-x^2+3x=64

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Solution for -x^2+3x=64 equation:


Simplifying
-1x2 + 3x = 64

Reorder the terms:
3x + -1x2 = 64

Solving
3x + -1x2 = 64

Solving for variable 'x'.

Reorder the terms:
-64 + 3x + -1x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + 3x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
64 + -3x + x2 = 0

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + -3x + -64 + x2 = 0 + -64

Reorder the terms:
64 + -64 + -3x + x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -3x + x2 = 0 + -64
-3x + x2 = 0 + -64

Combine like terms: 0 + -64 = -64
-3x + x2 = -64

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -64 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -64 + 2.25

Combine like terms: -64 + 2.25 = -61.75
2.25 + -3x + x2 = -61.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -61.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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