x^2+4x-5=-9

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Solution for x^2+4x-5=-9 equation:


Simplifying
x2 + 4x + -5 = -9

Reorder the terms:
-5 + 4x + x2 = -9

Solving
-5 + 4x + x2 = -9

Solving for variable 'x'.

Reorder the terms:
-5 + 9 + 4x + x2 = -9 + 9

Combine like terms: -5 + 9 = 4
4 + 4x + x2 = -9 + 9

Combine like terms: -9 + 9 = 0
4 + 4x + x2 = 0

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

Subproblem 1

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

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 = {-2, -2}

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