4x^2+17x+15=x

Solution for 4x^2+17x+15=x equation:

Simplifying
4x2 + 17x + 15 = x

Reorder the terms:
15 + 17x + 4x2 = x

Solving
15 + 17x + 4x2 = x

Solving for variable 'x'.

Reorder the terms:
15 + 17x + -1x + 4x2 = x + -1x

Combine like terms: 17x + -1x = 16x
15 + 16x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
15 + 16x + 4x2 = 0

Factor a trinomial.
(5 + 2x)(3 + 2x) = 0

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

Simplifying
5 + 2x = 0

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

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

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

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-2.5, -1.5}