2x^2-62=-60x

Solution for 2x^2-62=-60x equation:

Simplifying
2x2 + -62 = -60x

Reorder the terms:
-62 + 2x2 = -60x

Solving
-62 + 2x2 = -60x

Solving for variable 'x'.

Reorder the terms:
-62 + 60x + 2x2 = -60x + 60x

Combine like terms: -60x + 60x = 0
-62 + 60x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-31 + 30x + x2) = 0

Factor a trinomial.
2((-31 + -1x)(1 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-31 + -1x)' equal to zero and attempt to solve:

Simplifying
-31 + -1x = 0

Solving
-31 + -1x = 0

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

Add '31' to each side of the equation.
-31 + 31 + -1x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -1x = 0 + 31
-1x = 0 + 31

Combine like terms: 0 + 31 = 31
-1x = 31

Divide each side by '-1'.
x = -31

Simplifying
x = -31
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 = {-31, 1}