x(x-5)=-65

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Solution for x(x-5)=-65 equation:


Simplifying
x(x + -5) = -65

Reorder the terms:
x(-5 + x) = -65
(-5 * x + x * x) = -65
(-5x + x2) = -65

Solving
-5x + x2 = -65

Solving for variable 'x'.

Reorder the terms:
65 + -5x + x2 = -65 + 65

Combine like terms: -65 + 65 = 0
65 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-65' to each side of the equation.
65 + -5x + -65 + x2 = 0 + -65

Reorder the terms:
65 + -65 + -5x + x2 = 0 + -65

Combine like terms: 65 + -65 = 0
0 + -5x + x2 = 0 + -65
-5x + x2 = 0 + -65

Combine like terms: 0 + -65 = -65
-5x + x2 = -65

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -65 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -65 + 6.25

Combine like terms: -65 + 6.25 = -58.75
6.25 + -5x + x2 = -58.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -58.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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