18=2x^2+32x-142

Solution for 18=2x^2+32x-142 equation:

Simplifying
18 = 2x2 + 32x + -142

Reorder the terms:
18 = -142 + 32x + 2x2

Solving
18 = -142 + 32x + 2x2

Solving for variable 'x'.

Combine like terms: 18 + 142 = 160
160 + -32x + -2x2 = -142 + 32x + 2x2 + 142 + -32x + -2x2

Reorder the terms:
160 + -32x + -2x2 = -142 + 142 + 32x + -32x + 2x2 + -2x2

Combine like terms: -142 + 142 = 0
160 + -32x + -2x2 = 0 + 32x + -32x + 2x2 + -2x2
160 + -32x + -2x2 = 32x + -32x + 2x2 + -2x2

Combine like terms: 32x + -32x = 0
160 + -32x + -2x2 = 0 + 2x2 + -2x2
160 + -32x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
160 + -32x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(80 + -16x + -1x2) = 0

Factor a trinomial.
2((4 + -1x)(20 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Solution
x = {4, -20}