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Simplifying 7y4 + -3y3(2 + -3y) = 0 7y4 + (2 * -3y3 + -3y * -3y3) = 0 7y4 + (-6y3 + 9y4) = 0 Reorder the terms: -6y3 + 7y4 + 9y4 = 0 Combine like terms: 7y4 + 9y4 = 16y4 -6y3 + 16y4 = 0 Solving -6y3 + 16y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y3'. 2y3(-3 + 8y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 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 '(-3 + 8y)' equal to zero and attempt to solve: Simplifying -3 + 8y = 0 Solving -3 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8y = 0 + 3 8y = 0 + 3 Combine like terms: 0 + 3 = 3 8y = 3 Divide each side by '8'. y = 0.375 Simplifying y = 0.375Solution
y = {0.375}
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