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Simplifying (3y + 2)(5y + -4) = 0 Reorder the terms: (2 + 3y)(5y + -4) = 0 Reorder the terms: (2 + 3y)(-4 + 5y) = 0 Multiply (2 + 3y) * (-4 + 5y) (2(-4 + 5y) + 3y * (-4 + 5y)) = 0 ((-4 * 2 + 5y * 2) + 3y * (-4 + 5y)) = 0 ((-8 + 10y) + 3y * (-4 + 5y)) = 0 (-8 + 10y + (-4 * 3y + 5y * 3y)) = 0 (-8 + 10y + (-12y + 15y2)) = 0 Combine like terms: 10y + -12y = -2y (-8 + -2y + 15y2) = 0 Solving -8 + -2y + 15y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -3y)(4 + -5y) = 0Subproblem 1
Set the factor '(-2 + -3y)' equal to zero and attempt to solve: Simplifying -2 + -3y = 0 Solving -2 + -3y = 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 + -3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 0 + 2 -3y = 0 + 2 Combine like terms: 0 + 2 = 2 -3y = 2 Divide each side by '-3'. y = -0.6666666667 Simplifying y = -0.6666666667Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 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 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Solution
y = {-0.6666666667, 0.8}
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