3x^2+5=x^2+55

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Solution for 3x^2+5=x^2+55 equation: 


Simplifying
3x2 + 5 = x2 + 55

Reorder the terms:
5 + 3x2 = x2 + 55

Reorder the terms:
5 + 3x2 = 55 + x2

Solving
5 + 3x2 = 55 + x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
5 + 3x2 + -1x2 = 55 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
5 + 2x2 = 55 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + 2x2 = 55 + 0
5 + 2x2 = 55

Add '-5' to each side of the equation.
5 + -5 + 2x2 = 55 + -5

Combine like terms: 5 + -5 = 0
0 + 2x2 = 55 + -5
2x2 = 55 + -5

Combine like terms: 55 + -5 = 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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