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Simplifying (7y + -4)(2y + 3) = 0 Reorder the terms: (-4 + 7y)(2y + 3) = 0 Reorder the terms: (-4 + 7y)(3 + 2y) = 0 Multiply (-4 + 7y) * (3 + 2y) (-4(3 + 2y) + 7y * (3 + 2y)) = 0 ((3 * -4 + 2y * -4) + 7y * (3 + 2y)) = 0 ((-12 + -8y) + 7y * (3 + 2y)) = 0 (-12 + -8y + (3 * 7y + 2y * 7y)) = 0 (-12 + -8y + (21y + 14y2)) = 0 Combine like terms: -8y + 21y = 13y (-12 + 13y + 14y2) = 0 Solving -12 + 13y + 14y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -2y)(4 + -7y) = 0Subproblem 1
Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 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 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5Subproblem 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 = {-1.5, 0.5714285714}
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