x^2+20x+29=-7

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Solution for x^2+20x+29=-7 equation:


Simplifying
x2 + 20x + 29 = -7

Reorder the terms:
29 + 20x + x2 = -7

Solving
29 + 20x + x2 = -7

Solving for variable 'x'.

Reorder the terms:
29 + 7 + 20x + x2 = -7 + 7

Combine like terms: 29 + 7 = 36
36 + 20x + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
36 + 20x + x2 = 0

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

Subproblem 1

Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18

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 = {-18, -2}

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