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Simplifying 6y + y2 + 9 = 49 Reorder the terms: 9 + 6y + y2 = 49 Solving 9 + 6y + y2 = 49 Solving for variable 'y'. Reorder the terms: 9 + -49 + 6y + y2 = 49 + -49 Combine like terms: 9 + -49 = -40 -40 + 6y + y2 = 49 + -49 Combine like terms: 49 + -49 = 0 -40 + 6y + y2 = 0 Factor a trinomial. (-10 + -1y)(4 + -1y) = 0Subproblem 1
Set the factor '(-10 + -1y)' equal to zero and attempt to solve: Simplifying -10 + -1y = 0 Solving -10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1y = 0 + 10 -1y = 0 + 10 Combine like terms: 0 + 10 = 10 -1y = 10 Divide each side by '-1'. y = -10 Simplifying y = -10Subproblem 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 = {-10, 4}
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