2x^2-16x-30=10

Solution for 2x^2-16x-30=10 equation:

Simplifying
2x2 + -16x + -30 = 10

Reorder the terms:
-30 + -16x + 2x2 = 10

Solving
-30 + -16x + 2x2 = 10

Solving for variable 'x'.

Reorder the terms:
-30 + -10 + -16x + 2x2 = 10 + -10

Combine like terms: -30 + -10 = -40
-40 + -16x + 2x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-40 + -16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -8x + x2) = 0

Factor a trinomial.
2((-2 + -1x)(10 + -1x)) = 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 '(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
Solution
x = {-2, 10}