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Simplifying (4y + 1)(7y + -2) = 0 Reorder the terms: (1 + 4y)(7y + -2) = 0 Reorder the terms: (1 + 4y)(-2 + 7y) = 0 Multiply (1 + 4y) * (-2 + 7y) (1(-2 + 7y) + 4y * (-2 + 7y)) = 0 ((-2 * 1 + 7y * 1) + 4y * (-2 + 7y)) = 0 ((-2 + 7y) + 4y * (-2 + 7y)) = 0 (-2 + 7y + (-2 * 4y + 7y * 4y)) = 0 (-2 + 7y + (-8y + 28y2)) = 0 Combine like terms: 7y + -8y = -1y (-2 + -1y + 28y2) = 0 Solving -2 + -1y + 28y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -4y)(2 + -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 '(2 + -7y)' equal to zero and attempt to solve: Simplifying 2 + -7y = 0 Solving 2 + -7y = 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 + -7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7y = 0 + -2 -7y = 0 + -2 Combine like terms: 0 + -2 = -2 -7y = -2 Divide each side by '-7'. y = 0.2857142857 Simplifying y = 0.2857142857Solution
y = {-0.25, 0.2857142857}
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