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Simplifying 5z3 + 9x2 + -2z = 0 Reorder the terms: 9x2 + -2z + 5z3 = 0 Solving 9x2 + -2z + 5z3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2z' to each side of the equation. 9x2 + -2z + 2z + 5z3 = 0 + 2z Combine like terms: -2z + 2z = 0 9x2 + 0 + 5z3 = 0 + 2z 9x2 + 5z3 = 0 + 2z Remove the zero: 9x2 + 5z3 = 2z Add '-5z3' to each side of the equation. 9x2 + 5z3 + -5z3 = 2z + -5z3 Combine like terms: 5z3 + -5z3 = 0 9x2 + 0 = 2z + -5z3 9x2 = 2z + -5z3 Divide each side by '9'. x2 = 0.2222222222z + -0.5555555556z3 Simplifying x2 = 0.2222222222z + -0.5555555556z3 Reorder the terms: x2 + -0.2222222222z + 0.5555555556z3 = 0.2222222222z + -0.2222222222z + -0.5555555556z3 + 0.5555555556z3 Combine like terms: 0.2222222222z + -0.2222222222z = 0.0000000000 x2 + -0.2222222222z + 0.5555555556z3 = 0.0000000000 + -0.5555555556z3 + 0.5555555556z3 x2 + -0.2222222222z + 0.5555555556z3 = -0.5555555556z3 + 0.5555555556z3 Combine like terms: -0.5555555556z3 + 0.5555555556z3 = 0.0000000000 x2 + -0.2222222222z + 0.5555555556z3 = 0.0000000000 The solution to this equation could not be determined.
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