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Simplifying 4y + 5y(4 + 5) * y = 9y Combine like terms: 4 + 5 = 9 4y + 5y(9) * y = 9y Reorder the terms for easier multiplication: 4y + 5 * 9y * y = 9y Multiply 5 * 9 4y + 45y * y = 9y Multiply y * y 4y + 45y2 = 9y Solving 4y + 45y2 = 9y Solving for variable 'y'. Reorder the terms: 4y + -9y + 45y2 = 9y + -9y Combine like terms: 4y + -9y = -5y -5y + 45y2 = 9y + -9y Combine like terms: 9y + -9y = 0 -5y + 45y2 = 0 Factor out the Greatest Common Factor (GCF), '5y'. 5y(-1 + 9y) = 0 Ignore the factor 5.Subproblem 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 '(-1 + 9y)' equal to zero and attempt to solve: Simplifying -1 + 9y = 0 Solving -1 + 9y = 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 + 9y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9y = 0 + 1 9y = 0 + 1 Combine like terms: 0 + 1 = 1 9y = 1 Divide each side by '9'. y = 0.1111111111 Simplifying y = 0.1111111111Solution
y = {0, 0.1111111111}
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