x^2+4x+5=-6x+5

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


Simplifying
x2 + 4x + 5 = -6x + 5

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

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

Add '-5' to each side of the equation.
5 + 4x + -5 + x2 = 5 + -5 + -6x

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

Combine like terms: 5 + -5 = 0
0 + 4x + x2 = 5 + -5 + -6x
4x + x2 = 5 + -5 + -6x

Combine like terms: 5 + -5 = 0
4x + x2 = 0 + -6x
4x + x2 = -6x

Solving
4x + x2 = -6x

Solving for variable 'x'.

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

Combine like terms: 4x + 6x = 10x
10x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
10x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

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

Solution

x = {0, -10}

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