Factor using the GCF:
\[6x^3 - 9x^2 + 12x\]
Answer (3)
9x^2-12x=0Simple and best practice solution for 9x^2-12x=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.If it's not what You are looking for type in the equation solver your own equation and let us solve it.Equation: Solution for 9x^2-12x=0 equation: Simplifying 9x2 + -12x = 0
Reorder the terms: -12x + 9x2 = 0
Solving -12x + 9x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '3x'. 3x(-4 + 3x) = 0
Ignore the factor 3. 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 '(-4 + 3x)' equal to zero and attempt to solve:
Simplifying -4 + 3x = 0
Solving -4 + 3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4
Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4
Combine like terms: 0 + 4 = 4 3x = 4
Divide each side by '3'. x = 1.333333333
Simplifying x = 1.333333333Solutionx = {0, 1.333333333}
6x^3-9x^2+12x Their GCF is 3x so 3x(2x^2-3x+12)
The expression 6 x 3 − 9 x 2 + 12 x can be factored using the GCF, which is 3 x . Factoring out 3 x leads to the expression 3 x ( 2 x 2 − 3 x + 4 ) . This is the correctly factored form of the original polynomial according to the requirements.
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