-4x^2+50x-300=0

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Solution for -4x^2+50x-300=0 equation:


Simplifying
-4x2 + 50x + -300 = 0

Reorder the terms:
-300 + 50x + -4x2 = 0

Solving
-300 + 50x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-150 + 25x + -2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-150 + 25x + -2x2)' equal to zero and attempt to solve:

Simplifying
-150 + 25x + -2x2 = 0

Solving
-150 + 25x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
75 + -12.5x + x2 = 0

Move the constant term to the right:

Add '-75' to each side of the equation.
75 + -12.5x + -75 + x2 = 0 + -75

Reorder the terms:
75 + -75 + -12.5x + x2 = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -12.5x + x2 = 0 + -75
-12.5x + x2 = 0 + -75

Combine like terms: 0 + -75 = -75
-12.5x + x2 = -75

The x term is -12.5x.  Take half its coefficient (-6.25).
Square it (39.0625) and add it to both sides.

Add '39.0625' to each side of the equation.
-12.5x + 39.0625 + x2 = -75 + 39.0625

Reorder the terms:
39.0625 + -12.5x + x2 = -75 + 39.0625

Combine like terms: -75 + 39.0625 = -35.9375
39.0625 + -12.5x + x2 = -35.9375

Factor a perfect square on the left side:
(x + -6.25)(x + -6.25) = -35.9375

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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