2x^2-24x+288=72

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Solution for 2x^2-24x+288=72 equation: 


Simplifying
2x2 + -24x + 288 = 72

Reorder the terms:
288 + -24x + 2x2 = 72

Solving
288 + -24x + 2x2 = 72

Solving for variable 'x'.

Reorder the terms:
288 + -72 + -24x + 2x2 = 72 + -72

Combine like terms: 288 + -72 = 216
216 + -24x + 2x2 = 72 + -72

Combine like terms: 72 + -72 = 0
216 + -24x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(108 + -12x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(108 + -12x + x2)' equal to zero and attempt to solve:

Simplifying
108 + -12x + x2 = 0

Solving
108 + -12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-108' to each side of the equation.
108 + -12x + -108 + x2 = 0 + -108

Reorder the terms:
108 + -108 + -12x + x2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + -12x + x2 = 0 + -108
-12x + x2 = 0 + -108

Combine like terms: 0 + -108 = -108
-12x + x2 = -108

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -108 + 36

Reorder the terms:
36 + -12x + x2 = -108 + 36

Combine like terms: -108 + 36 = -72
36 + -12x + x2 = -72

Factor a perfect square on the left side:
(x + -6)(x + -6) = -72

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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