2x(2x-9)(8x+7)=0

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Solution for 2x(2x-9)(8x+7)=0 equation: 


Simplifying
2x(2x + -9)(8x + 7) = 0

Reorder the terms:
2x(-9 + 2x)(8x + 7) = 0

Reorder the terms:
2x(-9 + 2x)(7 + 8x) = 0

Multiply (-9 + 2x) * (7 + 8x)
2x(-9(7 + 8x) + 2x * (7 + 8x)) = 0
2x((7 * -9 + 8x * -9) + 2x * (7 + 8x)) = 0
2x((-63 + -72x) + 2x * (7 + 8x)) = 0
2x(-63 + -72x + (7 * 2x + 8x * 2x)) = 0
2x(-63 + -72x + (14x + 16x2)) = 0

Combine like terms: -72x + 14x = -58x
2x(-63 + -58x + 16x2) = 0
(-63 * 2x + -58x * 2x + 16x2 * 2x) = 0
(-126x + -116x2 + 32x3) = 0

Solving
-126x + -116x2 + 32x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-63 + -58x + 16x2) = 0

Factor a trinomial.
2x((-7 + -8x)(9 + -2x)) = 0

Ignore the factor 2.

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 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0, -0.875, 4.5}

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