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Simplifying (ax + 2)(bx + 7) = 15x2 + CX + 14 Reorder the terms: (2 + ax)(bx + 7) = 15x2 + CX + 14 Reorder the terms: (2 + ax)(7 + bx) = 15x2 + CX + 14 Multiply (2 + ax) * (7 + bx) (2(7 + bx) + ax(7 + bx)) = 15x2 + CX + 14 ((7 * 2 + bx * 2) + ax(7 + bx)) = 15x2 + CX + 14 ((14 + 2bx) + ax(7 + bx)) = 15x2 + CX + 14 (14 + 2bx + (7 * ax + bx * ax)) = 15x2 + CX + 14 Reorder the terms: (14 + 2bx + (abx2 + 7ax)) = 15x2 + CX + 14 (14 + 2bx + (abx2 + 7ax)) = 15x2 + CX + 14 Reorder the terms: (14 + abx2 + 7ax + 2bx) = 15x2 + CX + 14 (14 + abx2 + 7ax + 2bx) = 15x2 + CX + 14 Reorder the terms: 14 + abx2 + 7ax + 2bx = 14 + CX + 15x2 Add '-14' to each side of the equation. 14 + abx2 + 7ax + -14 + 2bx = 14 + CX + -14 + 15x2 Reorder the terms: 14 + -14 + abx2 + 7ax + 2bx = 14 + CX + -14 + 15x2 Combine like terms: 14 + -14 = 0 0 + abx2 + 7ax + 2bx = 14 + CX + -14 + 15x2 abx2 + 7ax + 2bx = 14 + CX + -14 + 15x2 Reorder the terms: abx2 + 7ax + 2bx = 14 + -14 + CX + 15x2 Combine like terms: 14 + -14 = 0 abx2 + 7ax + 2bx = 0 + CX + 15x2 abx2 + 7ax + 2bx = CX + 15x2 Solving abx2 + 7ax + 2bx = CX + 15x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2bx' to each side of the equation. abx2 + 7ax + 2bx + -2bx = CX + -2bx + 15x2 Combine like terms: 2bx + -2bx = 0 abx2 + 7ax + 0 = CX + -2bx + 15x2 abx2 + 7ax = CX + -2bx + 15x2 Reorder the terms: -1CX + abx2 + 7ax + 2bx + -15x2 = CX + -2bx + 15x2 + -1CX + 2bx + -15x2 Reorder the terms: -1CX + abx2 + 7ax + 2bx + -15x2 = CX + -1CX + -2bx + 2bx + 15x2 + -15x2 Combine like terms: CX + -1CX = 0 -1CX + abx2 + 7ax + 2bx + -15x2 = 0 + -2bx + 2bx + 15x2 + -15x2 -1CX + abx2 + 7ax + 2bx + -15x2 = -2bx + 2bx + 15x2 + -15x2 Combine like terms: -2bx + 2bx = 0 -1CX + abx2 + 7ax + 2bx + -15x2 = 0 + 15x2 + -15x2 -1CX + abx2 + 7ax + 2bx + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -1CX + abx2 + 7ax + 2bx + -15x2 = 0 The solution to this equation could not be determined.
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