12-x^2=62-3x^2

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Solution for 12-x^2=62-3x^2 equation:


Simplifying
12 + -1x2 = 62 + -3x2

Solving
12 + -1x2 = 62 + -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.
12 + -1x2 + 3x2 = 62 + -3x2 + 3x2

Combine like terms: -1x2 + 3x2 = 2x2
12 + 2x2 = 62 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
12 + 2x2 = 62 + 0
12 + 2x2 = 62

Add '-12' to each side of the equation.
12 + -12 + 2x2 = 62 + -12

Combine like terms: 12 + -12 = 0
0 + 2x2 = 62 + -12
2x2 = 62 + -12

Combine like terms: 62 + -12 = 50
2x2 = 50

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

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

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