6x^2=35-x^2

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Solution for 6x^2=35-x^2 equation: 


Simplifying
6x2 = 35 + -1x2

Solving
6x2 = 35 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
6x2 + x2 = 35 + -1x2 + x2

Combine like terms: 6x2 + x2 = 7x2
7x2 = 35 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
7x2 = 35 + 0
7x2 = 35

Divide each side by '7'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

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