x(9x-5)=(9x+5)(x-1)

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Solution for x(9x-5)=(9x+5)(x-1) equation:


Simplifying
x(9x + -5) = (9x + 5)(x + -1)

Reorder the terms:
x(-5 + 9x) = (9x + 5)(x + -1)
(-5 * x + 9x * x) = (9x + 5)(x + -1)
(-5x + 9x2) = (9x + 5)(x + -1)

Reorder the terms:
-5x + 9x2 = (5 + 9x)(x + -1)

Reorder the terms:
-5x + 9x2 = (5 + 9x)(-1 + x)

Multiply (5 + 9x) * (-1 + x)
-5x + 9x2 = (5(-1 + x) + 9x * (-1 + x))
-5x + 9x2 = ((-1 * 5 + x * 5) + 9x * (-1 + x))
-5x + 9x2 = ((-5 + 5x) + 9x * (-1 + x))
-5x + 9x2 = (-5 + 5x + (-1 * 9x + x * 9x))
-5x + 9x2 = (-5 + 5x + (-9x + 9x2))

Combine like terms: 5x + -9x = -4x
-5x + 9x2 = (-5 + -4x + 9x2)

Add '-9x2' to each side of the equation.
-5x + 9x2 + -9x2 = -5 + -4x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-5x + 0 = -5 + -4x + 9x2 + -9x2
-5x = -5 + -4x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-5x = -5 + -4x + 0
-5x = -5 + -4x

Solving
-5x = -5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-5x + 4x = -5 + -4x + 4x

Combine like terms: -5x + 4x = -1x
-1x = -5 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1x = -5 + 0
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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