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Simplifying (y + 4)(5y + -3) = 0 Reorder the terms: (4 + y)(5y + -3) = 0 Reorder the terms: (4 + y)(-3 + 5y) = 0 Multiply (4 + y) * (-3 + 5y) (4(-3 + 5y) + y(-3 + 5y)) = 0 ((-3 * 4 + 5y * 4) + y(-3 + 5y)) = 0 ((-12 + 20y) + y(-3 + 5y)) = 0 (-12 + 20y + (-3 * y + 5y * y)) = 0 (-12 + 20y + (-3y + 5y2)) = 0 Combine like terms: 20y + -3y = 17y (-12 + 17y + 5y2) = 0 Solving -12 + 17y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -1y)(3 + -5y) = 0Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 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 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 2
Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 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 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6Solution
y = {-4, 0.6}
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