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Simplifying 28 = 4y2 + 9y Reorder the terms: 28 = 9y + 4y2 Solving 28 = 9y + 4y2 Solving for variable 'y'. Reorder the terms: 28 + -9y + -4y2 = 9y + -9y + 4y2 + -4y2 Combine like terms: 9y + -9y = 0 28 + -9y + -4y2 = 0 + 4y2 + -4y2 28 + -9y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 28 + -9y + -4y2 = 0 Factor a trinomial. (7 + -4y)(4 + y) = 0Subproblem 1
Set the factor '(7 + -4y)' equal to zero and attempt to solve: Simplifying 7 + -4y = 0 Solving 7 + -4y = 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 + -4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 0 + -7 -4y = 0 + -7 Combine like terms: 0 + -7 = -7 -4y = -7 Divide each side by '-4'. y = 1.75 Simplifying y = 1.75Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {1.75, -4}
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