4x(4x-9)(8x+7)=0

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Solution for 4x(4x-9)(8x+7)=0 equation: 


Simplifying
4x(4x + -9)(8x + 7) = 0

Reorder the terms:
4x(-9 + 4x)(8x + 7) = 0

Reorder the terms:
4x(-9 + 4x)(7 + 8x) = 0

Multiply (-9 + 4x) * (7 + 8x)
4x(-9(7 + 8x) + 4x * (7 + 8x)) = 0
4x((7 * -9 + 8x * -9) + 4x * (7 + 8x)) = 0
4x((-63 + -72x) + 4x * (7 + 8x)) = 0
4x(-63 + -72x + (7 * 4x + 8x * 4x)) = 0
4x(-63 + -72x + (28x + 32x2)) = 0

Combine like terms: -72x + 28x = -44x
4x(-63 + -44x + 32x2) = 0
(-63 * 4x + -44x * 4x + 32x2 * 4x) = 0
(-252x + -176x2 + 128x3) = 0

Solving
-252x + -176x2 + 128x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-63 + -44x + 32x2) = 0

Factor a trinomial.
4x((-7 + -8x)(9 + -4x)) = 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 '(-7 + -8x)' equal to zero and attempt to solve:

Simplifying
-7 + -8x = 0

Solving
-7 + -8x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -8x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = 0 + 7
-8x = 0 + 7

Combine like terms: 0 + 7 = 7
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

Subproblem 3
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {0, -0.875, 2.25}

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