-3x-x^2=-130

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Solution for -3x-x^2=-130 equation:


Simplifying
-3x + -1x2 = -130

Solving
-3x + -1x2 = -130

Solving for variable 'x'.

Reorder the terms:
130 + -3x + -1x2 = -130 + 130

Combine like terms: -130 + 130 = 0
130 + -3x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(13 + x) = 0

Subproblem 1

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Subproblem 2

Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13

Solution

x = {10, -13}

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