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Simplifying (2x + 1)(ax + b) = 6x2 + -5x2 + c Reorder the terms: (1 + 2x)(ax + b) = 6x2 + -5x2 + c Multiply (1 + 2x) * (ax + b) (1(ax + b) + 2x * (ax + b)) = 6x2 + -5x2 + c ((ax * 1 + b * 1) + 2x * (ax + b)) = 6x2 + -5x2 + c ((1ax + 1b) + 2x * (ax + b)) = 6x2 + -5x2 + c (1ax + 1b + (ax * 2x + b * 2x)) = 6x2 + -5x2 + c (1ax + 1b + (2ax2 + 2bx)) = 6x2 + -5x2 + c Reorder the terms: (1ax + 2ax2 + 1b + 2bx) = 6x2 + -5x2 + c (1ax + 2ax2 + 1b + 2bx) = 6x2 + -5x2 + c Reorder the terms: 1ax + 2ax2 + 1b + 2bx = c + 6x2 + -5x2 Combine like terms: 6x2 + -5x2 = 1x2 1ax + 2ax2 + 1b + 2bx = c + 1x2 Solving 1ax + 2ax2 + 1b + 2bx = c + 1x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 1ax + 2ax2 + 1b + -1b + 2bx = c + -1b + 1x2 Combine like terms: 1b + -1b = 0 1ax + 2ax2 + 0 + 2bx = c + -1b + 1x2 1ax + 2ax2 + 2bx = c + -1b + 1x2 Reorder the terms: 1ax + 2ax2 + 2bx = -1b + c + 1x2 Add '-2bx' to each side of the equation. 1ax + 2ax2 + 2bx + -2bx = -1b + c + -2bx + 1x2 Combine like terms: 2bx + -2bx = 0 1ax + 2ax2 + 0 = -1b + c + -2bx + 1x2 1ax + 2ax2 = -1b + c + -2bx + 1x2 Reorder the terms: 1ax + 2ax2 = -1b + -2bx + c + 1x2 Reorder the terms: 1ax + 2ax2 + b + 2bx + -1c + -1x2 = -1b + b + -2bx + 2bx + c + -1c + 1x2 + -1x2 Combine like terms: -1b + b = 0 1ax + 2ax2 + b + 2bx + -1c + -1x2 = 0 + -2bx + 2bx + c + -1c + 1x2 + -1x2 1ax + 2ax2 + b + 2bx + -1c + -1x2 = -2bx + 2bx + c + -1c + 1x2 + -1x2 Combine like terms: -2bx + 2bx = 0 1ax + 2ax2 + b + 2bx + -1c + -1x2 = 0 + c + -1c + 1x2 + -1x2 1ax + 2ax2 + b + 2bx + -1c + -1x2 = c + -1c + 1x2 + -1x2 Combine like terms: c + -1c = 0 1ax + 2ax2 + b + 2bx + -1c + -1x2 = 0 + 1x2 + -1x2 1ax + 2ax2 + b + 2bx + -1c + -1x2 = 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 1ax + 2ax2 + b + 2bx + -1c + -1x2 = 0 The solution to this equation could not be determined.
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