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Simplifying
3x2 + -7 = 61
Reorder the terms:
-7 + 3x2 = 61
Solving
-7 + 3x2 = 61
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 3x2 = 61 + 7
Combine like terms: -7 + 7 = 0
0 + 3x2 = 61 + 7
3x2 = 61 + 7
Combine like terms: 61 + 7 = 68
3x2 = 68
Divide each side by '3'.
x2 = 22.66666667
Simplifying
x2 = 22.66666667
Take the square root of each side:
x = {-4.760952286, 4.760952286}
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