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Simplifying 3y(4y + -5) = 1y + y Reorder the terms: 3y(-5 + 4y) = 1y + y (-5 * 3y + 4y * 3y) = 1y + y (-15y + 12y2) = 1y + y Combine like terms: 1y + y = 2y -15y + 12y2 = 2y Solving -15y + 12y2 = 2y Solving for variable 'y'. Reorder the terms: -15y + -2y + 12y2 = 2y + -2y Combine like terms: -15y + -2y = -17y -17y + 12y2 = 2y + -2y Combine like terms: 2y + -2y = 0 -17y + 12y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-17 + 12y) = 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 '(-17 + 12y)' equal to zero and attempt to solve: Simplifying -17 + 12y = 0 Solving -17 + 12y = 0 Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 12y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 12y = 0 + 17 12y = 0 + 17 Combine like terms: 0 + 17 = 17 12y = 17 Divide each side by '12'. y = 1.416666667 Simplifying y = 1.416666667Solution
y = {0, 1.416666667}
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