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Simplifying 5(x3 + -20X2 + 51x + 216) = 0 Reorder the terms: 5(216 + -20X2 + 51x + x3) = 0 (216 * 5 + -20X2 * 5 + 51x * 5 + x3 * 5) = 0 (1080 + -100X2 + 255x + 5x3) = 0 Solving 1080 + -100X2 + 255x + 5x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1080' to each side of the equation. 1080 + -100X2 + 255x + -1080 + 5x3 = 0 + -1080 Reorder the terms: 1080 + -1080 + -100X2 + 255x + 5x3 = 0 + -1080 Combine like terms: 1080 + -1080 = 0 0 + -100X2 + 255x + 5x3 = 0 + -1080 -100X2 + 255x + 5x3 = 0 + -1080 Combine like terms: 0 + -1080 = -1080 -100X2 + 255x + 5x3 = -1080 Add '-255x' to each side of the equation. -100X2 + 255x + -255x + 5x3 = -1080 + -255x Combine like terms: 255x + -255x = 0 -100X2 + 0 + 5x3 = -1080 + -255x -100X2 + 5x3 = -1080 + -255x Add '-5x3' to each side of the equation. -100X2 + 5x3 + -5x3 = -1080 + -255x + -5x3 Combine like terms: 5x3 + -5x3 = 0 -100X2 + 0 = -1080 + -255x + -5x3 -100X2 = -1080 + -255x + -5x3 Divide each side by '-100'. X2 = 10.8 + 2.55x + 0.05x3 Simplifying X2 = 10.8 + 2.55x + 0.05x3 Reorder the terms: -10.8 + X2 + -2.55x + -0.05x3 = 10.8 + 2.55x + 0.05x3 + -10.8 + -2.55x + -0.05x3 Reorder the terms: -10.8 + X2 + -2.55x + -0.05x3 = 10.8 + -10.8 + 2.55x + -2.55x + 0.05x3 + -0.05x3 Combine like terms: 10.8 + -10.8 = 0.0 -10.8 + X2 + -2.55x + -0.05x3 = 0.0 + 2.55x + -2.55x + 0.05x3 + -0.05x3 -10.8 + X2 + -2.55x + -0.05x3 = 2.55x + -2.55x + 0.05x3 + -0.05x3 Combine like terms: 2.55x + -2.55x = 0.00 -10.8 + X2 + -2.55x + -0.05x3 = 0.00 + 0.05x3 + -0.05x3 -10.8 + X2 + -2.55x + -0.05x3 = 0.05x3 + -0.05x3 Combine like terms: 0.05x3 + -0.05x3 = 0.00 -10.8 + X2 + -2.55x + -0.05x3 = 0.00 The solution to this equation could not be determined.
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