20*x^2-10*x+975=0

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Solution for 20*x^2-10*x+975=0 equation: 


Simplifying
20x2 + -10x + 975 = 0

Reorder the terms:
975 + -10x + 20x2 = 0

Solving
975 + -10x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(195 + -2x + 4x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(195 + -2x + 4x2)' equal to zero and attempt to solve:

Simplifying
195 + -2x + 4x2 = 0

Solving
195 + -2x + 4x2 = 0

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

Divide each side by '4'.
48.75 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-48.75' to each side of the equation.
48.75 + -0.5x + -48.75 + x2 = 0 + -48.75

Reorder the terms:
48.75 + -48.75 + -0.5x + x2 = 0 + -48.75

Combine like terms: 48.75 + -48.75 = 0.00
0.00 + -0.5x + x2 = 0 + -48.75
-0.5x + x2 = 0 + -48.75

Combine like terms: 0 + -48.75 = -48.75
-0.5x + x2 = -48.75

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -48.75 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -48.75 + 0.0625

Combine like terms: -48.75 + 0.0625 = -48.6875
0.0625 + -0.5x + x2 = -48.6875

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -48.6875

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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