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Simplifying 3y2 = 13y + 100 Reorder the terms: 3y2 = 100 + 13y Solving 3y2 = 100 + 13y Solving for variable 'y'. Reorder the terms: -100 + -13y + 3y2 = 100 + 13y + -100 + -13y Reorder the terms: -100 + -13y + 3y2 = 100 + -100 + 13y + -13y Combine like terms: 100 + -100 = 0 -100 + -13y + 3y2 = 0 + 13y + -13y -100 + -13y + 3y2 = 13y + -13y Combine like terms: 13y + -13y = 0 -100 + -13y + 3y2 = 0 Factor a trinomial. (-4 + -1y)(25 + -3y) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(25 + -3y)' equal to zero and attempt to solve: Simplifying 25 + -3y = 0 Solving 25 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -3y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3y = 0 + -25 -3y = 0 + -25 Combine like terms: 0 + -25 = -25 -3y = -25 Divide each side by '-3'. y = 8.333333333 Simplifying y = 8.333333333Solution
y = {-4, 8.333333333}
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