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Simplifying y2 + 3y = 49y + 147 Reorder the terms: 3y + y2 = 49y + 147 Reorder the terms: 3y + y2 = 147 + 49y Solving 3y + y2 = 147 + 49y Solving for variable 'y'. Reorder the terms: -147 + 3y + -49y + y2 = 147 + 49y + -147 + -49y Combine like terms: 3y + -49y = -46y -147 + -46y + y2 = 147 + 49y + -147 + -49y Reorder the terms: -147 + -46y + y2 = 147 + -147 + 49y + -49y Combine like terms: 147 + -147 = 0 -147 + -46y + y2 = 0 + 49y + -49y -147 + -46y + y2 = 49y + -49y Combine like terms: 49y + -49y = 0 -147 + -46y + y2 = 0 Factor a trinomial. (-3 + -1y)(49 + -1y) = 0Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve: Simplifying -3 + -1y = 0 Solving -3 + -1y = 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 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3Subproblem 2
Set the factor '(49 + -1y)' equal to zero and attempt to solve: Simplifying 49 + -1y = 0 Solving 49 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1y = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1y = 0 + -49 -1y = 0 + -49 Combine like terms: 0 + -49 = -49 -1y = -49 Divide each side by '-1'. y = 49 Simplifying y = 49Solution
y = {-3, 49}
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