SOLUTION: 7x^3-33x=30x

Question 625925: 7x^3-33x=30x
Answer by lenny460(1073) (Show Source): You can put this solution on YOUR website!
7x^3 - 33x = 30x
Subtract 30x from each side of the equation.
7x^3 - 33x - 30x = 30x - 30x
Combine like terms:
-33x - 30x = -63x
30x - 30x = 0
We now have:
7x^3 - 63 = 0
Factor out the Greatest Common Factor (GCF) = 7x
7x(x^2 - 9) = 0
Factor a difference between two squares.
7x(x + 3)(x - 3) = 0
Ignore the factor 7.

Subproblem 1
Set the factor x equal to zero (0) and attempt to solve:
x = 0

Subproblem 2
Set the factor (x + 3) equal to zero (0) and attempt to solve.
x + 3 = 0
Subtract 3 from each side of the equation.
x + 3 - 3 = 0 - 3
Combine like terms:
3 - 3 = 0
0 - 3 = -3
x = -3

Subproblem 3
Set the factor (x - 3) equal to zero (0) and attempt to solve:
x - 3 = 0
Add 3 to each side of the equation.
x - 3 + 3 = 0 + 3
Combine like terms:
-3 + 3 = 0
0 + 3 = 3
x = 3

Solution:
x (0, -3, 3)

obuong3@aol.com
RELATED QUESTIONS
-33x/3 (answered by checkley75)

(7x^2-x+1)-(2x^2-x-3)-(5x^2+33x-10) (answered by jim_thompson5910)

factor complete : 7x^2 + 33x - 10 =... (answered by jim_thompson5910)

Question says to simplify... 3x^2(2x^3 - 1) - 2(2x^2 - 3) My work: 2x^3 = 8x (answered by funmath)

Hi, Can you please help me with this multiplication problem... (answered by Alan3354)

Hello, Can you please help me simplify this problem. (7x^4+x^2-3)-(3x^3+2x^2+33x-2) (answered by Alan3354)

How many gallons of cream that is 30% butterfat must be mixed with milk that is 3%... (answered by Alan3354)

factor 3x^3 +33x^2... (answered by Earlsdon)

Use synthetic division and the Remainder Theorem to evaluate P(c), where... (answered by josgarithmetic)