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Simplifying 5z2(-7z2 + -9) = 0 Reorder the terms: 5z2(-9 + -7z2) = 0 (-9 * 5z2 + -7z2 * 5z2) = 0 (-45z2 + -35z4) = 0 Solving -45z2 + -35z4 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '-5z2'. -5z2(9 + 7z2) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z2 = 0 Take the square root of each side: z = {0}Subproblem 2
Set the factor '(9 + 7z2)' equal to zero and attempt to solve: Simplifying 9 + 7z2 = 0 Solving 9 + 7z2 = 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 + 7z2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7z2 = 0 + -9 7z2 = 0 + -9 Combine like terms: 0 + -9 = -9 7z2 = -9 Divide each side by '7'. z2 = -1.285714286 Simplifying z2 = -1.285714286 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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