x^2+18x+81=49

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Solution for x^2+18x+81=49 equation:


Simplifying
x2 + 18x + 81 = 49

Reorder the terms:
81 + 18x + x2 = 49

Solving
81 + 18x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
81 + -49 + 18x + x2 = 49 + -49

Combine like terms: 81 + -49 = 32
32 + 18x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
32 + 18x + x2 = 0

Factor a trinomial.
(16 + x)(2 + x) = 0

Subproblem 1

Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16

Subproblem 2

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

Solution

x = {-16, -2}

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