6(x-6)=1+(x-m)m

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Solution for 6(x-6)=1+(x-m)m equation:


Simplifying
6(x + -6) = 1 + (x + -1m) * m

Reorder the terms:
6(-6 + x) = 1 + (x + -1m) * m
(-6 * 6 + x * 6) = 1 + (x + -1m) * m
(-36 + 6x) = 1 + (x + -1m) * m

Reorder the terms:
-36 + 6x = 1 + (-1m + x) * m

Reorder the terms for easier multiplication:
-36 + 6x = 1 + m(-1m + x)
-36 + 6x = 1 + (-1m * m + x * m)

Reorder the terms:
-36 + 6x = 1 + (mx + -1m2)
-36 + 6x = 1 + (mx + -1m2)

Solving
-36 + 6x = 1 + mx + -1m2

Solving for variable 'x'.

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

Add '-1mx' to each side of the equation.
-36 + -1mx + 6x = 1 + mx + -1mx + -1m2

Combine like terms: mx + -1mx = 0
-36 + -1mx + 6x = 1 + 0 + -1m2
-36 + -1mx + 6x = 1 + -1m2

Add '36' to each side of the equation.
-36 + -1mx + 36 + 6x = 1 + 36 + -1m2

Reorder the terms:
-36 + 36 + -1mx + 6x = 1 + 36 + -1m2

Combine like terms: -36 + 36 = 0
0 + -1mx + 6x = 1 + 36 + -1m2
-1mx + 6x = 1 + 36 + -1m2

Combine like terms: 1 + 36 = 37
-1mx + 6x = 37 + -1m2

Reorder the terms:
-37 + -1mx + m2 + 6x = 37 + -1m2 + -37 + m2

Reorder the terms:
-37 + -1mx + m2 + 6x = 37 + -37 + -1m2 + m2

Combine like terms: 37 + -37 = 0
-37 + -1mx + m2 + 6x = 0 + -1m2 + m2
-37 + -1mx + m2 + 6x = -1m2 + m2

Combine like terms: -1m2 + m2 = 0
-37 + -1mx + m2 + 6x = 0

The solution to this equation could not be determined.

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