3x^2-48=x^2-16

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Solution for 3x^2-48=x^2-16 equation: 


Simplifying
3x2 + -48 = x2 + -16

Reorder the terms:
-48 + 3x2 = x2 + -16

Reorder the terms:
-48 + 3x2 = -16 + x2

Solving
-48 + 3x2 = -16 + 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.
-48 + 3x2 + -1x2 = -16 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-48 + 2x2 = -16 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-48 + 2x2 = -16 + 0
-48 + 2x2 = -16

Add '48' to each side of the equation.
-48 + 48 + 2x2 = -16 + 48

Combine like terms: -48 + 48 = 0
0 + 2x2 = -16 + 48
2x2 = -16 + 48

Combine like terms: -16 + 48 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

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

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