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Simplifying 7y2 + -3y2 = 46y + 7y Combine like terms: 7y2 + -3y2 = 4y2 4y2 = 46y + 7y Combine like terms: 46y + 7y = 53y 4y2 = 53y Solving 4y2 = 53y Solving for variable 'y'. Reorder the terms: -53y + 4y2 = 53y + -53y Combine like terms: 53y + -53y = 0 -53y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-53 + 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 '(-53 + 4y)' equal to zero and attempt to solve: Simplifying -53 + 4y = 0 Solving -53 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 4y = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 4y = 0 + 53 4y = 0 + 53 Combine like terms: 0 + 53 = 53 4y = 53 Divide each side by '4'. y = 13.25 Simplifying y = 13.25Solution
y = {0, 13.25}
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