(x-15)(x-15)=-36

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Solution for (x-15)(x-15)=-36 equation: 


Simplifying
(x + -15)(x + -15) = -36

Reorder the terms:
(-15 + x)(x + -15) = -36

Reorder the terms:
(-15 + x)(-15 + x) = -36

Multiply (-15 + x) * (-15 + x)
(-15(-15 + x) + x(-15 + x)) = -36
((-15 * -15 + x * -15) + x(-15 + x)) = -36
((225 + -15x) + x(-15 + x)) = -36
(225 + -15x + (-15 * x + x * x)) = -36
(225 + -15x + (-15x + x2)) = -36

Combine like terms: -15x + -15x = -30x
(225 + -30x + x2) = -36

Solving
225 + -30x + x2 = -36

Solving for variable 'x'.

Reorder the terms:
225 + 36 + -30x + x2 = -36 + 36

Combine like terms: 225 + 36 = 261
261 + -30x + x2 = -36 + 36

Combine like terms: -36 + 36 = 0
261 + -30x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-261' to each side of the equation.
261 + -30x + -261 + x2 = 0 + -261

Reorder the terms:
261 + -261 + -30x + x2 = 0 + -261

Combine like terms: 261 + -261 = 0
0 + -30x + x2 = 0 + -261
-30x + x2 = 0 + -261

Combine like terms: 0 + -261 = -261
-30x + x2 = -261

The x term is -30x.  Take half its coefficient (-15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
-30x + 225 + x2 = -261 + 225

Reorder the terms:
225 + -30x + x2 = -261 + 225

Combine like terms: -261 + 225 = -36
225 + -30x + x2 = -36

Factor a perfect square on the left side:
(x + -15)(x + -15) = -36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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