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Simplifying (2x + -6) * m(x + 3) * m = 2600 Reorder the terms: (-6 + 2x) * m(x + 3) * m = 2600 Reorder the terms: (-6 + 2x) * m(3 + x) * m = 2600 Reorder the terms for easier multiplication: m * m(-6 + 2x)(3 + x) = 2600 Multiply m * m m2(-6 + 2x)(3 + x) = 2600 Multiply (-6 + 2x) * (3 + x) m2(-6(3 + x) + 2x * (3 + x)) = 2600 m2((3 * -6 + x * -6) + 2x * (3 + x)) = 2600 m2((-18 + -6x) + 2x * (3 + x)) = 2600 m2(-18 + -6x + (3 * 2x + x * 2x)) = 2600 m2(-18 + -6x + (6x + 2x2)) = 2600 Combine like terms: -6x + 6x = 0 m2(-18 + 0 + 2x2) = 2600 m2(-18 + 2x2) = 2600 (-18 * m2 + 2x2 * m2) = 2600 (-18m2 + 2m2x2) = 2600 Solving -18m2 + 2m2x2 = 2600 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Reorder the terms: -2600 + -18m2 + 2m2x2 = 2600 + -2600 Combine like terms: 2600 + -2600 = 0 -2600 + -18m2 + 2m2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1300 + -9m2 + m2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1300 + -9m2 + m2x2)' equal to zero and attempt to solve: Simplifying -1300 + -9m2 + m2x2 = 0 Solving -1300 + -9m2 + m2x2 = 0 Move all terms containing m to the left, all other terms to the right. Add '1300' to each side of the equation. -1300 + -9m2 + 1300 + m2x2 = 0 + 1300 Reorder the terms: -1300 + 1300 + -9m2 + m2x2 = 0 + 1300 Combine like terms: -1300 + 1300 = 0 0 + -9m2 + m2x2 = 0 + 1300 -9m2 + m2x2 = 0 + 1300 Combine like terms: 0 + 1300 = 1300 -9m2 + m2x2 = 1300 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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