64x^2-124x+60=0

Solution for 64x^2-124x+60=0 equation:

Simplifying
64x2 + -124x + 60 = 0

Reorder the terms:
60 + -124x + 64x2 = 0

Solving
60 + -124x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -31x + 16x2) = 0

Factor a trinomial.
4((15 + -16x)(1 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(15 + -16x)' equal to zero and attempt to solve:

Simplifying
15 + -16x = 0

Solving
15 + -16x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -16x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -16x = 0 + -15
-16x = 0 + -15

Combine like terms: 0 + -15 = -15
-16x = -15

Divide each side by '-16'.
x = 0.9375

Simplifying
x = 0.9375
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {0.9375, 1}