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Simplifying 15z2 + -14z + -49 = 0 Reorder the terms: -49 + -14z + 15z2 = 0 Solving -49 + -14z + 15z2 = 0 Solving for variable 'z'. Factor a trinomial. (-7 + -5z)(7 + -3z) = 0Subproblem 1
Set the factor '(-7 + -5z)' equal to zero and attempt to solve: Simplifying -7 + -5z = 0 Solving -7 + -5z = 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 + -5z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5z = 0 + 7 -5z = 0 + 7 Combine like terms: 0 + 7 = 7 -5z = 7 Divide each side by '-5'. z = -1.4 Simplifying z = -1.4Subproblem 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 = {-1.4, 2.333333333}
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