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Simplifying
4x2 + -9 = 41
Reorder the terms:
-9 + 4x2 = 41
Solving
-9 + 4x2 = 41
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4x2 = 41 + 9
Combine like terms: -9 + 9 = 0
0 + 4x2 = 41 + 9
4x2 = 41 + 9
Combine like terms: 41 + 9 = 50
4x2 = 50
Divide each side by '4'.
x2 = 12.5
Simplifying
x2 = 12.5
Take the square root of each side:
x = {-3.535533906, 3.535533906}
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