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Simplifying 10y2 + -3y2 = 21y + 11y Combine like terms: 10y2 + -3y2 = 7y2 7y2 = 21y + 11y Combine like terms: 21y + 11y = 32y 7y2 = 32y Solving 7y2 = 32y Solving for variable 'y'. Reorder the terms: -32y + 7y2 = 32y + -32y Combine like terms: 32y + -32y = 0 -32y + 7y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-32 + 7y) = 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 '(-32 + 7y)' equal to zero and attempt to solve: Simplifying -32 + 7y = 0 Solving -32 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 7y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 7y = 0 + 32 7y = 0 + 32 Combine like terms: 0 + 32 = 32 7y = 32 Divide each side by '7'. y = 4.571428571 Simplifying y = 4.571428571Solution
y = {0, 4.571428571}
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