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Simplifying 2z4 + 7z2 + -4 = 0 Reorder the terms: -4 + 7z2 + 2z4 = 0 Solving -4 + 7z2 + 2z4 = 0 Solving for variable 'z'. Factor a trinomial. (-4 + -1z2)(1 + -2z2) = 0Subproblem 1
Set the factor '(-4 + -1z2)' equal to zero and attempt to solve: Simplifying -4 + -1z2 = 0 Solving -4 + -1z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1z2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1z2 = 0 + 4 -1z2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1z2 = 4 Divide each side by '-1'. z2 = -4 Simplifying z2 = -4 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 '(1 + -2z2)' equal to zero and attempt to solve: Simplifying 1 + -2z2 = 0 Solving 1 + -2z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2z2 = 0 + -1 -2z2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2z2 = -1 Divide each side by '-2'. z2 = 0.5 Simplifying z2 = 0.5 Take the square root of each side: z = {-0.707106781, 0.707106781}Solution
z = {-0.707106781, 0.707106781}
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