3x(2x+86)10(2+2)=5(2x+x)

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Solution for 3x(2x+86)10(2+2)=5(2x+x) equation: 


Simplifying
3x(2x + 86) * 10(2 + 2) = 5(2x + x)

Reorder the terms:
3x(86 + 2x) * 10(2 + 2) = 5(2x + x)

Combine like terms: 2 + 2 = 4
3x(86 + 2x) * 10(4) = 5(2x + x)

Reorder the terms for easier multiplication:
3 * 10 * 4x(86 + 2x) = 5(2x + x)

Multiply 3 * 10
30 * 4x(86 + 2x) = 5(2x + x)

Multiply 30 * 4
120x(86 + 2x) = 5(2x + x)
(86 * 120x + 2x * 120x) = 5(2x + x)
(10320x + 240x2) = 5(2x + x)

Combine like terms: 2x + x = 3x
10320x + 240x2 = 5(3x)

Remove parenthesis around (3x)
10320x + 240x2 = 5 * 3x

Multiply 5 * 3
10320x + 240x2 = 15x

Solving
10320x + 240x2 = 15x

Solving for variable 'x'.

Reorder the terms:
10320x + -15x + 240x2 = 15x + -15x

Combine like terms: 10320x + -15x = 10305x
10305x + 240x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
10305x + 240x2 = 0

Factor out the Greatest Common Factor (GCF), '15x'.
15x(687 + 16x) = 0

Ignore the factor 15.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(687 + 16x)' equal to zero and attempt to solve:

Simplifying
687 + 16x = 0

Solving
687 + 16x = 0

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

Add '-687' to each side of the equation.
687 + -687 + 16x = 0 + -687

Combine like terms: 687 + -687 = 0
0 + 16x = 0 + -687
16x = 0 + -687

Combine like terms: 0 + -687 = -687
16x = -687

Divide each side by '16'.
x = -42.9375

Simplifying
x = -42.9375
Solution
x = {0, -42.9375}

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