0=15x^2-92x+12

Solution for 0=15x^2-92x+12 equation:

Simplifying
0 = 15x2 + -92x + 12

Reorder the terms:
0 = 12 + -92x + 15x2

Solving
0 = 12 + -92x + 15x2

Solving for variable 'x'.

Combine like terms: 0 + -12 = -12
-12 + 92x + -15x2 = 12 + -92x + 15x2 + -12 + 92x + -15x2

Reorder the terms:
-12 + 92x + -15x2 = 12 + -12 + -92x + 92x + 15x2 + -15x2

Combine like terms: 12 + -12 = 0
-12 + 92x + -15x2 = 0 + -92x + 92x + 15x2 + -15x2
-12 + 92x + -15x2 = -92x + 92x + 15x2 + -15x2

Combine like terms: -92x + 92x = 0
-12 + 92x + -15x2 = 0 + 15x2 + -15x2
-12 + 92x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-12 + 92x + -15x2 = 0

Factor a trinomial.
(-6 + x)(2 + -15x) = 0

Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(2 + -15x)' equal to zero and attempt to solve:

Simplifying
2 + -15x = 0

Solving
2 + -15x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -15x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -15x = 0 + -2
-15x = 0 + -2

Combine like terms: 0 + -2 = -2
-15x = -2

Divide each side by '-15'.
x = 0.1333333333

Simplifying
x = 0.1333333333
Solution
x = {6, 0.1333333333}