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Simplifying (z2 + 7) + -4(2 + z) = 44 Reorder the terms: (7 + z2) + -4(2 + z) = 44 Remove parenthesis around (7 + z2) 7 + z2 + -4(2 + z) = 44 7 + z2 + (2 * -4 + z * -4) = 44 7 + z2 + (-8 + -4z) = 44 Reorder the terms: 7 + -8 + -4z + z2 = 44 Combine like terms: 7 + -8 = -1 -1 + -4z + z2 = 44 Solving -1 + -4z + z2 = 44 Solving for variable 'z'. Reorder the terms: -1 + -44 + -4z + z2 = 44 + -44 Combine like terms: -1 + -44 = -45 -45 + -4z + z2 = 44 + -44 Combine like terms: 44 + -44 = 0 -45 + -4z + z2 = 0 Factor a trinomial. (-5 + -1z)(9 + -1z) = 0Subproblem 1
Set the factor '(-5 + -1z)' equal to zero and attempt to solve: Simplifying -5 + -1z = 0 Solving -5 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1z = 0 + 5 -1z = 0 + 5 Combine like terms: 0 + 5 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5Subproblem 2
Set the factor '(9 + -1z)' equal to zero and attempt to solve: Simplifying 9 + -1z = 0 Solving 9 + -1z = 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 + -1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 0 + -9 -1z = 0 + -9 Combine like terms: 0 + -9 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9Solution
z = {-5, 9}
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