3x^2-64=2x^2

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Solution for 3x^2-64=2x^2 equation:


Simplifying
3x2 + -64 = 2x2

Reorder the terms:
-64 + 3x2 = 2x2

Solving
-64 + 3x2 = 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.
-64 + 3x2 + -2x2 = 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-64 + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-64 + 1x2 = 0

Add '64' to each side of the equation.
-64 + 64 + 1x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 1x2 = 0 + 64
1x2 = 0 + 64

Combine like terms: 0 + 64 = 64
1x2 = 64

Divide each side by '1'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}

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