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Simplifying 6y2z5 + -11yz5 + 5z5 = 0 Reorder the terms: -11yz5 + 6y2z5 + 5z5 = 0 Solving -11yz5 + 6y2z5 + 5z5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'z5'. z5(-11y + 6y2 + 5) = 0 Factor a trinomial. z5((y + -1)(6y + -5)) = 0Subproblem 1
Set the factor 'z5' equal to zero and attempt to solve: Simplifying z5 = 0 Solving z5 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z5' to each side of the equation. z5 + -1z5 = 0 + -1z5 Remove the zero: 0 = -1z5 Simplifying 0 = -1z5 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 '(y + -1)' equal to zero and attempt to solve: Simplifying y + -1 = 0 Reorder the terms: -1 + y = 0 Solving -1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Simplifying y = 1Subproblem 3
Set the factor '(6y + -5)' equal to zero and attempt to solve: Simplifying 6y + -5 = 0 Reorder the terms: -5 + 6y = 0 Solving -5 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6y = 0 + 5 6y = 0 + 5 Combine like terms: 0 + 5 = 5 6y = 5 Divide each side by '6'. y = 0.8333333333 Simplifying y = 0.8333333333Solution
y = {1, 0.8333333333}
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