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Simplifying (10y + 3)(y + -4) = 0 Reorder the terms: (3 + 10y)(y + -4) = 0 Reorder the terms: (3 + 10y)(-4 + y) = 0 Multiply (3 + 10y) * (-4 + y) (3(-4 + y) + 10y * (-4 + y)) = 0 ((-4 * 3 + y * 3) + 10y * (-4 + y)) = 0 ((-12 + 3y) + 10y * (-4 + y)) = 0 (-12 + 3y + (-4 * 10y + y * 10y)) = 0 (-12 + 3y + (-40y + 10y2)) = 0 Combine like terms: 3y + -40y = -37y (-12 + -37y + 10y2) = 0 Solving -12 + -37y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -10y)(4 + -1y) = 0Subproblem 1
Set the factor '(-3 + -10y)' equal to zero and attempt to solve: Simplifying -3 + -10y = 0 Solving -3 + -10y = 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 + -10y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -10y = 0 + 3 -10y = 0 + 3 Combine like terms: 0 + 3 = 3 -10y = 3 Divide each side by '-10'. y = -0.3 Simplifying y = -0.3Subproblem 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 = {-0.3, 4}
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