(x+9)(x-7)=-28

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Solution for (x+9)(x-7)=-28 equation: 


Simplifying
(x + 9)(x + -7) = -28

Reorder the terms:
(9 + x)(x + -7) = -28

Reorder the terms:
(9 + x)(-7 + x) = -28

Multiply (9 + x) * (-7 + x)
(9(-7 + x) + x(-7 + x)) = -28
((-7 * 9 + x * 9) + x(-7 + x)) = -28
((-63 + 9x) + x(-7 + x)) = -28
(-63 + 9x + (-7 * x + x * x)) = -28
(-63 + 9x + (-7x + x2)) = -28

Combine like terms: 9x + -7x = 2x
(-63 + 2x + x2) = -28

Solving
-63 + 2x + x2 = -28

Solving for variable 'x'.

Reorder the terms:
-63 + 28 + 2x + x2 = -28 + 28

Combine like terms: -63 + 28 = -35
-35 + 2x + x2 = -28 + 28

Combine like terms: -28 + 28 = 0
-35 + 2x + x2 = 0

Factor a trinomial.
(-7 + -1x)(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-7, 5}

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