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Simplifying x5 + 3x4y + -4x3y2 = 0 Reorder the terms: -4x3y2 + 3x4y + x5 = 0 Solving -4x3y2 + 3x4y + x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(-4y2 + 3xy + x2) = 0 Factor a trinomial. x3((-4y + -1x)(y + -1x)) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4y + -1x)' equal to zero and attempt to solve: Simplifying -4y + -1x = 0 Reorder the terms: -1x + -4y = 0 Solving -1x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. -1x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 -1x + 0 = 0 + 4y -1x = 0 + 4y Remove the zero: -1x = 4y Divide each side by '-1'. x = -4y Simplifying x = -4ySubproblem 3
Set the factor '(y + -1x)' equal to zero and attempt to solve: Simplifying y + -1x = 0 Reorder the terms: -1x + y = 0 Solving -1x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -1x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -1x + 0 = 0 + -1y -1x = 0 + -1y Remove the zero: -1x = -1y Divide each side by '-1'. x = y Simplifying x = ySolution
x = {-4y, y}
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