4x^2+24=104-x^2

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Solution for 4x^2+24=104-x^2 equation: 


Simplifying
4x2 + 24 = 104 + -1x2

Reorder the terms:
24 + 4x2 = 104 + -1x2

Solving
24 + 4x2 = 104 + -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.
24 + 4x2 + x2 = 104 + -1x2 + x2

Combine like terms: 4x2 + x2 = 5x2
24 + 5x2 = 104 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
24 + 5x2 = 104 + 0
24 + 5x2 = 104

Add '-24' to each side of the equation.
24 + -24 + 5x2 = 104 + -24

Combine like terms: 24 + -24 = 0
0 + 5x2 = 104 + -24
5x2 = 104 + -24

Combine like terms: 104 + -24 = 80
5x2 = 80

Divide each side by '5'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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