4x^2-128=16x

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Solution for 4x^2-128=16x equation:


Simplifying
4x2 + -128 = 16x

Reorder the terms:
-128 + 4x2 = 16x

Solving
-128 + 4x2 = 16x

Solving for variable 'x'.

Reorder the terms:
-128 + -16x + 4x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
-128 + -16x + 4x2 = 0

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

Factor a trinomial.
4((-4 + -1x)(8 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-4, 8}

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