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Simplifying 28y2 + 43y + -48 = 0 Reorder the terms: -48 + 43y + 28y2 = 0 Solving -48 + 43y + 28y2 = 0 Solving for variable 'y'. Factor a trinomial. (-16 + -7y)(3 + -4y) = 0Subproblem 1
Set the factor '(-16 + -7y)' equal to zero and attempt to solve: Simplifying -16 + -7y = 0 Solving -16 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -7y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -7y = 0 + 16 -7y = 0 + 16 Combine like terms: 0 + 16 = 16 -7y = 16 Divide each side by '-7'. y = -2.285714286 Simplifying y = -2.285714286Subproblem 2
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 = 0.75Solution
y = {-2.285714286, 0.75}
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