2x^2+23x+63=(x+7)

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Solution for 2x^2+23x+63=(x+7) equation: 


Simplifying
2x2 + 23x + 63 = (x + 7)

Reorder the terms:
63 + 23x + 2x2 = (x + 7)

Reorder the terms:
63 + 23x + 2x2 = (7 + x)

Remove parenthesis around (7 + x)
63 + 23x + 2x2 = 7 + x

Solving
63 + 23x + 2x2 = 7 + x

Solving for variable 'x'.

Reorder the terms:
63 + -7 + 23x + -1x + 2x2 = 7 + x + -7 + -1x

Combine like terms: 63 + -7 = 56
56 + 23x + -1x + 2x2 = 7 + x + -7 + -1x

Combine like terms: 23x + -1x = 22x
56 + 22x + 2x2 = 7 + x + -7 + -1x

Reorder the terms:
56 + 22x + 2x2 = 7 + -7 + x + -1x

Combine like terms: 7 + -7 = 0
56 + 22x + 2x2 = 0 + x + -1x
56 + 22x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
56 + 22x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + 11x + x2) = 0

Factor a trinomial.
2((7 + x)(4 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {-7, -4}

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