(8x)(7x-4)=(5x)(11x)

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Solution for (8x)(7x-4)=(5x)(11x) equation:


Simplifying
(8x)(7x + -4) = (5x)(11x)

Remove parenthesis around (8x)
8x(7x + -4) = (5x)(11x)

Reorder the terms:
8x(-4 + 7x) = (5x)(11x)
(-4 * 8x + 7x * 8x) = (5x)(11x)
(-32x + 56x2) = (5x)(11x)

Remove parenthesis around (5x)
-32x + 56x2 = 5x(11x)

Remove parenthesis around (11x)
-32x + 56x2 = 5x * 11x

Reorder the terms for easier multiplication:
-32x + 56x2 = 5 * 11x * x

Multiply 5 * 11
-32x + 56x2 = 55x * x

Multiply x * x
-32x + 56x2 = 55x2

Solving
-32x + 56x2 = 55x2

Solving for variable 'x'.

Combine like terms: 56x2 + -55x2 = 1x2
-32x + 1x2 = 55x2 + -55x2

Combine like terms: 55x2 + -55x2 = 0
-32x + 1x2 = 0

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

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 '(-32 + x)' equal to zero and attempt to solve: Simplifying -32 + x = 0 Solving -32 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + x = 0 + 32 x = 0 + 32 Combine like terms: 0 + 32 = 32 x = 32 Simplifying x = 32

Solution

x = {0, 32}

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