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Simplifying
-8x2 + 7 + 8 = 0
Reorder the terms:
7 + 8 + -8x2 = 0
Combine like terms: 7 + 8 = 15
15 + -8x2 = 0
Solving
15 + -8x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -8x2 = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -8x2 = 0 + -15
-8x2 = 0 + -15
Combine like terms: 0 + -15 = -15
-8x2 = -15
Divide each side by '-8'.
x2 = 1.875
Simplifying
x2 = 1.875
Take the square root of each side:
x = {-1.369306394, 1.369306394}
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