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Simplifying (2x + c)(cx + 5) = 6x + d Reorder the terms: (c + 2x)(cx + 5) = 6x + d Reorder the terms: (c + 2x)(5 + cx) = 6x + d Multiply (c + 2x) * (5 + cx) (c(5 + cx) + 2x * (5 + cx)) = 6x + d ((5 * c + cx * c) + 2x * (5 + cx)) = 6x + d ((5c + c2x) + 2x * (5 + cx)) = 6x + d (5c + c2x + (5 * 2x + cx * 2x)) = 6x + d Reorder the terms: (5c + c2x + (2cx2 + 10x)) = 6x + d (5c + c2x + (2cx2 + 10x)) = 6x + d Reorder the terms: (5c + 2cx2 + c2x + 10x) = 6x + d (5c + 2cx2 + c2x + 10x) = 6x + d Reorder the terms: 5c + 2cx2 + c2x + 10x = d + 6x Solving 5c + 2cx2 + c2x + 10x = d + 6x Solving for variable 'c'. Reorder the terms: 5c + 2cx2 + c2x + -1d + 10x + -6x = d + 6x + -1d + -6x Combine like terms: 10x + -6x = 4x 5c + 2cx2 + c2x + -1d + 4x = d + 6x + -1d + -6x Reorder the terms: 5c + 2cx2 + c2x + -1d + 4x = d + -1d + 6x + -6x Combine like terms: d + -1d = 0 5c + 2cx2 + c2x + -1d + 4x = 0 + 6x + -6x 5c + 2cx2 + c2x + -1d + 4x = 6x + -6x Combine like terms: 6x + -6x = 0 5c + 2cx2 + c2x + -1d + 4x = 0 The solution to this equation could not be determined.
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