x^2-8+16=3x-12

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Solution for x^2-8+16=3x-12 equation:


Simplifying
x2 + -8 + 16 = 3x + -12

Reorder the terms:
-8 + 16 + x2 = 3x + -12

Combine like terms: -8 + 16 = 8
8 + x2 = 3x + -12

Reorder the terms:
8 + x2 = -12 + 3x

Solving
8 + x2 = -12 + 3x

Solving for variable 'x'.

Reorder the terms:
8 + 12 + -3x + x2 = -12 + 3x + 12 + -3x

Combine like terms: 8 + 12 = 20
20 + -3x + x2 = -12 + 3x + 12 + -3x

Reorder the terms:
20 + -3x + x2 = -12 + 12 + 3x + -3x

Combine like terms: -12 + 12 = 0
20 + -3x + x2 = 0 + 3x + -3x
20 + -3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -3x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -3x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -3x + x2 = 0 + -20
-3x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-3x + x2 = -20

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -20 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -20 + 2.25

Combine like terms: -20 + 2.25 = -17.75
2.25 + -3x + x2 = -17.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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