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Simplifying (cx2 + 3x + -10)(x + 2) = 0 Reorder the terms: (-10 + cx2 + 3x)(x + 2) = 0 Reorder the terms: (-10 + cx2 + 3x)(2 + x) = 0 Multiply (-10 + cx2 + 3x) * (2 + x) (-10(2 + x) + cx2(2 + x) + 3x * (2 + x)) = 0 ((2 * -10 + x * -10) + cx2(2 + x) + 3x * (2 + x)) = 0 ((-20 + -10x) + cx2(2 + x) + 3x * (2 + x)) = 0 (-20 + -10x + (2 * cx2 + x * cx2) + 3x * (2 + x)) = 0 (-20 + -10x + (2cx2 + cx3) + 3x * (2 + x)) = 0 (-20 + -10x + 2cx2 + cx3 + (2 * 3x + x * 3x)) = 0 (-20 + -10x + 2cx2 + cx3 + (6x + 3x2)) = 0 Reorder the terms: (-20 + 2cx2 + cx3 + -10x + 6x + 3x2) = 0 Combine like terms: -10x + 6x = -4x (-20 + 2cx2 + cx3 + -4x + 3x2) = 0 Solving -20 + 2cx2 + cx3 + -4x + 3x2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 2cx2 + cx3 + -4x + 20 + 3x2 = 0 + 20 Reorder the terms: -20 + 20 + 2cx2 + cx3 + -4x + 3x2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 2cx2 + cx3 + -4x + 3x2 = 0 + 20 2cx2 + cx3 + -4x + 3x2 = 0 + 20 Combine like terms: 0 + 20 = 20 2cx2 + cx3 + -4x + 3x2 = 20 Add '4x' to each side of the equation. 2cx2 + cx3 + -4x + 4x + 3x2 = 20 + 4x Combine like terms: -4x + 4x = 0 2cx2 + cx3 + 0 + 3x2 = 20 + 4x 2cx2 + cx3 + 3x2 = 20 + 4x Add '-3x2' to each side of the equation. 2cx2 + cx3 + 3x2 + -3x2 = 20 + 4x + -3x2 Combine like terms: 3x2 + -3x2 = 0 2cx2 + cx3 + 0 = 20 + 4x + -3x2 2cx2 + cx3 = 20 + 4x + -3x2 Reorder the terms: -20 + 2cx2 + cx3 + -4x + 3x2 = 20 + 4x + -3x2 + -20 + -4x + 3x2 Reorder the terms: -20 + 2cx2 + cx3 + -4x + 3x2 = 20 + -20 + 4x + -4x + -3x2 + 3x2 Combine like terms: 20 + -20 = 0 -20 + 2cx2 + cx3 + -4x + 3x2 = 0 + 4x + -4x + -3x2 + 3x2 -20 + 2cx2 + cx3 + -4x + 3x2 = 4x + -4x + -3x2 + 3x2 Combine like terms: 4x + -4x = 0 -20 + 2cx2 + cx3 + -4x + 3x2 = 0 + -3x2 + 3x2 -20 + 2cx2 + cx3 + -4x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -20 + 2cx2 + cx3 + -4x + 3x2 = 0 The solution to this equation could not be determined.
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