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Simplifying (2 + y)(5y + -6) = 0 Reorder the terms: (2 + y)(-6 + 5y) = 0 Multiply (2 + y) * (-6 + 5y) (2(-6 + 5y) + y(-6 + 5y)) = 0 ((-6 * 2 + 5y * 2) + y(-6 + 5y)) = 0 ((-12 + 10y) + y(-6 + 5y)) = 0 (-12 + 10y + (-6 * y + 5y * y)) = 0 (-12 + 10y + (-6y + 5y2)) = 0 Combine like terms: 10y + -6y = 4y (-12 + 4y + 5y2) = 0 Solving -12 + 4y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(6 + -5y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 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 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(6 + -5y)' equal to zero and attempt to solve: Simplifying 6 + -5y = 0 Solving 6 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5y = 0 + -6 -5y = 0 + -6 Combine like terms: 0 + -6 = -6 -5y = -6 Divide each side by '-5'. y = 1.2 Simplifying y = 1.2Solution
y = {-2, 1.2}
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