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Simplifying (y + 10)(y + -4) = 0 Reorder the terms: (10 + y)(y + -4) = 0 Reorder the terms: (10 + y)(-4 + y) = 0 Multiply (10 + y) * (-4 + y) (10(-4 + y) + y(-4 + y)) = 0 ((-4 * 10 + y * 10) + y(-4 + y)) = 0 ((-40 + 10y) + y(-4 + y)) = 0 (-40 + 10y + (-4 * y + y * y)) = 0 (-40 + 10y + (-4y + y2)) = 0 Combine like terms: 10y + -4y = 6y (-40 + 6y + y2) = 0 Solving -40 + 6y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-10 + -1y)(4 + -1y) = 0Subproblem 1
Set the factor '(-10 + -1y)' equal to zero and attempt to solve: Simplifying -10 + -1y = 0 Solving -10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1y = 0 + 10 -1y = 0 + 10 Combine like terms: 0 + 10 = 10 -1y = 10 Divide each side by '-1'. y = -10 Simplifying y = -10Subproblem 2
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 = 4Solution
y = {-10, 4}
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