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Simplifying 7y4(y2 + -4y) + 5y6 = 0 Reorder the terms: 7y4(-4y + y2) + 5y6 = 0 (-4y * 7y4 + y2 * 7y4) + 5y6 = 0 (-28y5 + 7y6) + 5y6 = 0 Combine like terms: 7y6 + 5y6 = 12y6 -28y5 + 12y6 = 0 Solving -28y5 + 12y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y5'. 4y5(-7 + 3y) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y5' equal to zero and attempt to solve: Simplifying y5 = 0 Solving y5 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y5 = 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 '(-7 + 3y)' equal to zero and attempt to solve: Simplifying -7 + 3y = 0 Solving -7 + 3y = 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 + 3y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3y = 0 + 7 3y = 0 + 7 Combine like terms: 0 + 7 = 7 3y = 7 Divide each side by '3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {2.333333333}
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