x^2-6x=-15

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Solution for x^2-6x=-15 equation:


Simplifying
x2 + -6x = -15

Reorder the terms:
-6x + x2 = -15

Solving
-6x + x2 = -15

Solving for variable 'x'.

Reorder the terms:
15 + -6x + x2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -6x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -6x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -6x + x2 = 0 + -15
-6x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-6x + x2 = -15

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -15 + 9

Reorder the terms:
9 + -6x + x2 = -15 + 9

Combine like terms: -15 + 9 = -6
9 + -6x + x2 = -6

Factor a perfect square on the left side:
(x + -3)(x + -3) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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