4x^2+32x+64=25

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Solution for 4x^2+32x+64=25 equation:


Simplifying
4x2 + 32x + 64 = 25

Reorder the terms:
64 + 32x + 4x2 = 25

Solving
64 + 32x + 4x2 = 25

Solving for variable 'x'.

Reorder the terms:
64 + -25 + 32x + 4x2 = 25 + -25

Combine like terms: 64 + -25 = 39
39 + 32x + 4x2 = 25 + -25

Combine like terms: 25 + -25 = 0
39 + 32x + 4x2 = 0

Factor a trinomial.
(13 + 2x)(3 + 2x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Solution

x = {-6.5, -1.5}

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