2(x-16)=3(-5x)(6+7x)

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Solution for 2(x-16)=3(-5x)(6+7x) equation: 


Simplifying
2(x + -16) = 3(-5x)(6 + 7x)

Reorder the terms:
2(-16 + x) = 3(-5x)(6 + 7x)
(-16 * 2 + x * 2) = 3(-5x)(6 + 7x)
(-32 + 2x) = 3(-5x)(6 + 7x)

Remove parenthesis around (-5x)
-32 + 2x = 3 * -5x(6 + 7x)

Multiply 3 * -5
-32 + 2x = -15x(6 + 7x)
-32 + 2x = (6 * -15x + 7x * -15x)
-32 + 2x = (-90x + -105x2)

Solving
-32 + 2x = -90x + -105x2

Solving for variable 'x'.

Combine like terms: 2x + 90x = 92x
-32 + 92x + 105x2 = -90x + -105x2 + 90x + 105x2

Reorder the terms:
-32 + 92x + 105x2 = -90x + 90x + -105x2 + 105x2

Combine like terms: -90x + 90x = 0
-32 + 92x + 105x2 = 0 + -105x2 + 105x2
-32 + 92x + 105x2 = -105x2 + 105x2

Combine like terms: -105x2 + 105x2 = 0
-32 + 92x + 105x2 = 0

Factor a trinomial.
(-8 + -7x)(4 + -15x) = 0


Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 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 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

Subproblem 2
Set the factor '(4 + -15x)' equal to zero and attempt to solve:

Simplifying
4 + -15x = 0

Solving
4 + -15x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -15x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -15x = 0 + -4
-15x = 0 + -4

Combine like terms: 0 + -4 = -4
-15x = -4

Divide each side by '-15'.
x = 0.2666666667

Simplifying
x = 0.2666666667
Solution
x = {-1.142857143, 0.2666666667}

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