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Simplifying x2 + 30x = 0.04x3 + -1.2x2 + 20x + 50 Reorder the terms: 30x + x2 = 0.04x3 + -1.2x2 + 20x + 50 Reorder the terms: 30x + x2 = 50 + 20x + -1.2x2 + 0.04x3 Solving 30x + x2 = 50 + 20x + -1.2x2 + 0.04x3 Solving for variable 'x'. Reorder the terms: -50 + 30x + -20x + x2 + 1.2x2 + -0.04x3 = 50 + 20x + -1.2x2 + 0.04x3 + -50 + -20x + 1.2x2 + -0.04x3 Combine like terms: 30x + -20x = 10x -50 + 10x + x2 + 1.2x2 + -0.04x3 = 50 + 20x + -1.2x2 + 0.04x3 + -50 + -20x + 1.2x2 + -0.04x3 Combine like terms: x2 + 1.2x2 = 2.2x2 -50 + 10x + 2.2x2 + -0.04x3 = 50 + 20x + -1.2x2 + 0.04x3 + -50 + -20x + 1.2x2 + -0.04x3 Reorder the terms: -50 + 10x + 2.2x2 + -0.04x3 = 50 + -50 + 20x + -20x + -1.2x2 + 1.2x2 + 0.04x3 + -0.04x3 Combine like terms: 50 + -50 = 0 -50 + 10x + 2.2x2 + -0.04x3 = 0 + 20x + -20x + -1.2x2 + 1.2x2 + 0.04x3 + -0.04x3 -50 + 10x + 2.2x2 + -0.04x3 = 20x + -20x + -1.2x2 + 1.2x2 + 0.04x3 + -0.04x3 Combine like terms: 20x + -20x = 0 -50 + 10x + 2.2x2 + -0.04x3 = 0 + -1.2x2 + 1.2x2 + 0.04x3 + -0.04x3 -50 + 10x + 2.2x2 + -0.04x3 = -1.2x2 + 1.2x2 + 0.04x3 + -0.04x3 Combine like terms: -1.2x2 + 1.2x2 = 0.0 -50 + 10x + 2.2x2 + -0.04x3 = 0.0 + 0.04x3 + -0.04x3 -50 + 10x + 2.2x2 + -0.04x3 = 0.04x3 + -0.04x3 Combine like terms: 0.04x3 + -0.04x3 = 0.00 -50 + 10x + 2.2x2 + -0.04x3 = 0.00 The solution to this equation could not be determined.
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