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Simplifying x * z + (ux + -2x)(uz + xd) = 0 Multiply x * z xz + (ux + -2x)(uz + xd) = 0 Reorder the terms: xz + (ux + -2x)(dx + uz) = 0 Multiply (ux + -2x) * (dx + uz) xz + (ux(dx + uz) + -2x * (dx + uz)) = 0 xz + ((dx * ux + uz * ux) + -2x * (dx + uz)) = 0 xz + ((dux2 + u2xz) + -2x * (dx + uz)) = 0 xz + (dux2 + u2xz + (dx * -2x + uz * -2x)) = 0 xz + (dux2 + u2xz + (-2dx2 + -2uxz)) = 0 Reorder the terms: xz + (dux2 + -2dx2 + -2uxz + u2xz) = 0 xz + (dux2 + -2dx2 + -2uxz + u2xz) = 0 Reorder the terms: dux2 + -2dx2 + -2uxz + u2xz + xz = 0 Solving dux2 + -2dx2 + -2uxz + u2xz + xz = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2uxz' to each side of the equation. dux2 + -2dx2 + -2uxz + u2xz + 2uxz + xz = 0 + 2uxz Reorder the terms: dux2 + -2dx2 + -2uxz + 2uxz + u2xz + xz = 0 + 2uxz Combine like terms: -2uxz + 2uxz = 0 dux2 + -2dx2 + 0 + u2xz + xz = 0 + 2uxz dux2 + -2dx2 + u2xz + xz = 0 + 2uxz Remove the zero: dux2 + -2dx2 + u2xz + xz = 2uxz Add '-1u2xz' to each side of the equation. dux2 + -2dx2 + u2xz + -1u2xz + xz = 2uxz + -1u2xz Combine like terms: u2xz + -1u2xz = 0 dux2 + -2dx2 + 0 + xz = 2uxz + -1u2xz dux2 + -2dx2 + xz = 2uxz + -1u2xz Add '-1xz' to each side of the equation. dux2 + -2dx2 + xz + -1xz = 2uxz + -1u2xz + -1xz Combine like terms: xz + -1xz = 0 dux2 + -2dx2 + 0 = 2uxz + -1u2xz + -1xz dux2 + -2dx2 = 2uxz + -1u2xz + -1xz Reorder the terms: dux2 + -2dx2 + -2uxz + u2xz + xz = 2uxz + -2uxz + -1u2xz + u2xz + -1xz + xz Combine like terms: 2uxz + -2uxz = 0 dux2 + -2dx2 + -2uxz + u2xz + xz = 0 + -1u2xz + u2xz + -1xz + xz dux2 + -2dx2 + -2uxz + u2xz + xz = -1u2xz + u2xz + -1xz + xz Combine like terms: -1u2xz + u2xz = 0 dux2 + -2dx2 + -2uxz + u2xz + xz = 0 + -1xz + xz dux2 + -2dx2 + -2uxz + u2xz + xz = -1xz + xz Combine like terms: -1xz + xz = 0 dux2 + -2dx2 + -2uxz + u2xz + xz = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(dux + -2dx + -2uz + u2z + z) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(dux + -2dx + -2uz + u2z + z)' equal to zero and attempt to solve: Simplifying dux + -2dx + -2uz + u2z + z = 0 Solving dux + -2dx + -2uz + u2z + z = 0 Move all terms containing d to the left, all other terms to the right. Add '2uz' to each side of the equation. dux + -2dx + -2uz + u2z + 2uz + z = 0 + 2uz Reorder the terms: dux + -2dx + -2uz + 2uz + u2z + z = 0 + 2uz Combine like terms: -2uz + 2uz = 0 dux + -2dx + 0 + u2z + z = 0 + 2uz dux + -2dx + u2z + z = 0 + 2uz Remove the zero: dux + -2dx + u2z + z = 2uz Add '-1u2z' to each side of the equation. dux + -2dx + u2z + -1u2z + z = 2uz + -1u2z Combine like terms: u2z + -1u2z = 0 dux + -2dx + 0 + z = 2uz + -1u2z dux + -2dx + z = 2uz + -1u2z Add '-1z' to each side of the equation. dux + -2dx + z + -1z = 2uz + -1u2z + -1z Combine like terms: z + -1z = 0 dux + -2dx + 0 = 2uz + -1u2z + -1z dux + -2dx = 2uz + -1u2z + -1z 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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