SOLUTION: Let a and b be real numbers such as a ≠ 0. Find the solutions for ax^2 + bx = 0.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Let a and b be real numbers such as a ≠ 0. Find the solutions for ax^2 + bx = 0.      Log On


   



Question 215104: Let a and b be real numbers such as a ≠ 0. Find the solutions for ax^2 + bx = 0.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ax%5E2%2Bbx=0 Start with the given equation.


x%28ax%2Bb%29=0 Factor out the GCF 'x'


x=0 or ax%2Bb=0 Set each factor equal to zero.


x=0 or ax=-b Subtract 'b' from both sides (for the second equation).


x=0 or x=-b%2Fa Divide both sides by 'a' to isolate 'x' (on the second equation)


So the solutions are x=0 or x=-b%2Fa

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let a and b be real numbers such as a ≠ 0. Find the solutions for ax^2 + bx = 0.
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ax^2+bx = 0
Factor:
x(ax+b) = 0
x = 0 or x = -b/a
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Cheers,
Stan H.