(2x-6)m(x+3)m=2600

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Solution for (2x-6)m(x+3)m=2600 equation:


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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