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Simplifying 2z4 + -7z2 + -15 = 0 Reorder the terms: -15 + -7z2 + 2z4 = 0 Solving -15 + -7z2 + 2z4 = 0 Solving for variable 'z'. Factor a trinomial. (-3 + -2z2)(5 + -1z2) = 0Subproblem 1
Set the factor '(-3 + -2z2)' equal to zero and attempt to solve: Simplifying -3 + -2z2 = 0 Solving -3 + -2z2 = 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 + -2z2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2z2 = 0 + 3 -2z2 = 0 + 3 Combine like terms: 0 + 3 = 3 -2z2 = 3 Divide each side by '-2'. z2 = -1.5 Simplifying z2 = -1.5 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 '(5 + -1z2)' equal to zero and attempt to solve: Simplifying 5 + -1z2 = 0 Solving 5 + -1z2 = 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 + -1z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1z2 = 0 + -5 -1z2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1z2 = -5 Divide each side by '-1'. z2 = 5 Simplifying z2 = 5 Take the square root of each side: z = {-2.236067978, 2.236067978}Solution
z = {-2.236067978, 2.236067978}
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