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Simplifying 4y2 + -3000 + -20y = 0 Reorder the terms: -3000 + -20y + 4y2 = 0 Solving -3000 + -20y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(-750 + -5y + y2) = 0 Factor a trinomial. 4((-25 + -1y)(30 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-25 + -1y)' equal to zero and attempt to solve: Simplifying -25 + -1y = 0 Solving -25 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1y = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1y = 0 + 25 -1y = 0 + 25 Combine like terms: 0 + 25 = 25 -1y = 25 Divide each side by '-1'. y = -25 Simplifying y = -25Subproblem 2
Set the factor '(30 + -1y)' equal to zero and attempt to solve: Simplifying 30 + -1y = 0 Solving 30 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = 0 + -30 -1y = 0 + -30 Combine like terms: 0 + -30 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30Solution
y = {-25, 30}
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