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Simplifying 9(3y * 3y) = 10(3y) Reorder the terms for easier multiplication: 9(3 * 3y * y) = 10(3y) Multiply 3 * 3 9(9y * y) = 10(3y) Multiply y * y 9(9y2) = 10(3y) Remove parenthesis around (9y2) 9 * 9y2 = 10(3y) Multiply 9 * 9 81y2 = 10(3y) Remove parenthesis around (3y) 81y2 = 10 * 3y Multiply 10 * 3 81y2 = 30y Solving 81y2 = 30y Solving for variable 'y'. Reorder the terms: -30y + 81y2 = 30y + -30y Combine like terms: 30y + -30y = 0 -30y + 81y2 = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(-10 + 27y) = 0 Ignore the factor 3.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 '(-10 + 27y)' equal to zero and attempt to solve: Simplifying -10 + 27y = 0 Solving -10 + 27y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 27y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 27y = 0 + 10 27y = 0 + 10 Combine like terms: 0 + 10 = 10 27y = 10 Divide each side by '27'. y = 0.3703703704 Simplifying y = 0.3703703704Solution
y = {0, 0.3703703704}
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