.5x^2-5=13

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Solution for .5x^2-5=13 equation:


Simplifying
0.5x2 + -5 = 13

Reorder the terms:
-5 + 0.5x2 = 13

Solving
-5 + 0.5x2 = 13

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 0.5x2 = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 0.5x2 = 13 + 5
0.5x2 = 13 + 5

Combine like terms: 13 + 5 = 18
0.5x2 = 18

Divide each side by '0.5'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

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