(z+3)(z+2)=0

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Solution for (z+3)(z+2)=0 equation:


Simplifying
(z + 3)(z + 2) = 0

Reorder the terms:
(3 + z)(z + 2) = 0

Reorder the terms:
(3 + z)(2 + z) = 0

Multiply (3 + z) * (2 + z)
(3(2 + z) + z(2 + z)) = 0
((2 * 3 + z * 3) + z(2 + z)) = 0
((6 + 3z) + z(2 + z)) = 0
(6 + 3z + (2 * z + z * z)) = 0
(6 + 3z + (2z + z2)) = 0

Combine like terms: 3z + 2z = 5z
(6 + 5z + z2) = 0

Solving
6 + 5z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(3 + z)(2 + z) = 0

Subproblem 1

Set the factor '(3 + z)' equal to zero and attempt to solve: Simplifying 3 + z = 0 Solving 3 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + z = 0 + -3 z = 0 + -3 Combine like terms: 0 + -3 = -3 z = -3 Simplifying z = -3

Subproblem 2

Set the factor '(2 + z)' equal to zero and attempt to solve: Simplifying 2 + z = 0 Solving 2 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + z = 0 + -2 z = 0 + -2 Combine like terms: 0 + -2 = -2 z = -2 Simplifying z = -2

Solution

z = {-3, -2}

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