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Simplifying X4Y + -7X3Y + 49X2Y = 0 Reorder the terms: 49X2Y + -7X3Y + X4Y = 0 Solving 49X2Y + -7X3Y + X4Y = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X2Y'. X2Y(49 + -7X + X2) = 0Subproblem 1
Set the factor 'X2Y' equal to zero and attempt to solve: Simplifying X2Y = 0 Solving X2Y = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X2Y = 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 '(49 + -7X + X2)' equal to zero and attempt to solve: Simplifying 49 + -7X + X2 = 0 Solving 49 + -7X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + -7X + -49 + X2 = 0 + -49 Reorder the terms: 49 + -49 + -7X + X2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -7X + X2 = 0 + -49 -7X + X2 = 0 + -49 Combine like terms: 0 + -49 = -49 -7X + X2 = -49 The X term is -7X. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7X + 12.25 + X2 = -49 + 12.25 Reorder the terms: 12.25 + -7X + X2 = -49 + 12.25 Combine like terms: -49 + 12.25 = -36.75 12.25 + -7X + X2 = -36.75 Factor a perfect square on the left side: (X + -3.5)(X + -3.5) = -36.75 Can't calculate square root of the right side. 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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