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Simplifying
(11x2 + -3x + 4) + (x2 + 3x + -9) = 0
Reorder the terms:
(4 + -3x + 11x2) + (x2 + 3x + -9) = 0
Remove parenthesis around (4 + -3x + 11x2)
4 + -3x + 11x2 + (x2 + 3x + -9) = 0
Reorder the terms:
4 + -3x + 11x2 + (-9 + 3x + x2) = 0
Remove parenthesis around (-9 + 3x + x2)
4 + -3x + 11x2 + -9 + 3x + x2 = 0
Reorder the terms:
4 + -9 + -3x + 3x + 11x2 + x2 = 0
Combine like terms: 4 + -9 = -5
-5 + -3x + 3x + 11x2 + x2 = 0
Combine like terms: -3x + 3x = 0
-5 + 0 + 11x2 + x2 = 0
-5 + 11x2 + x2 = 0
Combine like terms: 11x2 + x2 = 12x2
-5 + 12x2 = 0
Solving
-5 + 12x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 12x2 = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 12x2 = 0 + 5
12x2 = 0 + 5
Combine like terms: 0 + 5 = 5
12x2 = 5
Divide each side by '12'.
x2 = 0.4166666667
Simplifying
x2 = 0.4166666667
Take the square root of each side:
x = {-0.645497224, 0.645497224}
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