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Simplifying expand(5x + -1y)(x + -3y) = 0 Multiply (5x + -1y) * (x + -3y) adenpx(5x * (x + -3y) + -1y * (x + -3y)) = 0 adenpx((x * 5x + -3y * 5x) + -1y * (x + -3y)) = 0 Reorder the terms: adenpx((-15xy + 5x2) + -1y * (x + -3y)) = 0 adenpx((-15xy + 5x2) + -1y * (x + -3y)) = 0 adenpx(-15xy + 5x2 + (x * -1y + -3y * -1y)) = 0 adenpx(-15xy + 5x2 + (-1xy + 3y2)) = 0 Reorder the terms: adenpx(-15xy + -1xy + 5x2 + 3y2) = 0 Combine like terms: -15xy + -1xy = -16xy adenpx(-16xy + 5x2 + 3y2) = 0 (-16xy * adenpx + 5x2 * adenpx + 3y2 * adenpx) = 0 Reorder the terms: (3adenpxy2 + -16adenpx2y + 5adenpx3) = 0 (3adenpxy2 + -16adenpx2y + 5adenpx3) = 0 Solving 3adenpxy2 + -16adenpx2y + 5adenpx3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'adenpx'. adenpx(3y2 + -16xy + 5x2) = 0 Factor a trinomial. adenpx((y + -5x)(3y + -1x)) = 0Subproblem 1
Set the factor 'adenpx' equal to zero and attempt to solve: Simplifying adenpx = 0 Solving adenpx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adenpx = 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 '(y + -5x)' equal to zero and attempt to solve: Simplifying y + -5x = 0 Reorder the terms: -5x + y = 0 Solving -5x + y = 0 Move all terms containing a to the left, all other terms to the right. Add '5x' to each side of the equation. -5x + 5x + y = 0 + 5x Combine like terms: -5x + 5x = 0 0 + y = 0 + 5x y = 0 + 5x Remove the zero: y = 5x Add '-1y' to each side of the equation. y + -1y = 5x + -1y Combine like terms: y + -1y = 0 0 = 5x + -1y Simplifying 0 = 5x + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3y + -1x)' equal to zero and attempt to solve: Simplifying 3y + -1x = 0 Reorder the terms: -1x + 3y = 0 Solving -1x + 3y = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x + 3y = 0 + x Combine like terms: -1x + x = 0 0 + 3y = 0 + x 3y = 0 + x Remove the zero: 3y = x Add '-3y' to each side of the equation. 3y + -3y = x + -3y Combine like terms: 3y + -3y = 0 0 = x + -3y Simplifying 0 = x + -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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