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Simplifying 5z4 + 30z3 + 45x2 = 0 Reorder the terms: 45x2 + 30z3 + 5z4 = 0 Solving 45x2 + 30z3 + 5z4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30z3' to each side of the equation. 45x2 + 30z3 + -30z3 + 5z4 = 0 + -30z3 Combine like terms: 30z3 + -30z3 = 0 45x2 + 0 + 5z4 = 0 + -30z3 45x2 + 5z4 = 0 + -30z3 Remove the zero: 45x2 + 5z4 = -30z3 Add '-5z4' to each side of the equation. 45x2 + 5z4 + -5z4 = -30z3 + -5z4 Combine like terms: 5z4 + -5z4 = 0 45x2 + 0 = -30z3 + -5z4 45x2 = -30z3 + -5z4 Divide each side by '45'. x2 = -0.6666666667z3 + -0.1111111111z4 Simplifying x2 = -0.6666666667z3 + -0.1111111111z4 Reorder the terms: x2 + 0.6666666667z3 + 0.1111111111z4 = -0.6666666667z3 + 0.6666666667z3 + -0.1111111111z4 + 0.1111111111z4 Combine like terms: -0.6666666667z3 + 0.6666666667z3 = 0.0000000000 x2 + 0.6666666667z3 + 0.1111111111z4 = 0.0000000000 + -0.1111111111z4 + 0.1111111111z4 x2 + 0.6666666667z3 + 0.1111111111z4 = -0.1111111111z4 + 0.1111111111z4 Combine like terms: -0.1111111111z4 + 0.1111111111z4 = 0.0000000000 x2 + 0.6666666667z3 + 0.1111111111z4 = 0.0000000000 The solution to this equation could not be determined.
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