=(x+7)(x+2)

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Solution for =(x+7)(x+2) equation: 


Simplifying
0 = (x + 7)(x + 2)

Reorder the terms:
0 = (7 + x)(x + 2)

Reorder the terms:
0 = (7 + x)(2 + x)

Multiply (7 + x) * (2 + x)
0 = (7(2 + x) + x(2 + x))
0 = ((2 * 7 + x * 7) + x(2 + x))
0 = ((14 + 7x) + x(2 + x))
0 = (14 + 7x + (2 * x + x * x))
0 = (14 + 7x + (2x + x2))

Combine like terms: 7x + 2x = 9x
0 = (14 + 9x + x2)

Solving
0 = 14 + 9x + x2

Solving for variable 'x'.

Combine like terms: 0 + -14 = -14
-14 + -9x + -1x2 = 14 + 9x + x2 + -14 + -9x + -1x2

Reorder the terms:
-14 + -9x + -1x2 = 14 + -14 + 9x + -9x + x2 + -1x2

Combine like terms: 14 + -14 = 0
-14 + -9x + -1x2 = 0 + 9x + -9x + x2 + -1x2
-14 + -9x + -1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
-14 + -9x + -1x2 = 0 + x2 + -1x2
-14 + -9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 + -9x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + 9x + x2) = 0

Factor a trinomial.
-1((7 + x)(2 + x)) = 0

Ignore the factor -1.

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 '(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 = {-7, -2}

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