x^2+15x=-50

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Solution for x^2+15x=-50 equation:


Simplifying
x2 + 15x = -50

Reorder the terms:
15x + x2 = -50

Solving
15x + x2 = -50

Solving for variable 'x'.

Reorder the terms:
50 + 15x + x2 = -50 + 50

Combine like terms: -50 + 50 = 0
50 + 15x + x2 = 0

Factor a trinomial.
(10 + x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {-10, -5}

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