-4=x^2+6x+5

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Solution for -4=x^2+6x+5 equation:


Simplifying
-4 = x2 + 6x + 5

Reorder the terms:
-4 = 5 + 6x + x2

Solving
-4 = 5 + 6x + x2

Solving for variable 'x'.

Combine like terms: -4 + -5 = -9
-9 + -6x + -1x2 = 5 + 6x + x2 + -5 + -6x + -1x2

Reorder the terms:
-9 + -6x + -1x2 = 5 + -5 + 6x + -6x + x2 + -1x2

Combine like terms: 5 + -5 = 0
-9 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
-9 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
-9 + -6x + -1x2 = 0 + x2 + -1x2
-9 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + -6x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 6x + x2) = 0

Factor a trinomial.
-1((3 + x)(3 + x)) = 0

Ignore the factor -1.

Subproblem 1

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

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 = {-3, -3}

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