x^2=100-3x^2

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Solution for x^2=100-3x^2 equation: 


Simplifying
x2 = 100 + -3x2

Solving
x2 = 100 + -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.
x2 + 3x2 = 100 + -3x2 + 3x2

Combine like terms: x2 + 3x2 = 4x2
4x2 = 100 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
4x2 = 100 + 0
4x2 = 100

Divide each side by '4'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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