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Simplifying 5y2 + -3y3 + -7y2 + 7y3 = 0 Reorder the terms: 5y2 + -7y2 + -3y3 + 7y3 = 0 Combine like terms: 5y2 + -7y2 = -2y2 -2y2 + -3y3 + 7y3 = 0 Combine like terms: -3y3 + 7y3 = 4y3 -2y2 + 4y3 = 0 Solving -2y2 + 4y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-1 + 2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(-1 + 2y)' equal to zero and attempt to solve: Simplifying -1 + 2y = 0 Solving -1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2y = 0 + 1 2y = 0 + 1 Combine like terms: 0 + 1 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5Solution
y = {0, 0.5}
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