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Simplifying
3x2 + -177 = 15
Reorder the terms:
-177 + 3x2 = 15
Solving
-177 + 3x2 = 15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '177' to each side of the equation.
-177 + 177 + 3x2 = 15 + 177
Combine like terms: -177 + 177 = 0
0 + 3x2 = 15 + 177
3x2 = 15 + 177
Combine like terms: 15 + 177 = 192
3x2 = 192
Divide each side by '3'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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