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Simplifying 7y2(1y4 + -3y) + 2y6 = 0 Reorder the terms: 7y2(-3y + 1y4) + 2y6 = 0 (-3y * 7y2 + 1y4 * 7y2) + 2y6 = 0 (-21y3 + 7y6) + 2y6 = 0 Combine like terms: 7y6 + 2y6 = 9y6 -21y3 + 9y6 = 0 Solving -21y3 + 9y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y3'. 3y3(-7 + 3y3) = 0 Ignore the factor 3.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 '(-7 + 3y3)' equal to zero and attempt to solve: Simplifying -7 + 3y3 = 0 Solving -7 + 3y3 = 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 + 3y3 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3y3 = 0 + 7 3y3 = 0 + 7 Combine like terms: 0 + 7 = 7 3y3 = 7 Divide each side by '3'. y3 = 2.333333333 Simplifying y3 = 2.333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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