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Simplifying (4y + 3)(2y + -7) = 0 Reorder the terms: (3 + 4y)(2y + -7) = 0 Reorder the terms: (3 + 4y)(-7 + 2y) = 0 Multiply (3 + 4y) * (-7 + 2y) (3(-7 + 2y) + 4y * (-7 + 2y)) = 0 ((-7 * 3 + 2y * 3) + 4y * (-7 + 2y)) = 0 ((-21 + 6y) + 4y * (-7 + 2y)) = 0 (-21 + 6y + (-7 * 4y + 2y * 4y)) = 0 (-21 + 6y + (-28y + 8y2)) = 0 Combine like terms: 6y + -28y = -22y (-21 + -22y + 8y2) = 0 Solving -21 + -22y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -4y)(7 + -2y) = 0Subproblem 1
Set the factor '(-3 + -4y)' equal to zero and attempt to solve: Simplifying -3 + -4y = 0 Solving -3 + -4y = 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 + -4y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4y = 0 + 3 -4y = 0 + 3 Combine like terms: 0 + 3 = 3 -4y = 3 Divide each side by '-4'. y = -0.75 Simplifying y = -0.75Subproblem 2
Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5Solution
y = {-0.75, 3.5}
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