x^2+12x-10=-30

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Solution for x^2+12x-10=-30 equation:


Simplifying
x2 + 12x + -10 = -30

Reorder the terms:
-10 + 12x + x2 = -30

Solving
-10 + 12x + x2 = -30

Solving for variable 'x'.

Reorder the terms:
-10 + 30 + 12x + x2 = -30 + 30

Combine like terms: -10 + 30 = 20
20 + 12x + x2 = -30 + 30

Combine like terms: -30 + 30 = 0
20 + 12x + x2 = 0

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

Subproblem 1

Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10

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 = {-10, -2}

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