3x^2-24x+144=-36

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Solution for 3x^2-24x+144=-36 equation: 


Simplifying
3x2 + -24x + 144 = -36

Reorder the terms:
144 + -24x + 3x2 = -36

Solving
144 + -24x + 3x2 = -36

Solving for variable 'x'.

Reorder the terms:
144 + 36 + -24x + 3x2 = -36 + 36

Combine like terms: 144 + 36 = 180
180 + -24x + 3x2 = -36 + 36

Combine like terms: -36 + 36 = 0
180 + -24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(60 + -8x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(60 + -8x + x2)' equal to zero and attempt to solve:

Simplifying
60 + -8x + x2 = 0

Solving
60 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -8x + -60 + x2 = 0 + -60

Reorder the terms:
60 + -60 + -8x + x2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -8x + x2 = 0 + -60
-8x + x2 = 0 + -60

Combine like terms: 0 + -60 = -60
-8x + x2 = -60

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -60 + 16

Reorder the terms:
16 + -8x + x2 = -60 + 16

Combine like terms: -60 + 16 = -44
16 + -8x + x2 = -44

Factor a perfect square on the left side:
(x + -4)(x + -4) = -44

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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