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Simplifying 13z + -63 = -6z2 Reorder the terms: -63 + 13z = -6z2 Solving -63 + 13z = -6z2 Solving for variable 'z'. Combine like terms: -6z2 + 6z2 = 0 -63 + 13z + 6z2 = 0 Factor a trinomial. (-9 + -2z)(7 + -3z) = 0Subproblem 1
Set the factor '(-9 + -2z)' equal to zero and attempt to solve: Simplifying -9 + -2z = 0 Solving -9 + -2z = 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 + -2z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2z = 0 + 9 -2z = 0 + 9 Combine like terms: 0 + 9 = 9 -2z = 9 Divide each side by '-2'. z = -4.5 Simplifying z = -4.5Subproblem 2
Set the factor '(7 + -3z)' equal to zero and attempt to solve: Simplifying 7 + -3z = 0 Solving 7 + -3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3z = 0 + -7 -3z = 0 + -7 Combine like terms: 0 + -7 = -7 -3z = -7 Divide each side by '-3'. z = 2.333333333 Simplifying z = 2.333333333Solution
z = {-4.5, 2.333333333}
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