-2x^2+7x+30=15

Solution for -2x^2+7x+30=15 equation:

Simplifying
-2x2 + 7x + 30 = 15

Reorder the terms:
30 + 7x + -2x2 = 15

Solving
30 + 7x + -2x2 = 15

Solving for variable 'x'.

Reorder the terms:
30 + -15 + 7x + -2x2 = 15 + -15

Combine like terms: 30 + -15 = 15
15 + 7x + -2x2 = 15 + -15

Combine like terms: 15 + -15 = 0
15 + 7x + -2x2 = 0

Factor a trinomial.
(5 + -1x)(3 + 2x) = 0

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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 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 = {5, -1.5}