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Question 448926: If P=12 8 x p = q x 6
q = _______________
Answer by TheDoctor(14)   (Show Source):
You can put this solution on YOUR website! 8xp = qx(6)
Reorder the terms for easier multiplication:
8px = 6qx
Solving
8px = 6qx
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Divide each side by '8x'.
p = 0.75q
Simplifying
p = 0.75q
Simplifying
8x(0.75) = qx(6)
Reorder the terms for easier multiplication:
8 * 0.75x = qx(6)
Multiply 8 * 0.75
6x = qx(6)
Reorder the terms for easier multiplication:
6x = 6qx
Solving
6x = 6qx
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6qx' to each side of the equation.
-6qx + 6x = 6qx + -6qx
Combine like terms: 6qx + -6qx = 0
-6qx + 6x = 0
Factor out the Greatest Common Factor (GCF), '6x'.
6x(-1q + 1) = 0
Ignore the factor 6.
Subproblem 1Set the factor 'x' equal to zero and attempt to solve:
Simplifying
x = 0
Solving
x = 0
Move all terms containing x to the left, all other terms to the right.
Simplifying
x = 0
Subproblem 2Set the factor '(-1q + 1)' equal to zero and attempt to solve:
Simplifying
-1q + 1 = 0
Reorder the terms:
1 + -1q = 0
Solving
1 + -1q = 0
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1q = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1q = 0 + -1
-1q = 0 + -1
Combine like terms: 0 + -1 = -1
-1q = -1
Add 'q' to each side of the equation.
-1q + q = -1 + q
Combine like terms: -1q + q = 0
0 = -1 + q
Simplifying
0 = -1 + q
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.Solutionx = {0}
Simplifying
8(0.75) = q(6)
Multiply 8 * 0.75
6 = q(6)
Reorder the terms for easier multiplication:
6 = 6q
Solving
6 = 6q
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '-6q' to each side of the equation.
6 + -6q = 6q + -6q
Combine like terms: 6q + -6q = 0
6 + -6q = 0
Add '-6' to each side of the equation.
6 + -6 + -6q = 0 + -6
Combine like terms: 6 + -6 = 0
0 + -6q = 0 + -6
-6q = 0 + -6
Combine like terms: 0 + -6 = -6
-6q = -6
Divide each side by '-6'.
q = 1
Simplifying
q = 1
Simplifying
8(12) = q(6)
Multiply 8 * 12
96 = q(6)
Reorder the terms for easier multiplication:
96 = 6q
Solving
96 = 6q
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '-6q' to each side of the equation.
96 + -6q = 6q + -6q
Combine like terms: 6q + -6q = 0
96 + -6q = 0
Add '-96' to each side of the equation.
96 + -96 + -6q = 0 + -96
Combine like terms: 96 + -96 = 0
0 + -6q = 0 + -96
-6q = 0 + -96
Combine like terms: 0 + -96 = -96
-6q = -96
Divide each side by '-6'.
q = 16
Simplifying
q = 16
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