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Simplifying 10y2 + -10001y + 1000 = 0 Reorder the terms: 1000 + -10001y + 10y2 = 0 Solving 1000 + -10001y + 10y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -10y)(1000 + -1y) = 0Subproblem 1
Set the factor '(1 + -10y)' equal to zero and attempt to solve: Simplifying 1 + -10y = 0 Solving 1 + -10y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10y = 0 + -1 -10y = 0 + -1 Combine like terms: 0 + -1 = -1 -10y = -1 Divide each side by '-10'. y = 0.1 Simplifying y = 0.1Subproblem 2
Set the factor '(1000 + -1y)' equal to zero and attempt to solve: Simplifying 1000 + -1y = 0 Solving 1000 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + -1y = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -1y = 0 + -1000 -1y = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -1y = -1000 Divide each side by '-1'. y = 1000 Simplifying y = 1000Solution
y = {0.1, 1000}
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