32x-2x^2=128

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Solution for 32x-2x^2=128 equation:


Simplifying
32x + -2x2 = 128

Solving
32x + -2x2 = 128

Solving for variable 'x'.

Reorder the terms:
-128 + 32x + -2x2 = 128 + -128

Combine like terms: 128 + -128 = 0
-128 + 32x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-64 + 16x + -1x2) = 0

Factor a trinomial.
2((-8 + x)(8 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8

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 = {8, 8}

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