3x^2-24x+144=8

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Solution for 3x^2-24x+144=8 equation:


Simplifying
3x2 + -24x + 144 = 8

Reorder the terms:
144 + -24x + 3x2 = 8

Solving
144 + -24x + 3x2 = 8

Solving for variable 'x'.

Reorder the terms:
144 + -8 + -24x + 3x2 = 8 + -8

Combine like terms: 144 + -8 = 136
136 + -24x + 3x2 = 8 + -8

Combine like terms: 8 + -8 = 0
136 + -24x + 3x2 = 0

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

Divide each side by '3'.
45.33333333 + -8x + x2 = 0

Move the constant term to the right:

Add '-45.33333333' to each side of the equation.
45.33333333 + -8x + -45.33333333 + x2 = 0 + -45.33333333

Reorder the terms:
45.33333333 + -45.33333333 + -8x + x2 = 0 + -45.33333333

Combine like terms: 45.33333333 + -45.33333333 = 0.00000000
0.00000000 + -8x + x2 = 0 + -45.33333333
-8x + x2 = 0 + -45.33333333

Combine like terms: 0 + -45.33333333 = -45.33333333
-8x + x2 = -45.33333333

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 = -45.33333333 + 16

Reorder the terms:
16 + -8x + x2 = -45.33333333 + 16

Combine like terms: -45.33333333 + 16 = -29.33333333
16 + -8x + x2 = -29.33333333

Factor a perfect square on the left side:
(x + -4)(x + -4) = -29.33333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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