3x^2+10=110-x^2

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Solution for 3x^2+10=110-x^2 equation:


Simplifying
3x2 + 10 = 110 + -1x2

Reorder the terms:
10 + 3x2 = 110 + -1x2

Solving
10 + 3x2 = 110 + -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.
10 + 3x2 + x2 = 110 + -1x2 + x2

Combine like terms: 3x2 + x2 = 4x2
10 + 4x2 = 110 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
10 + 4x2 = 110 + 0
10 + 4x2 = 110

Add '-10' to each side of the equation.
10 + -10 + 4x2 = 110 + -10

Combine like terms: 10 + -10 = 0
0 + 4x2 = 110 + -10
4x2 = 110 + -10

Combine like terms: 110 + -10 = 100
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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