(30-2x)(30-2x)=-x

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Solution for (30-2x)(30-2x)=-x equation: 


Simplifying
(30 + -2x)(30 + -2x) = -1x

Multiply (30 + -2x) * (30 + -2x)
(30(30 + -2x) + -2x * (30 + -2x)) = -1x
((30 * 30 + -2x * 30) + -2x * (30 + -2x)) = -1x
((900 + -60x) + -2x * (30 + -2x)) = -1x
(900 + -60x + (30 * -2x + -2x * -2x)) = -1x
(900 + -60x + (-60x + 4x2)) = -1x

Combine like terms: -60x + -60x = -120x
(900 + -120x + 4x2) = -1x

Solving
900 + -120x + 4x2 = -1x

Solving for variable 'x'.

Reorder the terms:
900 + -120x + x + 4x2 = -1x + x

Combine like terms: -120x + x = -119x
900 + -119x + 4x2 = -1x + x

Combine like terms: -1x + x = 0
900 + -119x + 4x2 = 0

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

Divide each side by '4'.
225 + -29.75x + x2 = 0

Move the constant term to the right:

Add '-225' to each side of the equation.
225 + -29.75x + -225 + x2 = 0 + -225

Reorder the terms:
225 + -225 + -29.75x + x2 = 0 + -225

Combine like terms: 225 + -225 = 0
0 + -29.75x + x2 = 0 + -225
-29.75x + x2 = 0 + -225

Combine like terms: 0 + -225 = -225
-29.75x + x2 = -225

The x term is -29.75x.  Take half its coefficient (-14.875).
Square it (221.265625) and add it to both sides.

Add '221.265625' to each side of the equation.
-29.75x + 221.265625 + x2 = -225 + 221.265625

Reorder the terms:
221.265625 + -29.75x + x2 = -225 + 221.265625

Combine like terms: -225 + 221.265625 = -3.734375
221.265625 + -29.75x + x2 = -3.734375

Factor a perfect square on the left side:
(x + -14.875)(x + -14.875) = -3.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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