2(x^2-31x+58)=

Solution for 2(x^2-31x+58)= equation:

Simplifying
2(x2 + -31x + 58) = 0

Reorder the terms:
2(58 + -31x + x2) = 0
(58 * 2 + -31x * 2 + x2 * 2) = 0
(116 + -62x + 2x2) = 0

Solving
116 + -62x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(58 + -31x + x2) = 0

Factor a trinomial.
2((2 + -1x)(29 + -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 '(29 + -1x)' equal to zero and attempt to solve:

Simplifying
29 + -1x = 0

Solving
29 + -1x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -1x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -1x = 0 + -29
-1x = 0 + -29

Combine like terms: 0 + -29 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29
Solution
x = {2, 29}