(3x+5)(x-1)=16x

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Solution for (3x+5)(x-1)=16x equation: 


Simplifying
(3x + 5)(x + -1) = 16x

Reorder the terms:
(5 + 3x)(x + -1) = 16x

Reorder the terms:
(5 + 3x)(-1 + x) = 16x

Multiply (5 + 3x) * (-1 + x)
(5(-1 + x) + 3x * (-1 + x)) = 16x
((-1 * 5 + x * 5) + 3x * (-1 + x)) = 16x
((-5 + 5x) + 3x * (-1 + x)) = 16x
(-5 + 5x + (-1 * 3x + x * 3x)) = 16x
(-5 + 5x + (-3x + 3x2)) = 16x

Combine like terms: 5x + -3x = 2x
(-5 + 2x + 3x2) = 16x

Solving
-5 + 2x + 3x2 = 16x

Solving for variable 'x'.

Reorder the terms:
-5 + 2x + -16x + 3x2 = 16x + -16x

Combine like terms: 2x + -16x = -14x
-5 + -14x + 3x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
-5 + -14x + 3x2 = 0

Factor a trinomial.
(-1 + -3x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-0.3333333333, 5}

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