4x^2+15=-23x

Solution for 4x^2+15=-23x equation:

Simplifying
4x2 + 15 = -23x

Reorder the terms:
15 + 4x2 = -23x

Solving
15 + 4x2 = -23x

Solving for variable 'x'.

Reorder the terms:
15 + 23x + 4x2 = -23x + 23x

Combine like terms: -23x + 23x = 0
15 + 23x + 4x2 = 0

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

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

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Subproblem 2
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
Solution
x = {-5, -0.75}