(2x+7)(80)=16x^2+56x

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Solution for (2x+7)(80)=16x^2+56x equation: 


Simplifying
(2x + 7)(80) = 16x2 + 56x

Reorder the terms:
(7 + 2x)(80) = 16x2 + 56x

Reorder the terms for easier multiplication:
80(7 + 2x) = 16x2 + 56x
(7 * 80 + 2x * 80) = 16x2 + 56x
(560 + 160x) = 16x2 + 56x

Reorder the terms:
560 + 160x = 56x + 16x2

Solving
560 + 160x = 56x + 16x2

Solving for variable 'x'.

Combine like terms: 160x + -56x = 104x
560 + 104x + -16x2 = 56x + 16x2 + -56x + -16x2

Reorder the terms:
560 + 104x + -16x2 = 56x + -56x + 16x2 + -16x2

Combine like terms: 56x + -56x = 0
560 + 104x + -16x2 = 0 + 16x2 + -16x2
560 + 104x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
560 + 104x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(70 + 13x + -2x2) = 0

Factor a trinomial.
8((10 + -1x)(7 + 2x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {10, -3.5}

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