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Simplifying 11025y + -1y3 = 210y + -2y2 Solving 11025y + -1y3 = 210y + -2y2 Solving for variable 'y'. Reorder the terms: 11025y + -210y + 2y2 + -1y3 = 210y + -2y2 + -210y + 2y2 Combine like terms: 11025y + -210y = 10815y 10815y + 2y2 + -1y3 = 210y + -2y2 + -210y + 2y2 Reorder the terms: 10815y + 2y2 + -1y3 = 210y + -210y + -2y2 + 2y2 Combine like terms: 210y + -210y = 0 10815y + 2y2 + -1y3 = 0 + -2y2 + 2y2 10815y + 2y2 + -1y3 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 10815y + 2y2 + -1y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(10815 + 2y + -1y2) = 0 Factor a trinomial. y((105 + -1y)(103 + y)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(105 + -1y)' equal to zero and attempt to solve: Simplifying 105 + -1y = 0 Solving 105 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + -1y = 0 + -105 Combine like terms: 105 + -105 = 0 0 + -1y = 0 + -105 -1y = 0 + -105 Combine like terms: 0 + -105 = -105 -1y = -105 Divide each side by '-1'. y = 105 Simplifying y = 105Subproblem 3
Set the factor '(103 + y)' equal to zero and attempt to solve: Simplifying 103 + y = 0 Solving 103 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-103' to each side of the equation. 103 + -103 + y = 0 + -103 Combine like terms: 103 + -103 = 0 0 + y = 0 + -103 y = 0 + -103 Combine like terms: 0 + -103 = -103 y = -103 Simplifying y = -103Solution
y = {0, 105, -103}
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