800=60x+2x^2

Solution for 800=60x+2x^2 equation:

Simplifying
800 = 60x + 2x2

Solving
800 = 60x + 2x2

Solving for variable 'x'.

Reorder the terms:
800 + -60x + -2x2 = 60x + -60x + 2x2 + -2x2

Combine like terms: 60x + -60x = 0
800 + -60x + -2x2 = 0 + 2x2 + -2x2
800 + -60x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
800 + -60x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(400 + -30x + -1x2) = 0

Factor a trinomial.
2((10 + -1x)(40 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(40 + x)' equal to zero and attempt to solve:

Simplifying
40 + x = 0

Solving
40 + x = 0

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

Add '-40' to each side of the equation.
40 + -40 + x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + x = 0 + -40
x = 0 + -40

Combine like terms: 0 + -40 = -40
x = -40

Simplifying
x = -40
Solution
x = {10, -40}