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Simplifying
12x2 + -32 + 15 = 0
Reorder the terms:
-32 + 15 + 12x2 = 0
Combine like terms: -32 + 15 = -17
-17 + 12x2 = 0
Solving
-17 + 12x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '17' to each side of the equation.
-17 + 17 + 12x2 = 0 + 17
Combine like terms: -17 + 17 = 0
0 + 12x2 = 0 + 17
12x2 = 0 + 17
Combine like terms: 0 + 17 = 17
12x2 = 17
Divide each side by '12'.
x2 = 1.416666667
Simplifying
x2 = 1.416666667
Take the square root of each side:
x = {-1.190238072, 1.190238072}
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