4x^2-24=2x^2-16

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Solution for 4x^2-24=2x^2-16 equation: 


Simplifying
4x2 + -24 = 2x2 + -16

Reorder the terms:
-24 + 4x2 = 2x2 + -16

Reorder the terms:
-24 + 4x2 = -16 + 2x2

Solving
-24 + 4x2 = -16 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-24 + 4x2 + -2x2 = -16 + 2x2 + -2x2

Combine like terms: 4x2 + -2x2 = 2x2
-24 + 2x2 = -16 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-24 + 2x2 = -16 + 0
-24 + 2x2 = -16

Add '24' to each side of the equation.
-24 + 24 + 2x2 = -16 + 24

Combine like terms: -24 + 24 = 0
0 + 2x2 = -16 + 24
2x2 = -16 + 24

Combine like terms: -16 + 24 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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