2x^2-32x+130=4

Solution for 2x^2-32x+130=4 equation:

Simplifying
2x2 + -32x + 130 = 4

Reorder the terms:
130 + -32x + 2x2 = 4

Solving
130 + -32x + 2x2 = 4

Solving for variable 'x'.

Reorder the terms:
130 + -4 + -32x + 2x2 = 4 + -4

Combine like terms: 130 + -4 = 126
126 + -32x + 2x2 = 4 + -4

Combine like terms: 4 + -4 = 0
126 + -32x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(63 + -16x + x2) = 0

Factor a trinomial.
2((7 + -1x)(9 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 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 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {7, 9}