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Simplifying
11 = 3x2 + 3
Reorder the terms:
11 = 3 + 3x2
Solving
11 = 3 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
11 + -3x2 = 3 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
11 + -3x2 = 3 + 0
11 + -3x2 = 3
Add '-11' to each side of the equation.
11 + -11 + -3x2 = 3 + -11
Combine like terms: 11 + -11 = 0
0 + -3x2 = 3 + -11
-3x2 = 3 + -11
Combine like terms: 3 + -11 = -8
-3x2 = -8
Divide each side by '-3'.
x2 = 2.666666667
Simplifying
x2 = 2.666666667
Take the square root of each side:
x = {-1.632993162, 1.632993162}
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