10x^2-60x+80=-10

Solution for 10x^2-60x+80=-10 equation:

Simplifying
10x2 + -60x + 80 = -10

Reorder the terms:
80 + -60x + 10x2 = -10

Solving
80 + -60x + 10x2 = -10

Solving for variable 'x'.

Reorder the terms:
80 + 10 + -60x + 10x2 = -10 + 10

Combine like terms: 80 + 10 = 90
90 + -60x + 10x2 = -10 + 10

Combine like terms: -10 + 10 = 0
90 + -60x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(9 + -6x + x2) = 0

Factor a trinomial.
10((3 + -1x)(3 + -1x)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3, 3}