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Simplifying 2y(3y + -10 + 4y) = 2y2 Reorder the terms: 2y(-10 + 3y + 4y) = 2y2 Combine like terms: 3y + 4y = 7y 2y(-10 + 7y) = 2y2 (-10 * 2y + 7y * 2y) = 2y2 (-20y + 14y2) = 2y2 Solving -20y + 14y2 = 2y2 Solving for variable 'y'. Combine like terms: 14y2 + -2y2 = 12y2 -20y + 12y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -20y + 12y2 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(-5 + 3y) = 0 Ignore the factor 4.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 '(-5 + 3y)' equal to zero and attempt to solve: Simplifying -5 + 3y = 0 Solving -5 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3y = 0 + 5 3y = 0 + 5 Combine like terms: 0 + 5 = 5 3y = 5 Divide each side by '3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {0, 1.666666667}
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