22x^2+7x-15=0

Solution for 22x^2+7x-15=0 equation:

Simplifying
22x2 + 7x + -15 = 0

Reorder the terms:
-15 + 7x + 22x2 = 0

Solving
-15 + 7x + 22x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(15 + -22x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(15 + -22x)' equal to zero and attempt to solve:

Simplifying
15 + -22x = 0

Solving
15 + -22x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -22x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -22x = 0 + -15
-22x = 0 + -15

Combine like terms: 0 + -15 = -15
-22x = -15

Divide each side by '-22'.
x = 0.6818181818

Simplifying
x = 0.6818181818
Solution
x = {-1, 0.6818181818}