5=3x^2-5

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Solution for 5=3x^2-5 equation:


Simplifying
5 = 3x2 + -5

Reorder the terms:
5 = -5 + 3x2

Solving
5 = -5 + 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.
5 + -3x2 = -5 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + -3x2 = -5 + 0
5 + -3x2 = -5

Add '-5' to each side of the equation.
5 + -5 + -3x2 = -5 + -5

Combine like terms: 5 + -5 = 0
0 + -3x2 = -5 + -5
-3x2 = -5 + -5

Combine like terms: -5 + -5 = -10
-3x2 = -10

Divide each side by '-3'.
x2 = 3.333333333

Simplifying
x2 = 3.333333333

Take the square root of each side:
x = {-1.825741858, 1.825741858}

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