3x^2-4=28+x^2

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Solution for 3x^2-4=28+x^2 equation:


Simplifying
3x2 + -4 = 28 + x2

Reorder the terms:
-4 + 3x2 = 28 + x2

Solving
-4 + 3x2 = 28 + 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.
-4 + 3x2 + -1x2 = 28 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-4 + 2x2 = 28 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + 2x2 = 28 + 0
-4 + 2x2 = 28

Add '4' to each side of the equation.
-4 + 4 + 2x2 = 28 + 4

Combine like terms: -4 + 4 = 0
0 + 2x2 = 28 + 4
2x2 = 28 + 4

Combine like terms: 28 + 4 = 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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