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Simplifying (4y + -3)(5y + 1) = 0 Reorder the terms: (-3 + 4y)(5y + 1) = 0 Reorder the terms: (-3 + 4y)(1 + 5y) = 0 Multiply (-3 + 4y) * (1 + 5y) (-3(1 + 5y) + 4y * (1 + 5y)) = 0 ((1 * -3 + 5y * -3) + 4y * (1 + 5y)) = 0 ((-3 + -15y) + 4y * (1 + 5y)) = 0 (-3 + -15y + (1 * 4y + 5y * 4y)) = 0 (-3 + -15y + (4y + 20y2)) = 0 Combine like terms: -15y + 4y = -11y (-3 + -11y + 20y2) = 0 Solving -3 + -11y + 20y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -5y)(3 + -4y) = 0Subproblem 1
Set the factor '(-1 + -5y)' equal to zero and attempt to solve: Simplifying -1 + -5y = 0 Solving -1 + -5y = 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 + -5y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5y = 0 + 1 -5y = 0 + 1 Combine like terms: 0 + 1 = 1 -5y = 1 Divide each side by '-5'. y = -0.2 Simplifying y = -0.2Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Solution
y = {-0.2, 0.75}
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