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Simplifying X3y2 + 3X2y + -28X = 0 Reorder the terms: -28X + 3yX2 + y2X3 = 0 Solving -28X + 3yX2 + y2X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(-28 + 3yX + y2X2) = 0 Factor a trinomial. X((-7 + -1yX)(4 + -1yX)) = 0Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(-7 + -1yX)' equal to zero and attempt to solve: Simplifying -7 + -1yX = 0 Solving -7 + -1yX = 0 Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1yX = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1yX = 0 + 7 -1yX = 0 + 7 Combine like terms: 0 + 7 = 7 -1yX = 7 Divide each side by '-1y'. X = -7y-1 Simplifying X = -7y-1Subproblem 3
Set the factor '(4 + -1yX)' equal to zero and attempt to solve: Simplifying 4 + -1yX = 0 Solving 4 + -1yX = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1yX = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1yX = 0 + -4 -1yX = 0 + -4 Combine like terms: 0 + -4 = -4 -1yX = -4 Divide each side by '-1y'. X = 4y-1 Simplifying X = 4y-1Solution
X = {0, -7y-1, 4y-1}
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