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Simplifying 49y3 + -81y = 0 Reorder the terms: -81y + 49y3 = 0 Solving -81y + 49y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-81 + 49y2) = 0 Factor a difference between two squares. y((9 + 7y)(-9 + 7y)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(9 + 7y)' equal to zero and attempt to solve: Simplifying 9 + 7y = 0 Solving 9 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7y = 0 + -9 7y = 0 + -9 Combine like terms: 0 + -9 = -9 7y = -9 Divide each side by '7'. y = -1.285714286 Simplifying y = -1.285714286Subproblem 3
Set the factor '(-9 + 7y)' equal to zero and attempt to solve: Simplifying -9 + 7y = 0 Solving -9 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7y = 0 + 9 7y = 0 + 9 Combine like terms: 0 + 9 = 9 7y = 9 Divide each side by '7'. y = 1.285714286 Simplifying y = 1.285714286Solution
y = {0, -1.285714286, 1.285714286}
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