(x-8)(x+6)=680

Solution for (x-8)(x+6)=680 equation:

Simplifying
(x + -8)(x + 6) = 680

Reorder the terms:
(-8 + x)(x + 6) = 680

Reorder the terms:
(-8 + x)(6 + x) = 680

Multiply (-8 + x) * (6 + x)
(-8(6 + x) + x(6 + x)) = 680
((6 * -8 + x * -8) + x(6 + x)) = 680
((-48 + -8x) + x(6 + x)) = 680
(-48 + -8x + (6 * x + x * x)) = 680
(-48 + -8x + (6x + x2)) = 680

Combine like terms: -8x + 6x = -2x
(-48 + -2x + x2) = 680

Solving
-48 + -2x + x2 = 680

Solving for variable 'x'.

Reorder the terms:
-48 + -680 + -2x + x2 = 680 + -680

Combine like terms: -48 + -680 = -728
-728 + -2x + x2 = 680 + -680

Combine like terms: 680 + -680 = 0
-728 + -2x + x2 = 0

Factor a trinomial.
(-26 + -1x)(28 + -1x) = 0

Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26
Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve:

Simplifying
28 + -1x = 0

Solving
28 + -1x = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 0 + -28
-1x = 0 + -28

Combine like terms: 0 + -28 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28
Solution
x = {-26, 28}