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Simplifying -2500 + 100x + 100x2 + 100n3 + 2100x4 = 0 Reorder the terms: -2500 + 100n3 + 100x + 100x2 + 2100x4 = 0 Solving -2500 + 100n3 + 100x + 100x2 + 2100x4 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2500' to each side of the equation. -2500 + 100n3 + 100x + 100x2 + 2500 + 2100x4 = 0 + 2500 Reorder the terms: -2500 + 2500 + 100n3 + 100x + 100x2 + 2100x4 = 0 + 2500 Combine like terms: -2500 + 2500 = 0 0 + 100n3 + 100x + 100x2 + 2100x4 = 0 + 2500 100n3 + 100x + 100x2 + 2100x4 = 0 + 2500 Combine like terms: 0 + 2500 = 2500 100n3 + 100x + 100x2 + 2100x4 = 2500 Add '-100x' to each side of the equation. 100n3 + 100x + 100x2 + -100x + 2100x4 = 2500 + -100x Reorder the terms: 100n3 + 100x + -100x + 100x2 + 2100x4 = 2500 + -100x Combine like terms: 100x + -100x = 0 100n3 + 0 + 100x2 + 2100x4 = 2500 + -100x 100n3 + 100x2 + 2100x4 = 2500 + -100x Add '-100x2' to each side of the equation. 100n3 + 100x2 + -100x2 + 2100x4 = 2500 + -100x + -100x2 Combine like terms: 100x2 + -100x2 = 0 100n3 + 0 + 2100x4 = 2500 + -100x + -100x2 100n3 + 2100x4 = 2500 + -100x + -100x2 Add '-2100x4' to each side of the equation. 100n3 + 2100x4 + -2100x4 = 2500 + -100x + -100x2 + -2100x4 Combine like terms: 2100x4 + -2100x4 = 0 100n3 + 0 = 2500 + -100x + -100x2 + -2100x4 100n3 = 2500 + -100x + -100x2 + -2100x4 Divide each side by '100'. n3 = 25 + -1x + -1x2 + -21x4 Simplifying n3 = 25 + -1x + -1x2 + -21x4 Reorder the terms: -25 + n3 + x + x2 + 21x4 = 25 + -1x + -1x2 + -21x4 + -25 + x + x2 + 21x4 Reorder the terms: -25 + n3 + x + x2 + 21x4 = 25 + -25 + -1x + x + -1x2 + x2 + -21x4 + 21x4 Combine like terms: 25 + -25 = 0 -25 + n3 + x + x2 + 21x4 = 0 + -1x + x + -1x2 + x2 + -21x4 + 21x4 -25 + n3 + x + x2 + 21x4 = -1x + x + -1x2 + x2 + -21x4 + 21x4 Combine like terms: -1x + x = 0 -25 + n3 + x + x2 + 21x4 = 0 + -1x2 + x2 + -21x4 + 21x4 -25 + n3 + x + x2 + 21x4 = -1x2 + x2 + -21x4 + 21x4 Combine like terms: -1x2 + x2 = 0 -25 + n3 + x + x2 + 21x4 = 0 + -21x4 + 21x4 -25 + n3 + x + x2 + 21x4 = -21x4 + 21x4 Combine like terms: -21x4 + 21x4 = 0 -25 + n3 + x + x2 + 21x4 = 0 The solution to this equation could not be determined.
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