7x(x+8)=2x+16

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Solution for 7x(x+8)=2x+16 equation: 


Simplifying
7x(x + 8) = 2x + 16

Reorder the terms:
7x(8 + x) = 2x + 16
(8 * 7x + x * 7x) = 2x + 16
(56x + 7x2) = 2x + 16

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

Solving
56x + 7x2 = 16 + 2x

Solving for variable 'x'.

Reorder the terms:
-16 + 56x + -2x + 7x2 = 16 + 2x + -16 + -2x

Combine like terms: 56x + -2x = 54x
-16 + 54x + 7x2 = 16 + 2x + -16 + -2x

Reorder the terms:
-16 + 54x + 7x2 = 16 + -16 + 2x + -2x

Combine like terms: 16 + -16 = 0
-16 + 54x + 7x2 = 0 + 2x + -2x
-16 + 54x + 7x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 54x + 7x2 = 0

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


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

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

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

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-8, 0.2857142857}

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