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Simplifying 5z2 + -19z = 30 Reorder the terms: -19z + 5z2 = 30 Solving -19z + 5z2 = 30 Solving for variable 'z'. Reorder the terms: -30 + -19z + 5z2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -19z + 5z2 = 0 Factor a trinomial. (-6 + -5z)(5 + -1z) = 0Subproblem 1
Set the factor '(-6 + -5z)' equal to zero and attempt to solve: Simplifying -6 + -5z = 0 Solving -6 + -5z = 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 + -5z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5z = 0 + 6 -5z = 0 + 6 Combine like terms: 0 + 6 = 6 -5z = 6 Divide each side by '-5'. z = -1.2 Simplifying z = -1.2Subproblem 2
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 = 5Solution
z = {-1.2, 5}
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