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Simplifying 7y2 + -3y2 = 42y + 9y Combine like terms: 7y2 + -3y2 = 4y2 4y2 = 42y + 9y Combine like terms: 42y + 9y = 51y 4y2 = 51y Solving 4y2 = 51y Solving for variable 'y'. Reorder the terms: -51y + 4y2 = 51y + -51y Combine like terms: 51y + -51y = 0 -51y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-51 + 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 '(-51 + 4y)' equal to zero and attempt to solve: Simplifying -51 + 4y = 0 Solving -51 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 4y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 4y = 0 + 51 4y = 0 + 51 Combine like terms: 0 + 51 = 51 4y = 51 Divide each side by '4'. y = 12.75 Simplifying y = 12.75Solution
y = {0, 12.75}
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