34750=528x-2x^2

Solution for 34750=528x-2x^2 equation:

Simplifying
34750 = 528x + -2x2

Solving
34750 = 528x + -2x2

Solving for variable 'x'.

Reorder the terms:
34750 + -528x + 2x2 = 528x + -528x + -2x2 + 2x2

Combine like terms: 528x + -528x = 0
34750 + -528x + 2x2 = 0 + -2x2 + 2x2
34750 + -528x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
34750 + -528x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(17375 + -264x + x2) = 0

Factor a trinomial.
2((125 + -1x)(139 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(125 + -1x)' equal to zero and attempt to solve:

Simplifying
125 + -1x = 0

Solving
125 + -1x = 0

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

Add '-125' to each side of the equation.
125 + -125 + -1x = 0 + -125

Combine like terms: 125 + -125 = 0
0 + -1x = 0 + -125
-1x = 0 + -125

Combine like terms: 0 + -125 = -125
-1x = -125

Divide each side by '-1'.
x = 125

Simplifying
x = 125
Subproblem 2
Set the factor '(139 + -1x)' equal to zero and attempt to solve:

Simplifying
139 + -1x = 0

Solving
139 + -1x = 0

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

Add '-139' to each side of the equation.
139 + -139 + -1x = 0 + -139

Combine like terms: 139 + -139 = 0
0 + -1x = 0 + -139
-1x = 0 + -139

Combine like terms: 0 + -139 = -139
-1x = -139

Divide each side by '-1'.
x = 139

Simplifying
x = 139
Solution
x = {125, 139}