x=(ax+4)(a-1)

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Solution for x=(ax+4)(a-1) equation:


Simplifying
x = (ax + 4)(a + -1)

Reorder the terms:
x = (4 + ax)(a + -1)

Reorder the terms:
x = (4 + ax)(-1 + a)

Multiply (4 + ax) * (-1 + a)
x = (4(-1 + a) + ax(-1 + a))
x = ((-1 * 4 + a * 4) + ax(-1 + a))
x = ((-4 + 4a) + ax(-1 + a))
x = (-4 + 4a + (-1 * ax + a * ax))
x = (-4 + 4a + (-1ax + a2x))
x = (-4 + 4a + -1ax + a2x)

Solving
x = -4 + 4a + -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 = -4 + 4a + -1ax + ax + a2x

Combine like terms: -1ax + ax = 0
ax + x = -4 + 4a + 0 + a2x
ax + x = -4 + 4a + a2x

Add '-1a2x' to each side of the equation.
ax + -1a2x + x = -4 + 4a + a2x + -1a2x

Combine like terms: a2x + -1a2x = 0
ax + -1a2x + x = -4 + 4a + 0
ax + -1a2x + x = -4 + 4a

Reorder the terms:
4 + -4a + ax + -1a2x + x = -4 + 4a + 4 + -4a

Reorder the terms:
4 + -4a + ax + -1a2x + x = -4 + 4 + 4a + -4a

Combine like terms: -4 + 4 = 0
4 + -4a + ax + -1a2x + x = 0 + 4a + -4a
4 + -4a + ax + -1a2x + x = 4a + -4a

Combine like terms: 4a + -4a = 0
4 + -4a + ax + -1a2x + x = 0

The solution to this equation could not be determined.

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