10xm-3x(2xm-9)=9x(m-1)+1

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Solution for 10xm-3x(2xm-9)=9x(m-1)+1 equation: 


Simplifying
10xm + -3x(2xm + -9) = 9x(m + -1) + 1

Reorder the terms:
10mx + -3x(-9 + 2mx) = 9x(m + -1) + 1
10mx + (-9 * -3x + 2mx * -3x) = 9x(m + -1) + 1

Reorder the terms:
10mx + (-6mx2 + 27x) = 9x(m + -1) + 1
10mx + (-6mx2 + 27x) = 9x(m + -1) + 1

Reorder the terms:
10mx + -6mx2 + 27x = 9x(-1 + m) + 1
10mx + -6mx2 + 27x = (-1 * 9x + m * 9x) + 1

Reorder the terms:
10mx + -6mx2 + 27x = (9mx + -9x) + 1
10mx + -6mx2 + 27x = (9mx + -9x) + 1

Reorder the terms:
10mx + -6mx2 + 27x = 1 + 9mx + -9x

Solving
10mx + -6mx2 + 27x = 1 + 9mx + -9x

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-9mx' to each side of the equation.
10mx + -6mx2 + -9mx + 27x = 1 + 9mx + -9mx + -9x

Reorder the terms:
10mx + -9mx + -6mx2 + 27x = 1 + 9mx + -9mx + -9x

Combine like terms: 10mx + -9mx = 1mx
1mx + -6mx2 + 27x = 1 + 9mx + -9mx + -9x

Combine like terms: 9mx + -9mx = 0
1mx + -6mx2 + 27x = 1 + 0 + -9x
1mx + -6mx2 + 27x = 1 + -9x

Add '-27x' to each side of the equation.
1mx + -6mx2 + 27x + -27x = 1 + -9x + -27x

Combine like terms: 27x + -27x = 0
1mx + -6mx2 + 0 = 1 + -9x + -27x
1mx + -6mx2 = 1 + -9x + -27x

Combine like terms: -9x + -27x = -36x
1mx + -6mx2 = 1 + -36x

Reorder the terms:
-1 + 1mx + -6mx2 + 36x = 1 + -36x + -1 + 36x

Reorder the terms:
-1 + 1mx + -6mx2 + 36x = 1 + -1 + -36x + 36x

Combine like terms: 1 + -1 = 0
-1 + 1mx + -6mx2 + 36x = 0 + -36x + 36x
-1 + 1mx + -6mx2 + 36x = -36x + 36x

Combine like terms: -36x + 36x = 0
-1 + 1mx + -6mx2 + 36x = 0

The solution to this equation could not be determined.

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