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Simplifying 16y4 + -25z2 = 0 Solving 16y4 + -25z2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25z2' to each side of the equation. 16y4 + -25z2 + 25z2 = 0 + 25z2 Combine like terms: -25z2 + 25z2 = 0 16y4 + 0 = 0 + 25z2 16y4 = 0 + 25z2 Remove the zero: 16y4 = 25z2 Divide each side by '16'. y4 = 1.5625z2 Simplifying y4 = 1.5625z2 Combine like terms: 1.5625z2 + -1.5625z2 = 0.0000 y4 + -1.5625z2 = 0.0000 Factor a difference between two squares. (y2 + 1.25z)(y2 + -1.25z) = 0.0000Subproblem 1
Set the factor '(y2 + 1.25z)' equal to zero and attempt to solve: Simplifying y2 + 1.25z = 0 Solving y2 + 1.25z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1.25z' to each side of the equation. y2 + 1.25z + -1.25z = 0 + -1.25z Combine like terms: 1.25z + -1.25z = 0.00 y2 + 0.00 = 0 + -1.25z y2 = 0 + -1.25z Remove the zero: y2 = -1.25z Simplifying y2 = -1.25z 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 '(y2 + -1.25z)' equal to zero and attempt to solve: Simplifying y2 + -1.25z = 0 Solving y2 + -1.25z = 0 Move all terms containing y to the left, all other terms to the right. Add '1.25z' to each side of the equation. y2 + -1.25z + 1.25z = 0 + 1.25z Combine like terms: -1.25z + 1.25z = 0.00 y2 + 0.00 = 0 + 1.25z y2 = 0 + 1.25z Remove the zero: y2 = 1.25z Simplifying y2 = 1.25z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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