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Simplifying
-12 = 8x2 + -13.5
Reorder the terms:
-12 = -13.5 + 8x2
Solving
-12 = -13.5 + 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.
-12 + -8x2 = -13.5 + 8x2 + -8x2
Combine like terms: 8x2 + -8x2 = 0
-12 + -8x2 = -13.5 + 0
-12 + -8x2 = -13.5
Add '12' to each side of the equation.
-12 + 12 + -8x2 = -13.5 + 12
Combine like terms: -12 + 12 = 0
0 + -8x2 = -13.5 + 12
-8x2 = -13.5 + 12
Combine like terms: -13.5 + 12 = -1.5
-8x2 = -1.5
Divide each side by '-8'.
x2 = 0.1875
Simplifying
x2 = 0.1875
Take the square root of each side:
x = {-0.433012702, 0.433012702}
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