3x^2=144-x^2

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Solution for 3x^2=144-x^2 equation:


Simplifying
3x2 = 144 + -1x2

Solving
3x2 = 144 + -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.
3x2 + x2 = 144 + -1x2 + x2

Combine like terms: 3x2 + x2 = 4x2
4x2 = 144 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
4x2 = 144 + 0
4x2 = 144

Divide each side by '4'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

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