15x^2-3000x+136500=0

Solution for 15x^2-3000x+136500=0 equation:

Simplifying
15x2 + -3000x + 136500 = 0

Reorder the terms:
136500 + -3000x + 15x2 = 0

Solving
136500 + -3000x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15'.
15(9100 + -200x + x2) = 0

Factor a trinomial.
15((70 + -1x)(130 + -1x)) = 0

Ignore the factor 15.
Subproblem 1
Set the factor '(70 + -1x)' equal to zero and attempt to solve:

Simplifying
70 + -1x = 0

Solving
70 + -1x = 0

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

Add '-70' to each side of the equation.
70 + -70 + -1x = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -1x = 0 + -70
-1x = 0 + -70

Combine like terms: 0 + -70 = -70
-1x = -70

Divide each side by '-1'.
x = 70

Simplifying
x = 70
Subproblem 2
Set the factor '(130 + -1x)' equal to zero and attempt to solve:

Simplifying
130 + -1x = 0

Solving
130 + -1x = 0

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

Add '-130' to each side of the equation.
130 + -130 + -1x = 0 + -130

Combine like terms: 130 + -130 = 0
0 + -1x = 0 + -130
-1x = 0 + -130

Combine like terms: 0 + -130 = -130
-1x = -130

Divide each side by '-1'.
x = 130

Simplifying
x = 130
Solution
x = {70, 130}