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Simplifying (-1x3y2 + 2) + (5x3y2 + -6) = z Reorder the terms: (2 + -1x3y2) + (5x3y2 + -6) = z Remove parenthesis around (2 + -1x3y2) 2 + -1x3y2 + (5x3y2 + -6) = z Reorder the terms: 2 + -1x3y2 + (-6 + 5x3y2) = z Remove parenthesis around (-6 + 5x3y2) 2 + -1x3y2 + -6 + 5x3y2 = z Reorder the terms: 2 + -6 + -1x3y2 + 5x3y2 = z Combine like terms: 2 + -6 = -4 -4 + -1x3y2 + 5x3y2 = z Combine like terms: -1x3y2 + 5x3y2 = 4x3y2 -4 + 4x3y2 = z Solving -4 + 4x3y2 = z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4x3y2 = 4 + z Combine like terms: -4 + 4 = 0 0 + 4x3y2 = 4 + z 4x3y2 = 4 + z Divide each side by '4y2'. x3 = y-2 + 0.25y-2z Simplifying x3 = y-2 + 0.25y-2z Reorder the terms: x3 + -1y-2 + -0.25y-2z = y-2 + -1y-2 + 0.25y-2z + -0.25y-2z Combine like terms: y-2 + -1y-2 = 0 x3 + -1y-2 + -0.25y-2z = 0 + 0.25y-2z + -0.25y-2z x3 + -1y-2 + -0.25y-2z = 0.25y-2z + -0.25y-2z Combine like terms: 0.25y-2z + -0.25y-2z = 0.00 x3 + -1y-2 + -0.25y-2z = 0.00 Factor out the Greatest Common Factor (GCF), 'y-2'. y-2(x3y2 + -1 + -0.25z) = 0.00Subproblem 1
Set the factor 'y-2' equal to zero and attempt to solve: Simplifying y-2 = 0 Solving y-2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-2' to each side of the equation. y-2 + -1y-2 = 0 + -1y-2 Remove the zero: 0 = -1y-2 Simplifying 0 = -1y-2 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 '(x3y2 + -1 + -0.25z)' equal to zero and attempt to solve: Simplifying x3y2 + -1 + -0.25z = 0 Reorder the terms: -1 + x3y2 + -0.25z = 0 Solving -1 + x3y2 + -0.25z = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + x3y2 + 1 + -0.25z = 0 + 1 Reorder the terms: -1 + 1 + x3y2 + -0.25z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x3y2 + -0.25z = 0 + 1 x3y2 + -0.25z = 0 + 1 Combine like terms: 0 + 1 = 1 x3y2 + -0.25z = 1 Add '0.25z' to each side of the equation. x3y2 + -0.25z + 0.25z = 1 + 0.25z Combine like terms: -0.25z + 0.25z = 0.00 x3y2 + 0.00 = 1 + 0.25z x3y2 = 1 + 0.25z Divide each side by 'y2'. x3 = y-2 + 0.25y-2z Simplifying x3 = y-2 + 0.25y-2z 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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