x^2+10x+18=-3

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Solution for x^2+10x+18=-3 equation:


Simplifying
x2 + 10x + 18 = -3

Reorder the terms:
18 + 10x + x2 = -3

Solving
18 + 10x + x2 = -3

Solving for variable 'x'.

Reorder the terms:
18 + 3 + 10x + x2 = -3 + 3

Combine like terms: 18 + 3 = 21
21 + 10x + x2 = -3 + 3

Combine like terms: -3 + 3 = 0
21 + 10x + x2 = 0

Factor a trinomial.
(7 + x)(3 + x) = 0

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {-7, -3}

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