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Simplifying z = zr + -2zt3 Solving z = rz + -2t3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1rz' to each side of the equation. -1rz + z = rz + -1rz + -2t3z Combine like terms: rz + -1rz = 0 -1rz + z = 0 + -2t3z -1rz + z = -2t3z Add '2t3z' to each side of the equation. -1rz + 2t3z + z = -2t3z + 2t3z Combine like terms: -2t3z + 2t3z = 0 -1rz + 2t3z + z = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-1r + 2t3 + 1) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(-1r + 2t3 + 1)' equal to zero and attempt to solve: Simplifying -1r + 2t3 + 1 = 0 Reorder the terms: 1 + -1r + 2t3 = 0 Solving 1 + -1r + 2t3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1r + -1 + 2t3 = 0 + -1 Reorder the terms: 1 + -1 + -1r + 2t3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1r + 2t3 = 0 + -1 -1r + 2t3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1r + 2t3 = -1 Add 'r' to each side of the equation. -1r + r + 2t3 = -1 + r Combine like terms: -1r + r = 0 0 + 2t3 = -1 + r 2t3 = -1 + r Add '-2t3' to each side of the equation. 2t3 + -2t3 = -1 + r + -2t3 Combine like terms: 2t3 + -2t3 = 0 0 = -1 + r + -2t3 Simplifying 0 = -1 + r + -2t3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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