x^2-8x+12=-8x+48-2x^2

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Solution for x^2-8x+12=-8x+48-2x^2 equation:


Simplifying
x2 + -8x + 12 = -8x + 48 + -2x2

Reorder the terms:
12 + -8x + x2 = -8x + 48 + -2x2

Reorder the terms:
12 + -8x + x2 = 48 + -8x + -2x2

Add '8x' to each side of the equation.
12 + -8x + 8x + x2 = 48 + -8x + 8x + -2x2

Combine like terms: -8x + 8x = 0
12 + 0 + x2 = 48 + -8x + 8x + -2x2
12 + x2 = 48 + -8x + 8x + -2x2

Combine like terms: -8x + 8x = 0
12 + x2 = 48 + 0 + -2x2
12 + x2 = 48 + -2x2

Solving
12 + x2 = 48 + -2x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x2' to each side of the equation.
12 + x2 + 2x2 = 48 + -2x2 + 2x2

Combine like terms: x2 + 2x2 = 3x2
12 + 3x2 = 48 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
12 + 3x2 = 48 + 0
12 + 3x2 = 48

Add '-12' to each side of the equation.
12 + -12 + 3x2 = 48 + -12

Combine like terms: 12 + -12 = 0
0 + 3x2 = 48 + -12
3x2 = 48 + -12

Combine like terms: 48 + -12 = 36
3x2 = 36

Divide each side by '3'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}

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