(2x-6)(x+8)=780

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Solution for (2x-6)(x+8)=780 equation: 


Simplifying
(2x + -6)(x + 8) = 780

Reorder the terms:
(-6 + 2x)(x + 8) = 780

Reorder the terms:
(-6 + 2x)(8 + x) = 780

Multiply (-6 + 2x) * (8 + x)
(-6(8 + x) + 2x * (8 + x)) = 780
((8 * -6 + x * -6) + 2x * (8 + x)) = 780
((-48 + -6x) + 2x * (8 + x)) = 780
(-48 + -6x + (8 * 2x + x * 2x)) = 780
(-48 + -6x + (16x + 2x2)) = 780

Combine like terms: -6x + 16x = 10x
(-48 + 10x + 2x2) = 780

Solving
-48 + 10x + 2x2 = 780

Solving for variable 'x'.

Reorder the terms:
-48 + -780 + 10x + 2x2 = 780 + -780

Combine like terms: -48 + -780 = -828
-828 + 10x + 2x2 = 780 + -780

Combine like terms: 780 + -780 = 0
-828 + 10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-414 + 5x + x2) = 0

Factor a trinomial.
2((-23 + -1x)(18 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-23 + -1x)' equal to zero and attempt to solve:

Simplifying
-23 + -1x = 0

Solving
-23 + -1x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -1x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1x = 0 + 23
-1x = 0 + 23

Combine like terms: 0 + 23 = 23
-1x = 23

Divide each side by '-1'.
x = -23

Simplifying
x = -23

Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-23, 18}

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