3x^2-30x+80=5

Solution for 3x^2-30x+80=5 equation:

Simplifying
3x2 + -30x + 80 = 5

Reorder the terms:
80 + -30x + 3x2 = 5

Solving
80 + -30x + 3x2 = 5

Solving for variable 'x'.

Reorder the terms:
80 + -5 + -30x + 3x2 = 5 + -5

Combine like terms: 80 + -5 = 75
75 + -30x + 3x2 = 5 + -5

Combine like terms: 5 + -5 = 0
75 + -30x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(25 + -10x + x2) = 0

Factor a trinomial.
3((5 + -1x)(5 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

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