x^2+15x+20=4x+2

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Solution for x^2+15x+20=4x+2 equation: 


Simplifying
x2 + 15x + 20 = 4x + 2

Reorder the terms:
20 + 15x + x2 = 4x + 2

Reorder the terms:
20 + 15x + x2 = 2 + 4x

Solving
20 + 15x + x2 = 2 + 4x

Solving for variable 'x'.

Reorder the terms:
20 + -2 + 15x + -4x + x2 = 2 + 4x + -2 + -4x

Combine like terms: 20 + -2 = 18
18 + 15x + -4x + x2 = 2 + 4x + -2 + -4x

Combine like terms: 15x + -4x = 11x
18 + 11x + x2 = 2 + 4x + -2 + -4x

Reorder the terms:
18 + 11x + x2 = 2 + -2 + 4x + -4x

Combine like terms: 2 + -2 = 0
18 + 11x + x2 = 0 + 4x + -4x
18 + 11x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
18 + 11x + x2 = 0

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


Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

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

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

Simplifying
x = -9

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 = {-9, -2}

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