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Simplifying
3x2 + -2 = 2(x2 + 3)
Reorder the terms:
-2 + 3x2 = 2(x2 + 3)
Reorder the terms:
-2 + 3x2 = 2(3 + x2)
-2 + 3x2 = (3 * 2 + x2 * 2)
-2 + 3x2 = (6 + 2x2)
Solving
-2 + 3x2 = 6 + 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.
-2 + 3x2 + -2x2 = 6 + 2x2 + -2x2
Combine like terms: 3x2 + -2x2 = 1x2
-2 + 1x2 = 6 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
-2 + 1x2 = 6 + 0
-2 + 1x2 = 6
Add '2' to each side of the equation.
-2 + 2 + 1x2 = 6 + 2
Combine like terms: -2 + 2 = 0
0 + 1x2 = 6 + 2
1x2 = 6 + 2
Combine like terms: 6 + 2 = 8
1x2 = 8
Divide each side by '1'.
x2 = 8
Simplifying
x2 = 8
Take the square root of each side:
x = {-2.828427125, 2.828427125}
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