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