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Simplifying (6y + 1)(5y + -4) = 0 Reorder the terms: (1 + 6y)(5y + -4) = 0 Reorder the terms: (1 + 6y)(-4 + 5y) = 0 Multiply (1 + 6y) * (-4 + 5y) (1(-4 + 5y) + 6y * (-4 + 5y)) = 0 ((-4 * 1 + 5y * 1) + 6y * (-4 + 5y)) = 0 ((-4 + 5y) + 6y * (-4 + 5y)) = 0 (-4 + 5y + (-4 * 6y + 5y * 6y)) = 0 (-4 + 5y + (-24y + 30y2)) = 0 Combine like terms: 5y + -24y = -19y (-4 + -19y + 30y2) = 0 Solving -4 + -19y + 30y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -6y)(4 + -5y) = 0Subproblem 1
Set the factor '(-1 + -6y)' equal to zero and attempt to solve: Simplifying -1 + -6y = 0 Solving -1 + -6y = 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 + -6y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6y = 0 + 1 -6y = 0 + 1 Combine like terms: 0 + 1 = 1 -6y = 1 Divide each side by '-6'. y = -0.1666666667 Simplifying y = -0.1666666667Subproblem 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 = {-0.1666666667, 0.8}
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