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Simplifying
-8x2 + 0x + 8 = 0
Anything times zero is zero.
-8x2 + 0x + 8 = 0
Reorder the terms:
0 + 8 + -8x2 = 0
Combine like terms: 0 + 8 = 8
8 + -8x2 = 0
Solving
8 + -8x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -8x2 = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -8x2 = 0 + -8
-8x2 = 0 + -8
Combine like terms: 0 + -8 = -8
-8x2 = -8
Divide each side by '-8'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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