.5x^2-12=21

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Solution for .5x^2-12=21 equation:


Simplifying
0.5x2 + -12 = 21

Reorder the terms:
-12 + 0.5x2 = 21

Solving
-12 + 0.5x2 = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + 0.5x2 = 21 + 12

Combine like terms: -12 + 12 = 0
0 + 0.5x2 = 21 + 12
0.5x2 = 21 + 12

Combine like terms: 21 + 12 = 33
0.5x2 = 33

Divide each side by '0.5'.
x2 = 66

Simplifying
x2 = 66

Take the square root of each side:
x = {-8.124038405, 8.124038405}

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