300+2x^2=62x

Solution for 300+2x^2=62x equation:

Simplifying
300 + 2x2 = 62x

Solving
300 + 2x2 = 62x

Solving for variable 'x'.

Reorder the terms:
300 + -62x + 2x2 = 62x + -62x

Combine like terms: 62x + -62x = 0
300 + -62x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(150 + -31x + x2) = 0

Factor a trinomial.
2((6 + -1x)(25 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25
Solution
x = {6, 25}