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Simplifying
4x2 + -11 = 47
Reorder the terms:
-11 + 4x2 = 47
Solving
-11 + 4x2 = 47
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 4x2 = 47 + 11
Combine like terms: -11 + 11 = 0
0 + 4x2 = 47 + 11
4x2 = 47 + 11
Combine like terms: 47 + 11 = 58
4x2 = 58
Divide each side by '4'.
x2 = 14.5
Simplifying
x2 = 14.5
Take the square root of each side:
x = {-3.807886553, 3.807886553}
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