0=2(x^2+7x-18)

Solution for 0=2(x^2+7x-18) equation:

Simplifying
0 = 2(x2 + 7x + -18)

Reorder the terms:
0 = 2(-18 + 7x + x2)
0 = (-18 * 2 + 7x * 2 + x2 * 2)
0 = (-36 + 14x + 2x2)

Solving
0 = -36 + 14x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 36 = 36
36 + -14x + -2x2 = -36 + 14x + 2x2 + 36 + -14x + -2x2

Reorder the terms:
36 + -14x + -2x2 = -36 + 36 + 14x + -14x + 2x2 + -2x2

Combine like terms: -36 + 36 = 0
36 + -14x + -2x2 = 0 + 14x + -14x + 2x2 + -2x2
36 + -14x + -2x2 = 14x + -14x + 2x2 + -2x2

Combine like terms: 14x + -14x = 0
36 + -14x + -2x2 = 0 + 2x2 + -2x2
36 + -14x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
36 + -14x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -7x + -1x2) = 0

Factor a trinomial.
2((2 + -1x)(9 + x)) = 0

Ignore the factor 2.
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 '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {2, -9}