4x^2-16x+64=129

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Solution for 4x^2-16x+64=129 equation:


Simplifying
4x2 + -16x + 64 = 129

Reorder the terms:
64 + -16x + 4x2 = 129

Solving
64 + -16x + 4x2 = 129

Solving for variable 'x'.

Reorder the terms:
64 + -129 + -16x + 4x2 = 129 + -129

Combine like terms: 64 + -129 = -65
-65 + -16x + 4x2 = 129 + -129

Combine like terms: 129 + -129 = 0
-65 + -16x + 4x2 = 0

Factor a trinomial.
(-5 + -2x)(13 + -2x) = 0

Subproblem 1

Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5

Solution

x = {-2.5, 6.5}

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