3=8-3x^2

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


Simplifying
3 = 8 + -3x2

Solving
3 = 8 + -3x2

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: 8 + -3 = 5
3x2 = 5

Divide each side by '3'.
x2 = 1.666666667

Simplifying
x2 = 1.666666667

Take the square root of each side:
x = {-1.290994449, 1.290994449}

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