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Simplifying
32x2 + 0x + -8 = 0
Anything times zero is zero.
32x2 + 0x + -8 = 0
Reorder the terms:
0 + -8 + 32x2 = 0
Combine like terms: 0 + -8 = -8
-8 + 32x2 = 0
Solving
-8 + 32x2 = 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 + 32x2 = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 32x2 = 0 + 8
32x2 = 0 + 8
Combine like terms: 0 + 8 = 8
32x2 = 8
Divide each side by '32'.
x2 = 0.25
Simplifying
x2 = 0.25
Take the square root of each side:
x = {-0.5, 0.5}
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