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Simplifying 50z4 + -72z2 = 0 Reorder the terms: -72z2 + 50z4 = 0 Solving -72z2 + 50z4 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z2'. 2z2(-36 + 25z2) = 0 Factor a difference between two squares. 2z2((6 + 5z)(-6 + 5z)) = 0 Ignore the factor 2.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 '(6 + 5z)' equal to zero and attempt to solve: Simplifying 6 + 5z = 0 Solving 6 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5z = 0 + -6 5z = 0 + -6 Combine like terms: 0 + -6 = -6 5z = -6 Divide each side by '5'. z = -1.2 Simplifying z = -1.2Subproblem 3
Set the factor '(-6 + 5z)' equal to zero and attempt to solve: Simplifying -6 + 5z = 0 Solving -6 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = 0 + 6 5z = 0 + 6 Combine like terms: 0 + 6 = 6 5z = 6 Divide each side by '5'. z = 1.2 Simplifying z = 1.2Solution
z = {0, -1.2, 1.2}
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