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Simplifying x5 + 3x4c + 2x3 + 2x2 + 6x + 4 = 0 Reorder the terms: 4 + 3cx4 + 6x + 2x2 + 2x3 + x5 = 0 Solving 4 + 3cx4 + 6x + 2x2 + 2x3 + x5 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3cx4 + 6x + 2x2 + 2x3 + -4 + x5 = 0 + -4 Reorder the terms: 4 + -4 + 3cx4 + 6x + 2x2 + 2x3 + x5 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3cx4 + 6x + 2x2 + 2x3 + x5 = 0 + -4 3cx4 + 6x + 2x2 + 2x3 + x5 = 0 + -4 Combine like terms: 0 + -4 = -4 3cx4 + 6x + 2x2 + 2x3 + x5 = -4 Add '-6x' to each side of the equation. 3cx4 + 6x + 2x2 + 2x3 + -6x + x5 = -4 + -6x Reorder the terms: 3cx4 + 6x + -6x + 2x2 + 2x3 + x5 = -4 + -6x Combine like terms: 6x + -6x = 0 3cx4 + 0 + 2x2 + 2x3 + x5 = -4 + -6x 3cx4 + 2x2 + 2x3 + x5 = -4 + -6x Add '-2x2' to each side of the equation. 3cx4 + 2x2 + 2x3 + -2x2 + x5 = -4 + -6x + -2x2 Reorder the terms: 3cx4 + 2x2 + -2x2 + 2x3 + x5 = -4 + -6x + -2x2 Combine like terms: 2x2 + -2x2 = 0 3cx4 + 0 + 2x3 + x5 = -4 + -6x + -2x2 3cx4 + 2x3 + x5 = -4 + -6x + -2x2 Add '-2x3' to each side of the equation. 3cx4 + 2x3 + -2x3 + x5 = -4 + -6x + -2x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 3cx4 + 0 + x5 = -4 + -6x + -2x2 + -2x3 3cx4 + x5 = -4 + -6x + -2x2 + -2x3 Add '-1x5' to each side of the equation. 3cx4 + x5 + -1x5 = -4 + -6x + -2x2 + -2x3 + -1x5 Combine like terms: x5 + -1x5 = 0 3cx4 + 0 = -4 + -6x + -2x2 + -2x3 + -1x5 3cx4 = -4 + -6x + -2x2 + -2x3 + -1x5 Divide each side by '3x4'. c = -1.333333333x-4 + -2x-3 + -0.6666666667x-2 + -0.6666666667x-1 + -0.3333333333x Simplifying c = -1.333333333x-4 + -2x-3 + -0.6666666667x-2 + -0.6666666667x-1 + -0.3333333333x
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