=2x^2+x-10

Solution for =2x^2+x-10 equation:

Simplifying
0 = 2x2 + x + -10

Reorder the terms:
0 = -10 + x + 2x2

Solving
0 = -10 + x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + -1x + -2x2 = -10 + x + 2x2 + 10 + -1x + -2x2

Reorder the terms:
10 + -1x + -2x2 = -10 + 10 + x + -1x + 2x2 + -2x2

Combine like terms: -10 + 10 = 0
10 + -1x + -2x2 = 0 + x + -1x + 2x2 + -2x2
10 + -1x + -2x2 = x + -1x + 2x2 + -2x2

Combine like terms: x + -1x = 0
10 + -1x + -2x2 = 0 + 2x2 + -2x2
10 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
10 + -1x + -2x2 = 0

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

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
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
Solution
x = {2, -2.5}