(9+z)(5z+3)=0

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Solution for (9+z)(5z+3)=0 equation:


Simplifying
(9 + z)(5z + 3) = 0

Reorder the terms:
(9 + z)(3 + 5z) = 0

Multiply (9 + z) * (3 + 5z)
(9(3 + 5z) + z(3 + 5z)) = 0
((3 * 9 + 5z * 9) + z(3 + 5z)) = 0
((27 + 45z) + z(3 + 5z)) = 0
(27 + 45z + (3 * z + 5z * z)) = 0
(27 + 45z + (3z + 5z2)) = 0

Combine like terms: 45z + 3z = 48z
(27 + 48z + 5z2) = 0

Solving
27 + 48z + 5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(9 + z)(3 + 5z) = 0

Subproblem 1

Set the factor '(9 + z)' equal to zero and attempt to solve: Simplifying 9 + z = 0 Solving 9 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + z = 0 + -9 z = 0 + -9 Combine like terms: 0 + -9 = -9 z = -9 Simplifying z = -9

Subproblem 2

Set the factor '(3 + 5z)' equal to zero and attempt to solve: Simplifying 3 + 5z = 0 Solving 3 + 5z = 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 + 5z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = 0 + -3 5z = 0 + -3 Combine like terms: 0 + -3 = -3 5z = -3 Divide each side by '5'. z = -0.6 Simplifying z = -0.6

Solution

z = {-9, -0.6}

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