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Simplifying x[x + -3(6 + -3x) + 2c] = 6(2x2 + -1) x[x + (6 * -3 + -3x * -3) + 2c] = 6(2x2 + -1) x[x + (-18 + 9x) + 2c] = 6(2x2 + -1) Reorder the terms: x[-18 + 2c + x + 9x] = 6(2x2 + -1) Combine like terms: x + 9x = 10x x[-18 + 2c + 10x] = 6(2x2 + -1) [-18 * x + 2c * x + 10x * x] = 6(2x2 + -1) Reorder the terms: [2cx + -18x + 10x2] = 6(2x2 + -1) [2cx + -18x + 10x2] = 6(2x2 + -1) Reorder the terms: 2cx + -18x + 10x2 = 6(-1 + 2x2) 2cx + -18x + 10x2 = (-1 * 6 + 2x2 * 6) 2cx + -18x + 10x2 = (-6 + 12x2) Solving 2cx + -18x + 10x2 = -6 + 12x2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18x' to each side of the equation. 2cx + -18x + 18x + 10x2 = -6 + 18x + 12x2 Combine like terms: -18x + 18x = 0 2cx + 0 + 10x2 = -6 + 18x + 12x2 2cx + 10x2 = -6 + 18x + 12x2 Add '-10x2' to each side of the equation. 2cx + 10x2 + -10x2 = -6 + 18x + 12x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 2cx + 0 = -6 + 18x + 12x2 + -10x2 2cx = -6 + 18x + 12x2 + -10x2 Combine like terms: 12x2 + -10x2 = 2x2 2cx = -6 + 18x + 2x2 Divide each side by '2x'. c = -3x-1 + 9 + x Simplifying c = -3x-1 + 9 + x Reorder the terms: c = 9 + -3x-1 + x
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