-60x^2+64x+4=64

Solution for -60x^2+64x+4=64 equation:

Simplifying
-60x2 + 64x + 4 = 64

Reorder the terms:
4 + 64x + -60x2 = 64

Solving
4 + 64x + -60x2 = 64

Solving for variable 'x'.

Reorder the terms:
4 + -64 + 64x + -60x2 = 64 + -64

Combine like terms: 4 + -64 = -60
-60 + 64x + -60x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-60 + 64x + -60x2 = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(-15 + 16x + -15x2)' equal to zero and attempt to solve:

Simplifying
-15 + 16x + -15x2 = 0

Solving
-15 + 16x + -15x2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
1 + -1.066666667x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.066666667x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.066666667x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.066666667x + x2 = 0 + -1
-1.066666667x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.066666667x + x2 = -1

The x term is -1.066666667x.  Take half its coefficient (-0.5333333335).
Square it (0.2844444446) and add it to both sides.

Add '0.2844444446' to each side of the equation.
-1.066666667x + 0.2844444446 + x2 = -1 + 0.2844444446

Reorder the terms:
0.2844444446 + -1.066666667x + x2 = -1 + 0.2844444446

Combine like terms: -1 + 0.2844444446 = -0.7155555554
0.2844444446 + -1.066666667x + x2 = -0.7155555554

Factor a perfect square on the left side:
(x + -0.5333333335)(x + -0.5333333335) = -0.7155555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.