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Simplifying (6 + -1y)(5y + -2) = 0 Reorder the terms: (6 + -1y)(-2 + 5y) = 0 Multiply (6 + -1y) * (-2 + 5y) (6(-2 + 5y) + -1y * (-2 + 5y)) = 0 ((-2 * 6 + 5y * 6) + -1y * (-2 + 5y)) = 0 ((-12 + 30y) + -1y * (-2 + 5y)) = 0 (-12 + 30y + (-2 * -1y + 5y * -1y)) = 0 (-12 + 30y + (2y + -5y2)) = 0 Combine like terms: 30y + 2y = 32y (-12 + 32y + -5y2) = 0 Solving -12 + 32y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + y)(2 + -5y) = 0Subproblem 1
Set the factor '(-6 + y)' equal to zero and attempt to solve: Simplifying -6 + y = 0 Solving -6 + y = 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 + y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + y = 0 + 6 y = 0 + 6 Combine like terms: 0 + 6 = 6 y = 6 Simplifying y = 6Subproblem 2
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 = 0.4Solution
y = {6, 0.4}
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