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Simplifying
x(3x + 2) + -1(2x + 4) = 0
Reorder the terms:
x(2 + 3x) + -1(2x + 4) = 0
(2 * x + 3x * x) + -1(2x + 4) = 0
(2x + 3x2) + -1(2x + 4) = 0
Reorder the terms:
2x + 3x2 + -1(4 + 2x) = 0
2x + 3x2 + (4 * -1 + 2x * -1) = 0
2x + 3x2 + (-4 + -2x) = 0
Reorder the terms:
-4 + 2x + -2x + 3x2 = 0
Combine like terms: 2x + -2x = 0
-4 + 0 + 3x2 = 0
-4 + 3x2 = 0
Solving
-4 + 3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 3x2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 3x2 = 0 + 4
3x2 = 0 + 4
Combine like terms: 0 + 4 = 4
3x2 = 4
Divide each side by '3'.
x2 = 1.333333333
Simplifying
x2 = 1.333333333
Take the square root of each side:
x = {-1.154700538, 1.154700538}
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