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

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Solution for 0=(x+2)(x-7) equation: 


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

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

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

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

Combine like terms: 2x + -7x = -5x
0 = (-14 + -5x + x2)

Solving
0 = -14 + -5x + x2

Solving for variable 'x'.

Combine like terms: 0 + 14 = 14
14 + 5x + -1x2 = -14 + -5x + x2 + 14 + 5x + -1x2

Reorder the terms:
14 + 5x + -1x2 = -14 + 14 + -5x + 5x + x2 + -1x2

Combine like terms: -14 + 14 = 0
14 + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2
14 + 5x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
14 + 5x + -1x2 = 0 + x2 + -1x2
14 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14 + 5x + -1x2 = 0

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


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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
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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