750=2x^2-60x+400

Solution for 750=2x^2-60x+400 equation:

Simplifying
750 = 2x2 + -60x + 400

Reorder the terms:
750 = 400 + -60x + 2x2

Solving
750 = 400 + -60x + 2x2

Solving for variable 'x'.

Combine like terms: 750 + -400 = 350
350 + 60x + -2x2 = 400 + -60x + 2x2 + -400 + 60x + -2x2

Reorder the terms:
350 + 60x + -2x2 = 400 + -400 + -60x + 60x + 2x2 + -2x2

Combine like terms: 400 + -400 = 0
350 + 60x + -2x2 = 0 + -60x + 60x + 2x2 + -2x2
350 + 60x + -2x2 = -60x + 60x + 2x2 + -2x2

Combine like terms: -60x + 60x = 0
350 + 60x + -2x2 = 0 + 2x2 + -2x2
350 + 60x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
350 + 60x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(175 + 30x + -1x2) = 0

Factor a trinomial.
2((35 + -1x)(5 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {35, -5}