2x^2+18x=20

Solution for 2x^2+18x=20 equation:

Simplifying
2x2 + 18x = 20

Reorder the terms:
18x + 2x2 = 20

Solving
18x + 2x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 18x + 2x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 18x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 9x + x2) = 0

Factor a trinomial.
2((-10 + -1x)(1 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

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

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

Divide each side by '-1'.
x = -10

Simplifying
x = -10
Subproblem 2
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
Solution
x = {-10, 1}