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Simplifying (7z5 + 5)(6z5 + -9) = 0 Reorder the terms: (5 + 7z5)(6z5 + -9) = 0 Reorder the terms: (5 + 7z5)(-9 + 6z5) = 0 Multiply (5 + 7z5) * (-9 + 6z5) (5(-9 + 6z5) + 7z5 * (-9 + 6z5)) = 0 ((-9 * 5 + 6z5 * 5) + 7z5 * (-9 + 6z5)) = 0 ((-45 + 30z5) + 7z5 * (-9 + 6z5)) = 0 (-45 + 30z5 + (-9 * 7z5 + 6z5 * 7z5)) = 0 (-45 + 30z5 + (-63z5 + 42z10)) = 0 Combine like terms: 30z5 + -63z5 = -33z5 (-45 + -33z5 + 42z10) = 0 Solving -45 + -33z5 + 42z10 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + -11z5 + 14z10) = 0 Factor a trinomial. 3((-5 + -7z5)(3 + -2z5)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -7z5)' equal to zero and attempt to solve: Simplifying -5 + -7z5 = 0 Solving -5 + -7z5 = 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 + -7z5 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7z5 = 0 + 5 -7z5 = 0 + 5 Combine like terms: 0 + 5 = 5 -7z5 = 5 Divide each side by '-7'. z5 = -0.7142857143 Simplifying z5 = -0.7142857143 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -2z5)' equal to zero and attempt to solve: Simplifying 3 + -2z5 = 0 Solving 3 + -2z5 = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2z5 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2z5 = 0 + -3 -2z5 = 0 + -3 Combine like terms: 0 + -3 = -3 -2z5 = -3 Divide each side by '-2'. z5 = 1.5 Simplifying z5 = 1.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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