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Simplifying
4x2 + -31 = 49
Reorder the terms:
-31 + 4x2 = 49
Solving
-31 + 4x2 = 49
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '31' to each side of the equation.
-31 + 31 + 4x2 = 49 + 31
Combine like terms: -31 + 31 = 0
0 + 4x2 = 49 + 31
4x2 = 49 + 31
Combine like terms: 49 + 31 = 80
4x2 = 80
Divide each side by '4'.
x2 = 20
Simplifying
x2 = 20
Take the square root of each side:
x = {-4.472135955, 4.472135955}
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