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Simplifying 5y(6y + -4) = 1330 Reorder the terms: 5y(-4 + 6y) = 1330 (-4 * 5y + 6y * 5y) = 1330 (-20y + 30y2) = 1330 Solving -20y + 30y2 = 1330 Solving for variable 'y'. Reorder the terms: -1330 + -20y + 30y2 = 1330 + -1330 Combine like terms: 1330 + -1330 = 0 -1330 + -20y + 30y2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-133 + -2y + 3y2) = 0 Factor a trinomial. 10((-19 + -3y)(7 + -1y)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-19 + -3y)' equal to zero and attempt to solve: Simplifying -19 + -3y = 0 Solving -19 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -3y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -3y = 0 + 19 -3y = 0 + 19 Combine like terms: 0 + 19 = 19 -3y = 19 Divide each side by '-3'. y = -6.333333333 Simplifying y = -6.333333333Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {-6.333333333, 7}
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