(9*4)+(x)(4)+(x)(9)=x

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Solution for (9*4)+(x)(4)+(x)(9)=x equation:


Simplifying
(9 * 4) + (x)(4) + (x)(9) = x

Multiply 9 * 4
(36) + (x)(4) + (x)(9) = x
36 + (x)(4) + (x)(9) = x

Reorder the terms for easier multiplication:
36 + 4x + (x)(9) = x

Reorder the terms for easier multiplication:
36 + 4x + 9x = x

Combine like terms: 4x + 9x = 13x
36 + 13x = x

Solving
36 + 13x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
36 + 13x + -1x = x + -1x

Combine like terms: 13x + -1x = 12x
36 + 12x = x + -1x

Combine like terms: x + -1x = 0
36 + 12x = 0

Add '-36' to each side of the equation.
36 + -36 + 12x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 12x = 0 + -36
12x = 0 + -36

Combine like terms: 0 + -36 = -36
12x = -36

Divide each side by '12'.
x = -3

Simplifying
x = -3

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