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Simplifying y3 + -9y3 + 14y = 0 Reorder the terms: 14y + y3 + -9y3 = 0 Combine like terms: y3 + -9y3 = -8y3 14y + -8y3 = 0 Solving 14y + -8y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(7 + -4y2) = 0 Ignore the factor 2.Subproblem 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 '(7 + -4y2)' equal to zero and attempt to solve: Simplifying 7 + -4y2 = 0 Solving 7 + -4y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4y2 = 0 + -7 -4y2 = 0 + -7 Combine like terms: 0 + -7 = -7 -4y2 = -7 Divide each side by '-4'. y2 = 1.75 Simplifying y2 = 1.75 Take the square root of each side: y = {-1.322875656, 1.322875656}Solution
y = {0, -1.322875656, 1.322875656}
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