(z+11)(z-4)=0

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Solution for (z+11)(z-4)=0 equation:


Simplifying
(z + 11)(z + -4) = 0

Reorder the terms:
(11 + z)(z + -4) = 0

Reorder the terms:
(11 + z)(-4 + z) = 0

Multiply (11 + z) * (-4 + z)
(11(-4 + z) + z(-4 + z)) = 0
((-4 * 11 + z * 11) + z(-4 + z)) = 0
((-44 + 11z) + z(-4 + z)) = 0
(-44 + 11z + (-4 * z + z * z)) = 0
(-44 + 11z + (-4z + z2)) = 0

Combine like terms: 11z + -4z = 7z
(-44 + 7z + z2) = 0

Solving
-44 + 7z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-11 + -1z)(4 + -1z) = 0

Subproblem 1

Set the factor '(-11 + -1z)' equal to zero and attempt to solve: Simplifying -11 + -1z = 0 Solving -11 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1z = 0 + 11 -1z = 0 + 11 Combine like terms: 0 + 11 = 11 -1z = 11 Divide each side by '-1'. z = -11 Simplifying z = -11

Subproblem 2

Set the factor '(4 + -1z)' equal to zero and attempt to solve: Simplifying 4 + -1z = 0 Solving 4 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 0 + -4 -1z = 0 + -4 Combine like terms: 0 + -4 = -4 -1z = -4 Divide each side by '-1'. z = 4 Simplifying z = 4

Solution

z = {-11, 4}

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