4x^2+36x+81=16

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Solution for 4x^2+36x+81=16 equation:


Simplifying
4x2 + 36x + 81 = 16

Reorder the terms:
81 + 36x + 4x2 = 16

Solving
81 + 36x + 4x2 = 16

Solving for variable 'x'.

Reorder the terms:
81 + -16 + 36x + 4x2 = 16 + -16

Combine like terms: 81 + -16 = 65
65 + 36x + 4x2 = 16 + -16

Combine like terms: 16 + -16 = 0
65 + 36x + 4x2 = 0

Factor a trinomial.
(13 + 2x)(5 + 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 '(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

Solution

x = {-6.5, -2.5}

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