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Simplifying
4x2 + -21 = 18
Reorder the terms:
-21 + 4x2 = 18
Solving
-21 + 4x2 = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '21' to each side of the equation.
-21 + 21 + 4x2 = 18 + 21
Combine like terms: -21 + 21 = 0
0 + 4x2 = 18 + 21
4x2 = 18 + 21
Combine like terms: 18 + 21 = 39
4x2 = 39
Divide each side by '4'.
x2 = 9.75
Simplifying
x2 = 9.75
Take the square root of each side:
x = {-3.122498999, 3.122498999}
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