(z+6)*(z+3)=

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Solution for (z+6)*(z+3)= equation:


Simplifying
(z + 6)(z + 3) = 0

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

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

Multiply (6 + z) * (3 + z)
(6(3 + z) + z(3 + z)) = 0
((3 * 6 + z * 6) + z(3 + z)) = 0
((18 + 6z) + z(3 + z)) = 0
(18 + 6z + (3 * z + z * z)) = 0
(18 + 6z + (3z + z2)) = 0

Combine like terms: 6z + 3z = 9z
(18 + 9z + z2) = 0

Solving
18 + 9z + z2 = 0

Solving for variable 'z'.

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

Subproblem 1

Set the factor '(6 + z)' equal to zero and attempt to solve: Simplifying 6 + z = 0 Solving 6 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + z = 0 + -6 z = 0 + -6 Combine like terms: 0 + -6 = -6 z = -6 Simplifying z = -6

Subproblem 2

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

Solution

z = {-6, -3}

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