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Simplifying 91 = (2x + 3) * m(x + 2) * m Reorder the terms: 91 = (3 + 2x) * m(x + 2) * m Reorder the terms: 91 = (3 + 2x) * m(2 + x) * m Reorder the terms for easier multiplication: 91 = m * m(3 + 2x)(2 + x) Multiply m * m 91 = m2(3 + 2x)(2 + x) Multiply (3 + 2x) * (2 + x) 91 = m2(3(2 + x) + 2x * (2 + x)) 91 = m2((2 * 3 + x * 3) + 2x * (2 + x)) 91 = m2((6 + 3x) + 2x * (2 + x)) 91 = m2(6 + 3x + (2 * 2x + x * 2x)) 91 = m2(6 + 3x + (4x + 2x2)) Combine like terms: 3x + 4x = 7x 91 = m2(6 + 7x + 2x2) 91 = (6 * m2 + 7x * m2 + 2x2 * m2) 91 = (6m2 + 7m2x + 2m2x2) Solving 91 = 6m2 + 7m2x + 2m2x2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m2' to each side of the equation. 91 + -6m2 = 6m2 + 7m2x + -6m2 + 2m2x2 Reorder the terms: 91 + -6m2 = 6m2 + -6m2 + 7m2x + 2m2x2 Combine like terms: 6m2 + -6m2 = 0 91 + -6m2 = 0 + 7m2x + 2m2x2 91 + -6m2 = 7m2x + 2m2x2 Add '-7m2x' to each side of the equation. 91 + -6m2 + -7m2x = 7m2x + -7m2x + 2m2x2 Combine like terms: 7m2x + -7m2x = 0 91 + -6m2 + -7m2x = 0 + 2m2x2 91 + -6m2 + -7m2x = 2m2x2 Add '-2m2x2' to each side of the equation. 91 + -6m2 + -7m2x + -2m2x2 = 2m2x2 + -2m2x2 Combine like terms: 2m2x2 + -2m2x2 = 0 91 + -6m2 + -7m2x + -2m2x2 = 0 Add '-91' to each side of the equation. 91 + -6m2 + -7m2x + -91 + -2m2x2 = 0 + -91 Reorder the terms: 91 + -91 + -6m2 + -7m2x + -2m2x2 = 0 + -91 Combine like terms: 91 + -91 = 0 0 + -6m2 + -7m2x + -2m2x2 = 0 + -91 -6m2 + -7m2x + -2m2x2 = 0 + -91 Combine like terms: 0 + -91 = -91 -6m2 + -7m2x + -2m2x2 = -91 Reorder the terms: 91 + -6m2 + -7m2x + -2m2x2 = -91 + 91 Combine like terms: -91 + 91 = 0 91 + -6m2 + -7m2x + -2m2x2 = 0 The solution to this equation could not be determined.
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