(4x-2)(x+2)=15x+5

Solution for (4x-2)(x+2)=15x+5 equation:

Simplifying
(4x + -2)(x + 2) = 15x + 5

Reorder the terms:
(-2 + 4x)(x + 2) = 15x + 5

Reorder the terms:
(-2 + 4x)(2 + x) = 15x + 5

Multiply (-2 + 4x) * (2 + x)
(-2(2 + x) + 4x * (2 + x)) = 15x + 5
((2 * -2 + x * -2) + 4x * (2 + x)) = 15x + 5
((-4 + -2x) + 4x * (2 + x)) = 15x + 5
(-4 + -2x + (2 * 4x + x * 4x)) = 15x + 5
(-4 + -2x + (8x + 4x2)) = 15x + 5

Combine like terms: -2x + 8x = 6x
(-4 + 6x + 4x2) = 15x + 5

Reorder the terms:
-4 + 6x + 4x2 = 5 + 15x

Solving
-4 + 6x + 4x2 = 5 + 15x

Solving for variable 'x'.

Reorder the terms:
-4 + -5 + 6x + -15x + 4x2 = 5 + 15x + -5 + -15x

Combine like terms: -4 + -5 = -9
-9 + 6x + -15x + 4x2 = 5 + 15x + -5 + -15x

Combine like terms: 6x + -15x = -9x
-9 + -9x + 4x2 = 5 + 15x + -5 + -15x

Reorder the terms:
-9 + -9x + 4x2 = 5 + -5 + 15x + -15x

Combine like terms: 5 + -5 = 0
-9 + -9x + 4x2 = 0 + 15x + -15x
-9 + -9x + 4x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
-9 + -9x + 4x2 = 0

Factor a trinomial.
(-3 + -4x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 0 + 3
-4x = 0 + 3

Combine like terms: 0 + 3 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.75, 3}