3x^2-75=8

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Solution for 3x^2-75=8 equation:


Simplifying
3x2 + -75 = 8

Reorder the terms:
-75 + 3x2 = 8

Solving
-75 + 3x2 = 8

Solving for variable 'x'.

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

Add '75' to each side of the equation.
-75 + 75 + 3x2 = 8 + 75

Combine like terms: -75 + 75 = 0
0 + 3x2 = 8 + 75
3x2 = 8 + 75

Combine like terms: 8 + 75 = 83
3x2 = 83

Divide each side by '3'.
x2 = 27.66666667

Simplifying
x2 = 27.66666667

Take the square root of each side:
x = {-5.25991128, 5.25991128}

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