(x+7)(x-5)=189

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Solution for (x+7)(x-5)=189 equation: 


Simplifying
(x + 7)(x + -5) = 189

Reorder the terms:
(7 + x)(x + -5) = 189

Reorder the terms:
(7 + x)(-5 + x) = 189

Multiply (7 + x) * (-5 + x)
(7(-5 + x) + x(-5 + x)) = 189
((-5 * 7 + x * 7) + x(-5 + x)) = 189
((-35 + 7x) + x(-5 + x)) = 189
(-35 + 7x + (-5 * x + x * x)) = 189
(-35 + 7x + (-5x + x2)) = 189

Combine like terms: 7x + -5x = 2x
(-35 + 2x + x2) = 189

Solving
-35 + 2x + x2 = 189

Solving for variable 'x'.

Reorder the terms:
-35 + -189 + 2x + x2 = 189 + -189

Combine like terms: -35 + -189 = -224
-224 + 2x + x2 = 189 + -189

Combine like terms: 189 + -189 = 0
-224 + 2x + x2 = 0

Factor a trinomial.
(-16 + -1x)(14 + -1x) = 0


Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

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

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

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-16, 14}

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