-16+5x=-7x(-6+8x)+3

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Solution for -16+5x=-7x(-6+8x)+3 equation: 


Simplifying
-16 + 5x = -7x(-6 + 8x) + 3
-16 + 5x = (-6 * -7x + 8x * -7x) + 3
-16 + 5x = (42x + -56x2) + 3

Reorder the terms:
-16 + 5x = 3 + 42x + -56x2

Solving
-16 + 5x = 3 + 42x + -56x2

Solving for variable 'x'.

Reorder the terms:
-16 + -3 + 5x + -42x + 56x2 = 3 + 42x + -56x2 + -3 + -42x + 56x2

Combine like terms: -16 + -3 = -19
-19 + 5x + -42x + 56x2 = 3 + 42x + -56x2 + -3 + -42x + 56x2

Combine like terms: 5x + -42x = -37x
-19 + -37x + 56x2 = 3 + 42x + -56x2 + -3 + -42x + 56x2

Reorder the terms:
-19 + -37x + 56x2 = 3 + -3 + 42x + -42x + -56x2 + 56x2

Combine like terms: 3 + -3 = 0
-19 + -37x + 56x2 = 0 + 42x + -42x + -56x2 + 56x2
-19 + -37x + 56x2 = 42x + -42x + -56x2 + 56x2

Combine like terms: 42x + -42x = 0
-19 + -37x + 56x2 = 0 + -56x2 + 56x2
-19 + -37x + 56x2 = -56x2 + 56x2

Combine like terms: -56x2 + 56x2 = 0
-19 + -37x + 56x2 = 0

Factor a trinomial.
(-19 + -56x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-19 + -56x)' equal to zero and attempt to solve:

Simplifying
-19 + -56x = 0

Solving
-19 + -56x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -56x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -56x = 0 + 19
-56x = 0 + 19

Combine like terms: 0 + 19 = 19
-56x = 19

Divide each side by '-56'.
x = -0.3392857143

Simplifying
x = -0.3392857143

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-0.3392857143, 1}

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