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Simplifying
3x2 + 7 = 40
Reorder the terms:
7 + 3x2 = 40
Solving
7 + 3x2 = 40
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 = 40 + -7
Combine like terms: 7 + -7 = 0
0 + 3x2 = 40 + -7
3x2 = 40 + -7
Combine like terms: 40 + -7 = 33
3x2 = 33
Divide each side by '3'.
x2 = 11
Simplifying
x2 = 11
Take the square root of each side:
x = {-3.31662479, 3.31662479}
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