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Simplifying
(-2x + 12) + (-8x2 + 2x + -7) = 0
Reorder the terms:
(12 + -2x) + (-8x2 + 2x + -7) = 0
Remove parenthesis around (12 + -2x)
12 + -2x + (-8x2 + 2x + -7) = 0
Reorder the terms:
12 + -2x + (-7 + 2x + -8x2) = 0
Remove parenthesis around (-7 + 2x + -8x2)
12 + -2x + -7 + 2x + -8x2 = 0
Reorder the terms:
12 + -7 + -2x + 2x + -8x2 = 0
Combine like terms: 12 + -7 = 5
5 + -2x + 2x + -8x2 = 0
Combine like terms: -2x + 2x = 0
5 + 0 + -8x2 = 0
5 + -8x2 = 0
Solving
5 + -8x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -8x2 = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -8x2 = 0 + -5
-8x2 = 0 + -5
Combine like terms: 0 + -5 = -5
-8x2 = -5
Divide each side by '-8'.
x2 = 0.625
Simplifying
x2 = 0.625
Take the square root of each side:
x = {-0.790569415, 0.790569415}
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