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Simplifying (5y + -4)(-7y + 2) = 0 Reorder the terms: (-4 + 5y)(-7y + 2) = 0 Reorder the terms: (-4 + 5y)(2 + -7y) = 0 Multiply (-4 + 5y) * (2 + -7y) (-4(2 + -7y) + 5y * (2 + -7y)) = 0 ((2 * -4 + -7y * -4) + 5y * (2 + -7y)) = 0 ((-8 + 28y) + 5y * (2 + -7y)) = 0 (-8 + 28y + (2 * 5y + -7y * 5y)) = 0 (-8 + 28y + (10y + -35y2)) = 0 Combine like terms: 28y + 10y = 38y (-8 + 38y + -35y2) = 0 Solving -8 + 38y + -35y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + 5y)(2 + -7y) = 0Subproblem 1
Set the factor '(-4 + 5y)' equal to zero and attempt to solve: Simplifying -4 + 5y = 0 Solving -4 + 5y = 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 + 5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 0 + 4 5y = 0 + 4 Combine like terms: 0 + 4 = 4 5y = 4 Divide each side by '5'. y = 0.8 Simplifying y = 0.8Subproblem 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 = {0.8, 0.2857142857}
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