x^2+12x+36=169

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Solution for x^2+12x+36=169 equation:


Simplifying
x2 + 12x + 36 = 169

Reorder the terms:
36 + 12x + x2 = 169

Solving
36 + 12x + x2 = 169

Solving for variable 'x'.

Reorder the terms:
36 + -169 + 12x + x2 = 169 + -169

Combine like terms: 36 + -169 = -133
-133 + 12x + x2 = 169 + -169

Combine like terms: 169 + -169 = 0
-133 + 12x + x2 = 0

Factor a trinomial.
(-19 + -1x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-19, 7}

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