6x^2-500=-40

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Solution for 6x^2-500=-40 equation:


Simplifying
6x2 + -500 = -40

Reorder the terms:
-500 + 6x2 = -40

Solving
-500 + 6x2 = -40

Solving for variable 'x'.

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

Add '500' to each side of the equation.
-500 + 500 + 6x2 = -40 + 500

Combine like terms: -500 + 500 = 0
0 + 6x2 = -40 + 500
6x2 = -40 + 500

Combine like terms: -40 + 500 = 460
6x2 = 460

Divide each side by '6'.
x2 = 76.66666667

Simplifying
x2 = 76.66666667

Take the square root of each side:
x = {-8.755950358, 8.755950358}

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