x=(ax+3)(a-1)

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Solution for x=(ax+3)(a-1) equation:


Simplifying
x = (ax + 3)(a + -1)

Reorder the terms:
x = (3 + ax)(a + -1)

Reorder the terms:
x = (3 + ax)(-1 + a)

Multiply (3 + ax) * (-1 + a)
x = (3(-1 + a) + ax(-1 + a))
x = ((-1 * 3 + a * 3) + ax(-1 + a))
x = ((-3 + 3a) + ax(-1 + a))
x = (-3 + 3a + (-1 * ax + a * ax))
x = (-3 + 3a + (-1ax + a2x))
x = (-3 + 3a + -1ax + a2x)

Solving
x = -3 + 3a + -1ax + a2x

Solving for variable 'x'.

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

Add 'ax' to each side of the equation.
ax + x = -3 + 3a + -1ax + ax + a2x

Combine like terms: -1ax + ax = 0
ax + x = -3 + 3a + 0 + a2x
ax + x = -3 + 3a + a2x

Add '-1a2x' to each side of the equation.
ax + -1a2x + x = -3 + 3a + a2x + -1a2x

Combine like terms: a2x + -1a2x = 0
ax + -1a2x + x = -3 + 3a + 0
ax + -1a2x + x = -3 + 3a

Reorder the terms:
3 + -3a + ax + -1a2x + x = -3 + 3a + 3 + -3a

Reorder the terms:
3 + -3a + ax + -1a2x + x = -3 + 3 + 3a + -3a

Combine like terms: -3 + 3 = 0
3 + -3a + ax + -1a2x + x = 0 + 3a + -3a
3 + -3a + ax + -1a2x + x = 3a + -3a

Combine like terms: 3a + -3a = 0
3 + -3a + ax + -1a2x + x = 0

The solution to this equation could not be determined.

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