16x^2-32x+60=0

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Solution for 16x^2-32x+60=0 equation: 


Simplifying
16x2 + -32x + 60 = 0

Reorder the terms:
60 + -32x + 16x2 = 0

Solving
60 + -32x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -8x + 4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(15 + -8x + 4x2)' equal to zero and attempt to solve:

Simplifying
15 + -8x + 4x2 = 0

Solving
15 + -8x + 4x2 = 0

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

Divide each side by '4'.
3.75 + -2x + x2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -2x + -3.75 + x2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -2x + x2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -2x + x2 = 0 + -3.75
-2x + x2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-2x + x2 = -3.75

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -3.75 + 1

Reorder the terms:
1 + -2x + x2 = -3.75 + 1

Combine like terms: -3.75 + 1 = -2.75
1 + -2x + x2 = -2.75

Factor a perfect square on the left side:
(x + -1)(x + -1) = -2.75

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.

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