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Simplifying 8z4(3z2 + -7) = 0 Reorder the terms: 8z4(-7 + 3z2) = 0 (-7 * 8z4 + 3z2 * 8z4) = 0 (-56z4 + 24z6) = 0 Solving -56z4 + 24z6 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '8z4'. 8z4(-7 + 3z2) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'z4' equal to zero and attempt to solve: Simplifying z4 = 0 Solving z4 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z4 = 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 '(-7 + 3z2)' equal to zero and attempt to solve: Simplifying -7 + 3z2 = 0 Solving -7 + 3z2 = 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 + 3z2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3z2 = 0 + 7 3z2 = 0 + 7 Combine like terms: 0 + 7 = 7 3z2 = 7 Divide each side by '3'. z2 = 2.333333333 Simplifying z2 = 2.333333333 Take the square root of each side: z = {-1.527525232, 1.527525232}Solution
z = {-1.527525232, 1.527525232}
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