-48x^2+12x-140=0

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Solution for -48x^2+12x-140=0 equation: 


Simplifying
-48x2 + 12x + -140 = 0

Reorder the terms:
-140 + 12x + -48x2 = 0

Solving
-140 + 12x + -48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-35 + 3x + -12x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-35 + 3x + -12x2)' equal to zero and attempt to solve:

Simplifying
-35 + 3x + -12x2 = 0

Solving
-35 + 3x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
2.916666667 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-2.916666667' to each side of the equation.
2.916666667 + -0.25x + -2.916666667 + x2 = 0 + -2.916666667

Reorder the terms:
2.916666667 + -2.916666667 + -0.25x + x2 = 0 + -2.916666667

Combine like terms: 2.916666667 + -2.916666667 = 0.000000000
0.000000000 + -0.25x + x2 = 0 + -2.916666667
-0.25x + x2 = 0 + -2.916666667

Combine like terms: 0 + -2.916666667 = -2.916666667
-0.25x + x2 = -2.916666667

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -2.916666667 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -2.916666667 + 0.015625

Combine like terms: -2.916666667 + 0.015625 = -2.901041667
0.015625 + -0.25x + x2 = -2.901041667

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -2.901041667

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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