-5x^2+55x=50

Solution for -5x^2+55x=50 equation:

Simplifying
-5x2 + 55x = 50

Reorder the terms:
55x + -5x2 = 50

Solving
55x + -5x2 = 50

Solving for variable 'x'.

Reorder the terms:
-50 + 55x + -5x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + 55x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-10 + 11x + -1x2) = 0

Factor a trinomial.
5((-10 + x)(1 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 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 + x = 0 + 10

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

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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {10, 1}