x^2=42-x^2

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Solution for x^2=42-x^2 equation:


Simplifying
x2 = 42 + -1x2

Solving
x2 = 42 + -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.
x2 + x2 = 42 + -1x2 + x2

Combine like terms: x2 + x2 = 2x2
2x2 = 42 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2x2 = 42 + 0
2x2 = 42

Divide each side by '2'.
x2 = 21

Simplifying
x2 = 21

Take the square root of each side:
x = {-4.582575695, 4.582575695}

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