90x^2-90x+225=0

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Solution for 90x^2-90x+225=0 equation: 


Simplifying
90x2 + -90x + 225 = 0

Reorder the terms:
225 + -90x + 90x2 = 0

Solving
225 + -90x + 90x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '45'.
45(5 + -2x + 2x2) = 0

Ignore the factor 45.

Subproblem 1
Set the factor '(5 + -2x + 2x2)' equal to zero and attempt to solve:

Simplifying
5 + -2x + 2x2 = 0

Solving
5 + -2x + 2x2 = 0

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

Divide each side by '2'.
2.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1x + x2 = 0 + -2.5
-1x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1x + x2 = -2.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -2.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
0.25 + -1x + x2 = -2.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2.25

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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