4x(x-9)(x-14)=

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Solution for 4x(x-9)(x-14)= equation: 


Simplifying
4x(x + -9)(x + -14) = 0

Reorder the terms:
4x(-9 + x)(x + -14) = 0

Reorder the terms:
4x(-9 + x)(-14 + x) = 0

Multiply (-9 + x) * (-14 + x)
4x(-9(-14 + x) + x(-14 + x)) = 0
4x((-14 * -9 + x * -9) + x(-14 + x)) = 0
4x((126 + -9x) + x(-14 + x)) = 0
4x(126 + -9x + (-14 * x + x * x)) = 0
4x(126 + -9x + (-14x + x2)) = 0

Combine like terms: -9x + -14x = -23x
4x(126 + -23x + x2) = 0
(126 * 4x + -23x * 4x + x2 * 4x) = 0
(504x + -92x2 + 4x3) = 0

Solving
504x + -92x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(126 + -23x + x2) = 0

Factor a trinomial.
4x((9 + -1x)(14 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set 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 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

Subproblem 3
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {0, 9, 14}

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