=-3(x^2+144)+2(x+12)

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Solution for =-3(x^2+144)+2(x+12) equation: 


Simplifying
0 = -3(x2 + 144) + 2(x + 12)

Reorder the terms:
0 = -3(144 + x2) + 2(x + 12)
0 = (144 * -3 + x2 * -3) + 2(x + 12)
0 = (-432 + -3x2) + 2(x + 12)

Reorder the terms:
0 = -432 + -3x2 + 2(12 + x)
0 = -432 + -3x2 + (12 * 2 + x * 2)
0 = -432 + -3x2 + (24 + 2x)

Reorder the terms:
0 = -432 + 24 + 2x + -3x2

Combine like terms: -432 + 24 = -408
0 = -408 + 2x + -3x2

Solving
0 = -408 + 2x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + 408 = 408
408 + -2x + 3x2 = -408 + 2x + -3x2 + 408 + -2x + 3x2

Reorder the terms:
408 + -2x + 3x2 = -408 + 408 + 2x + -2x + -3x2 + 3x2

Combine like terms: -408 + 408 = 0
408 + -2x + 3x2 = 0 + 2x + -2x + -3x2 + 3x2
408 + -2x + 3x2 = 2x + -2x + -3x2 + 3x2

Combine like terms: 2x + -2x = 0
408 + -2x + 3x2 = 0 + -3x2 + 3x2
408 + -2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
408 + -2x + 3x2 = 0

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

Divide each side by '3'.
136 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-136' to each side of the equation.
136 + -0.6666666667x + -136 + x2 = 0 + -136

Reorder the terms:
136 + -136 + -0.6666666667x + x2 = 0 + -136

Combine like terms: 136 + -136 = 0
0 + -0.6666666667x + x2 = 0 + -136
-0.6666666667x + x2 = 0 + -136

Combine like terms: 0 + -136 = -136
-0.6666666667x + x2 = -136

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -136 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -136 + 0.1111111112

Combine like terms: -136 + 0.1111111112 = -135.8888888888
0.1111111112 + -0.6666666667x + x2 = -135.8888888888

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -135.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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