(X+2)(x^2+x)=

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Solution for (X+2)(x^2+x)= equation:


Simplifying
(X + 2)(x2 + x) = 0

Reorder the terms:
(2 + X)(x2 + x) = 0

Reorder the terms:
(2 + X)(x + x2) = 0

Multiply (2 + X) * (x + x2)
(2(x + x2) + X(x + x2)) = 0
((x * 2 + x2 * 2) + X(x + x2)) = 0
((2x + 2x2) + X(x + x2)) = 0
(2x + 2x2 + (x * X + x2 * X)) = 0
(2x + 2x2 + (xX + x2X)) = 0

Reorder the terms:
(2x + xX + 2x2 + x2X) = 0
(2x + xX + 2x2 + x2X) = 0

Solving
2x + xX + 2x2 + x2X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + X + 2x + xX) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(2 + X + 2x + xX)' equal to zero and attempt to solve: Simplifying 2 + X + 2x + xX = 0 Solving 2 + X + 2x + xX = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + X + 2x + -2 + xX = 0 + -2 Reorder the terms: 2 + -2 + X + 2x + xX = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X + 2x + xX = 0 + -2 X + 2x + xX = 0 + -2 Combine like terms: 0 + -2 = -2 X + 2x + xX = -2 Add '-1X' to each side of the equation. X + 2x + -1X + xX = -2 + -1X Reorder the terms: X + -1X + 2x + xX = -2 + -1X Combine like terms: X + -1X = 0 0 + 2x + xX = -2 + -1X 2x + xX = -2 + -1X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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