-2x^2+14x-60=0

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Solution for -2x^2+14x-60=0 equation: 


Simplifying
-2x2 + 14x + -60 = 0

Reorder the terms:
-60 + 14x + -2x2 = 0

Solving
-60 + 14x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + 7x + -1x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-30 + 7x + -1x2)' equal to zero and attempt to solve:

Simplifying
-30 + 7x + -1x2 = 0

Solving
-30 + 7x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
30 + -7x + x2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -7x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + -7x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -7x + x2 = 0 + -30
-7x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
-7x + x2 = -30

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -30 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -30 + 12.25

Combine like terms: -30 + 12.25 = -17.75
12.25 + -7x + x2 = -17.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -17.75

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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