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Simplifying 4y + -2y3(2.5y2 + y2) = 0 Combine like terms: 2.5y2 + y2 = 3.5y2 4y + -2y3(3.5y2) = 0 Remove parenthesis around (3.5y2) 4y + -2y3 * 3.5y2 = 0 Reorder the terms for easier multiplication: 4y + -2 * 3.5y3 * y2 = 0 Multiply -2 * 3.5 4y + -7y3 * y2 = 0 Multiply y3 * y2 4y + -7y5 = 0 Solving 4y + -7y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(4 + -7y4) = 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 '(4 + -7y4)' equal to zero and attempt to solve: Simplifying 4 + -7y4 = 0 Solving 4 + -7y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7y4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7y4 = 0 + -4 -7y4 = 0 + -4 Combine like terms: 0 + -4 = -4 -7y4 = -4 Divide each side by '-7'. y4 = 0.5714285714 Simplifying y4 = 0.5714285714 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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