-9x^2+10x=5

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Solution for -9x^2+10x=5 equation:


Simplifying
-9x2 + 10x = 5

Reorder the terms:
10x + -9x2 = 5

Solving
10x + -9x2 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + 10x + -9x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 10x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.5555555556 + -1.111111111x + x2 = 0

Move the constant term to the right:

Add '-0.5555555556' to each side of the equation.
0.5555555556 + -1.111111111x + -0.5555555556 + x2 = 0 + -0.5555555556

Reorder the terms:
0.5555555556 + -0.5555555556 + -1.111111111x + x2 = 0 + -0.5555555556

Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000
0.0000000000 + -1.111111111x + x2 = 0 + -0.5555555556
-1.111111111x + x2 = 0 + -0.5555555556

Combine like terms: 0 + -0.5555555556 = -0.5555555556
-1.111111111x + x2 = -0.5555555556

The x term is -1.111111111x.  Take half its coefficient (-0.5555555555).
Square it (0.3086419752) and add it to both sides.

Add '0.3086419752' to each side of the equation.
-1.111111111x + 0.3086419752 + x2 = -0.5555555556 + 0.3086419752

Reorder the terms:
0.3086419752 + -1.111111111x + x2 = -0.5555555556 + 0.3086419752

Combine like terms: -0.5555555556 + 0.3086419752 = -0.2469135804
0.3086419752 + -1.111111111x + x2 = -0.2469135804

Factor a perfect square on the left side:
(x + -0.5555555555)(x + -0.5555555555) = -0.2469135804

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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