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Simplifying (4y + -1)(7y + -4) = 0 Reorder the terms: (-1 + 4y)(7y + -4) = 0 Reorder the terms: (-1 + 4y)(-4 + 7y) = 0 Multiply (-1 + 4y) * (-4 + 7y) (-1(-4 + 7y) + 4y * (-4 + 7y)) = 0 ((-4 * -1 + 7y * -1) + 4y * (-4 + 7y)) = 0 ((4 + -7y) + 4y * (-4 + 7y)) = 0 (4 + -7y + (-4 * 4y + 7y * 4y)) = 0 (4 + -7y + (-16y + 28y2)) = 0 Combine like terms: -7y + -16y = -23y (4 + -23y + 28y2) = 0 Solving 4 + -23y + 28y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -4y)(4 + -7y) = 0Subproblem 1
Set the factor '(1 + -4y)' equal to zero and attempt to solve: Simplifying 1 + -4y = 0 Solving 1 + -4y = 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 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Divide each side by '-4'. y = 0.25 Simplifying y = 0.25Subproblem 2
Set the factor '(4 + -7y)' equal to zero and attempt to solve: Simplifying 4 + -7y = 0 Solving 4 + -7y = 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 + -7y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7y = 0 + -4 -7y = 0 + -4 Combine like terms: 0 + -4 = -4 -7y = -4 Divide each side by '-7'. y = 0.5714285714 Simplifying y = 0.5714285714Solution
y = {0.25, 0.5714285714}
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