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Simplifying (5y + 2)(3y + -4) = 0 Reorder the terms: (2 + 5y)(3y + -4) = 0 Reorder the terms: (2 + 5y)(-4 + 3y) = 0 Multiply (2 + 5y) * (-4 + 3y) (2(-4 + 3y) + 5y * (-4 + 3y)) = 0 ((-4 * 2 + 3y * 2) + 5y * (-4 + 3y)) = 0 ((-8 + 6y) + 5y * (-4 + 3y)) = 0 (-8 + 6y + (-4 * 5y + 3y * 5y)) = 0 (-8 + 6y + (-20y + 15y2)) = 0 Combine like terms: 6y + -20y = -14y (-8 + -14y + 15y2) = 0 Solving -8 + -14y + 15y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -5y)(4 + -3y) = 0Subproblem 1
Set the factor '(-2 + -5y)' equal to zero and attempt to solve: Simplifying -2 + -5y = 0 Solving -2 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 0 + 2 -5y = 0 + 2 Combine like terms: 0 + 2 = 2 -5y = 2 Divide each side by '-5'. y = -0.4 Simplifying y = -0.4Subproblem 2
Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Solution
y = {-0.4, 1.333333333}
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