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Simplifying (5y + 2)(3y + 1) = 0 Reorder the terms: (2 + 5y)(3y + 1) = 0 Reorder the terms: (2 + 5y)(1 + 3y) = 0 Multiply (2 + 5y) * (1 + 3y) (2(1 + 3y) + 5y * (1 + 3y)) = 0 ((1 * 2 + 3y * 2) + 5y * (1 + 3y)) = 0 ((2 + 6y) + 5y * (1 + 3y)) = 0 (2 + 6y + (1 * 5y + 3y * 5y)) = 0 (2 + 6y + (5y + 15y2)) = 0 Combine like terms: 6y + 5y = 11y (2 + 11y + 15y2) = 0 Solving 2 + 11y + 15y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + 5y)(1 + 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 '(1 + 3y)' equal to zero and attempt to solve: Simplifying 1 + 3y = 0 Solving 1 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333Solution
y = {-0.4, -0.3333333333}
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