6x^2-60x+148=148

Solution for 6x^2-60x+148=148 equation:

Simplifying
6x2 + -60x + 148 = 148

Reorder the terms:
148 + -60x + 6x2 = 148

Add '-148' to each side of the equation.
148 + -60x + -148 + 6x2 = 148 + -148

Reorder the terms:
148 + -148 + -60x + 6x2 = 148 + -148

Combine like terms: 148 + -148 = 0
0 + -60x + 6x2 = 148 + -148
-60x + 6x2 = 148 + -148

Combine like terms: 148 + -148 = 0
-60x + 6x2 = 0

Solving
-60x + 6x2 = 0

Solving for variable 'x'.

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

Ignore the factor 6.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
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
Solution
x = {0, 10}