(x+2)(7x-1)=16x+2x^2

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Solution for (x+2)(7x-1)=16x+2x^2 equation: 


Simplifying
(x + 2)(7x + -1) = 16x + 2x2

Reorder the terms:
(2 + x)(7x + -1) = 16x + 2x2

Reorder the terms:
(2 + x)(-1 + 7x) = 16x + 2x2

Multiply (2 + x) * (-1 + 7x)
(2(-1 + 7x) + x(-1 + 7x)) = 16x + 2x2
((-1 * 2 + 7x * 2) + x(-1 + 7x)) = 16x + 2x2
((-2 + 14x) + x(-1 + 7x)) = 16x + 2x2
(-2 + 14x + (-1 * x + 7x * x)) = 16x + 2x2
(-2 + 14x + (-1x + 7x2)) = 16x + 2x2

Combine like terms: 14x + -1x = 13x
(-2 + 13x + 7x2) = 16x + 2x2

Solving
-2 + 13x + 7x2 = 16x + 2x2

Solving for variable 'x'.

Reorder the terms:
-2 + 13x + -16x + 7x2 + -2x2 = 16x + 2x2 + -16x + -2x2

Combine like terms: 13x + -16x = -3x
-2 + -3x + 7x2 + -2x2 = 16x + 2x2 + -16x + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
-2 + -3x + 5x2 = 16x + 2x2 + -16x + -2x2

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

Combine like terms: 16x + -16x = 0
-2 + -3x + 5x2 = 0 + 2x2 + -2x2
-2 + -3x + 5x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + -3x + 5x2 = 0

Factor a trinomial.
(-2 + -5x)(1 + -1x) = 0


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

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 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 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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 = {-0.4, 1}

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