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Simplifying
6x2 + 8 = 8x2 + -8
Reorder the terms:
8 + 6x2 = 8x2 + -8
Reorder the terms:
8 + 6x2 = -8 + 8x2
Solving
8 + 6x2 = -8 + 8x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x2' to each side of the equation.
8 + 6x2 + -8x2 = -8 + 8x2 + -8x2
Combine like terms: 6x2 + -8x2 = -2x2
8 + -2x2 = -8 + 8x2 + -8x2
Combine like terms: 8x2 + -8x2 = 0
8 + -2x2 = -8 + 0
8 + -2x2 = -8
Add '-8' to each side of the equation.
8 + -8 + -2x2 = -8 + -8
Combine like terms: 8 + -8 = 0
0 + -2x2 = -8 + -8
-2x2 = -8 + -8
Combine like terms: -8 + -8 = -16
-2x2 = -16
Divide each side by '-2'.
x2 = 8
Simplifying
x2 = 8
Take the square root of each side:
x = {-2.828427125, 2.828427125}
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