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Simplifying 14y6 + -5y5 + -1y4 = 0 Reorder the terms: -1y4 + -5y5 + 14y6 = 0 Solving -1y4 + -5y5 + 14y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y4'. y4(-1 + -5y + 14y2) = 0 Factor a trinomial. y4((-1 + -7y)(1 + -2y)) = 0Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 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 '(-1 + -7y)' equal to zero and attempt to solve: Simplifying -1 + -7y = 0 Solving -1 + -7y = 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 + -7y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7y = 0 + 1 -7y = 0 + 1 Combine like terms: 0 + 1 = 1 -7y = 1 Divide each side by '-7'. y = -0.1428571429 Simplifying y = -0.1428571429Subproblem 3
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-0.1428571429, 0.5}
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