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Simplifying 5y2 + 7y + -1y2 = 0 Reorder the terms: 7y + 5y2 + -1y2 = 0 Combine like terms: 5y2 + -1y2 = 4y2 7y + 4y2 = 0 Solving 7y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(7 + 4y) = 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 '(7 + 4y)' equal to zero and attempt to solve: Simplifying 7 + 4y = 0 Solving 7 + 4y = 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 + 4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 0 + -7 4y = 0 + -7 Combine like terms: 0 + -7 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75Solution
y = {0, -1.75}
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