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Simplifying 2y2 + 6y + -20 + -1y2 + -5y + -90 = 0 Reorder the terms: -20 + -90 + 6y + -5y + 2y2 + -1y2 = 0 Combine like terms: -20 + -90 = -110 -110 + 6y + -5y + 2y2 + -1y2 = 0 Combine like terms: 6y + -5y = 1y -110 + 1y + 2y2 + -1y2 = 0 Combine like terms: 2y2 + -1y2 = 1y2 -110 + 1y + 1y2 = 0 Solving -110 + 1y + 1y2 = 0 Solving for variable 'y'. Factor a trinomial. (-11 + -1y)(10 + -1y) = 0Subproblem 1
Set the factor '(-11 + -1y)' equal to zero and attempt to solve: Simplifying -11 + -1y = 0 Solving -11 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1y = 0 + 11 -1y = 0 + 11 Combine like terms: 0 + 11 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11Subproblem 2
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 = 10Solution
y = {-11, 10}
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