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Simplifying (7z4 + -9z2) * 10z5 = 0 Reorder the terms: (-9z2 + 7z4) * 10z5 = 0 Reorder the terms for easier multiplication: 10z5(-9z2 + 7z4) = 0 (-9z2 * 10z5 + 7z4 * 10z5) = 0 (-90z7 + 70z9) = 0 Solving -90z7 + 70z9 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '10z7'. 10z7(-9 + 7z2) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'z7' equal to zero and attempt to solve: Simplifying z7 = 0 Solving z7 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z7 = 0 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 '(-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 Take the square root of each side: z = {-1.133893419, 1.133893419}Solution
z = {-1.133893419, 1.133893419}
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