4x^2-20=2x^2-2

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Solution for 4x^2-20=2x^2-2 equation:


Simplifying
4x2 + -20 = 2x2 + -2

Reorder the terms:
-20 + 4x2 = 2x2 + -2

Reorder the terms:
-20 + 4x2 = -2 + 2x2

Solving
-20 + 4x2 = -2 + 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.
-20 + 4x2 + -2x2 = -2 + 2x2 + -2x2

Combine like terms: 4x2 + -2x2 = 2x2
-20 + 2x2 = -2 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-20 + 2x2 = -2 + 0
-20 + 2x2 = -2

Add '20' to each side of the equation.
-20 + 20 + 2x2 = -2 + 20

Combine like terms: -20 + 20 = 0
0 + 2x2 = -2 + 20
2x2 = -2 + 20

Combine like terms: -2 + 20 = 18
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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