15x^2+26x-29=-8

Solution for 15x^2+26x-29=-8 equation:

Simplifying
15x2 + 26x + -29 = -8

Reorder the terms:
-29 + 26x + 15x2 = -8

Solving
-29 + 26x + 15x2 = -8

Solving for variable 'x'.

Reorder the terms:
-29 + 8 + 26x + 15x2 = -8 + 8

Combine like terms: -29 + 8 = -21
-21 + 26x + 15x2 = -8 + 8

Combine like terms: -8 + 8 = 0
-21 + 26x + 15x2 = 0

Factor a trinomial.
(-7 + -3x)(3 + -5x) = 0

Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333
Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-2.333333333, 0.6}