500=166.5x^2-475.5

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Solution for 500=166.5x^2-475.5 equation:


Simplifying
500 = 166.5x2 + -475.5

Reorder the terms:
500 = -475.5 + 166.5x2

Solving
500 = -475.5 + 166.5x2

Solving for variable 'x'.

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

Add '-166.5x2' to each side of the equation.
500 + -166.5x2 = -475.5 + 166.5x2 + -166.5x2

Combine like terms: 166.5x2 + -166.5x2 = 0.0
500 + -166.5x2 = -475.5 + 0.0
500 + -166.5x2 = -475.5

Add '-500' to each side of the equation.
500 + -500 + -166.5x2 = -475.5 + -500

Combine like terms: 500 + -500 = 0
0 + -166.5x2 = -475.5 + -500
-166.5x2 = -475.5 + -500

Combine like terms: -475.5 + -500 = -975.5
-166.5x2 = -975.5

Divide each side by '-166.5'.
x2 = 5.858858859

Simplifying
x2 = 5.858858859

Take the square root of each side:
x = {-2.420507975, 2.420507975}

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