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Simplifying -1(35z2) + 44z + 7 = 0 Remove parenthesis around (35z2) -1 * 35z2 + 44z + 7 = 0 Multiply -1 * 35 -35z2 + 44z + 7 = 0 Reorder the terms: 7 + 44z + -35z2 = 0 Solving 7 + 44z + -35z2 = 0 Solving for variable 'z'. Factor a trinomial. (7 + -5z)(1 + 7z) = 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 '(1 + 7z)' equal to zero and attempt to solve: Simplifying 1 + 7z = 0 Solving 1 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7z = 0 + -1 7z = 0 + -1 Combine like terms: 0 + -1 = -1 7z = -1 Divide each side by '7'. z = -0.1428571429 Simplifying z = -0.1428571429Solution
z = {1.4, -0.1428571429}
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