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Simplifying
11 + -3x2 + 4 = 7
Reorder the terms:
11 + 4 + -3x2 = 7
Combine like terms: 11 + 4 = 15
15 + -3x2 = 7
Solving
15 + -3x2 = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -3x2 = 7 + -15
Combine like terms: 15 + -15 = 0
0 + -3x2 = 7 + -15
-3x2 = 7 + -15
Combine like terms: 7 + -15 = -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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