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Simplifying
(x + -3)(x + 1) + 2x = 0
Reorder the terms:
(-3 + x)(x + 1) + 2x = 0
Reorder the terms:
(-3 + x)(1 + x) + 2x = 0
Multiply (-3 + x) * (1 + x)
(-3(1 + x) + x(1 + x)) + 2x = 0
((1 * -3 + x * -3) + x(1 + x)) + 2x = 0
((-3 + -3x) + x(1 + x)) + 2x = 0
(-3 + -3x + (1 * x + x * x)) + 2x = 0
(-3 + -3x + (1x + x2)) + 2x = 0
Combine like terms: -3x + 1x = -2x
(-3 + -2x + x2) + 2x = 0
Reorder the terms:
-3 + -2x + 2x + x2 = 0
Combine like terms: -2x + 2x = 0
-3 + 0 + x2 = 0
-3 + x2 = 0
Solving
-3 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + x2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + x2 = 0 + 3
x2 = 0 + 3
Combine like terms: 0 + 3 = 3
x2 = 3
Simplifying
x2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}
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