-0.5q^2+312.5=0

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Solution for -0.5q^2+312.5=0 equation: 


Simplifying
-0.5q2 + 312.5 = 0

Reorder the terms:
312.5 + -0.5q2 = 0

Solving
312.5 + -0.5q2 = 0

Solving for variable 'q'.

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

Add '-312.5' to each side of the equation.
312.5 + -312.5 + -0.5q2 = 0 + -312.5

Combine like terms: 312.5 + -312.5 = 0.0
0.0 + -0.5q2 = 0 + -312.5
-0.5q2 = 0 + -312.5

Combine like terms: 0 + -312.5 = -312.5
-0.5q2 = -312.5

Divide each side by '-0.5'.
q2 = 625

Simplifying
q2 = 625

Take the square root of each side:
q = {-25, 25}

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