-5x^2=-5x+9

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Solution for -5x^2=-5x+9 equation:


Simplifying
-5x2 = -5x + 9

Reorder the terms:
-5x2 = 9 + -5x

Solving
-5x2 = 9 + -5x

Solving for variable 'x'.

Reorder the terms:
-9 + 5x + -5x2 = 9 + -5x + -9 + 5x

Reorder the terms:
-9 + 5x + -5x2 = 9 + -9 + -5x + 5x

Combine like terms: 9 + -9 = 0
-9 + 5x + -5x2 = 0 + -5x + 5x
-9 + 5x + -5x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-9 + 5x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1.8 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + -1x + -1.8 + x2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + -1x + x2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -1x + x2 = 0 + -1.8
-1x + x2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
-1x + x2 = -1.8

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 = -1.8 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.8 + 0.25

Combine like terms: -1.8 + 0.25 = -1.55
0.25 + -1x + x2 = -1.55

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.55

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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