x^2+5x+2=4x+2

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


Simplifying
x2 + 5x + 2 = 4x + 2

Reorder the terms:
2 + 5x + x2 = 4x + 2

Reorder the terms:
2 + 5x + x2 = 2 + 4x

Add '-2' to each side of the equation.
2 + 5x + -2 + x2 = 2 + -2 + 4x

Reorder the terms:
2 + -2 + 5x + x2 = 2 + -2 + 4x

Combine like terms: 2 + -2 = 0
0 + 5x + x2 = 2 + -2 + 4x
5x + x2 = 2 + -2 + 4x

Combine like terms: 2 + -2 = 0
5x + x2 = 0 + 4x
5x + x2 = 4x

Solving
5x + x2 = 4x

Solving for variable 'x'.

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

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

Combine like terms: 4x + -4x = 0
1x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {0, -1}

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