(2x+8)(x+8)-280=0

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Solution for (2x+8)(x+8)-280=0 equation: 


Simplifying
(2x + 8)(x + 8) + -280 = 0

Reorder the terms:
(8 + 2x)(x + 8) + -280 = 0

Reorder the terms:
(8 + 2x)(8 + x) + -280 = 0

Multiply (8 + 2x) * (8 + x)
(8(8 + x) + 2x * (8 + x)) + -280 = 0
((8 * 8 + x * 8) + 2x * (8 + x)) + -280 = 0
((64 + 8x) + 2x * (8 + x)) + -280 = 0
(64 + 8x + (8 * 2x + x * 2x)) + -280 = 0
(64 + 8x + (16x + 2x2)) + -280 = 0

Combine like terms: 8x + 16x = 24x
(64 + 24x + 2x2) + -280 = 0

Reorder the terms:
64 + -280 + 24x + 2x2 = 0

Combine like terms: 64 + -280 = -216
-216 + 24x + 2x2 = 0

Solving
-216 + 24x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-108 + 12x + x2) = 0

Factor a trinomial.
2((-18 + -1x)(6 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-18, 6}

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