x=(ax+5)(a-4)

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Solution for x=(ax+5)(a-4) equation:


Simplifying
x = (ax + 5)(a + -4)

Reorder the terms:
x = (5 + ax)(a + -4)

Reorder the terms:
x = (5 + ax)(-4 + a)

Multiply (5 + ax) * (-4 + a)
x = (5(-4 + a) + ax(-4 + a))
x = ((-4 * 5 + a * 5) + ax(-4 + a))
x = ((-20 + 5a) + ax(-4 + a))
x = (-20 + 5a + (-4 * ax + a * ax))
x = (-20 + 5a + (-4ax + a2x))
x = (-20 + 5a + -4ax + a2x)

Solving
x = -20 + 5a + -4ax + a2x

Solving for variable 'x'.

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

Add '4ax' to each side of the equation.
4ax + x = -20 + 5a + -4ax + 4ax + a2x

Combine like terms: -4ax + 4ax = 0
4ax + x = -20 + 5a + 0 + a2x
4ax + x = -20 + 5a + a2x

Add '-1a2x' to each side of the equation.
4ax + -1a2x + x = -20 + 5a + a2x + -1a2x

Combine like terms: a2x + -1a2x = 0
4ax + -1a2x + x = -20 + 5a + 0
4ax + -1a2x + x = -20 + 5a

Reorder the terms:
20 + -5a + 4ax + -1a2x + x = -20 + 5a + 20 + -5a

Reorder the terms:
20 + -5a + 4ax + -1a2x + x = -20 + 20 + 5a + -5a

Combine like terms: -20 + 20 = 0
20 + -5a + 4ax + -1a2x + x = 0 + 5a + -5a
20 + -5a + 4ax + -1a2x + x = 5a + -5a

Combine like terms: 5a + -5a = 0
20 + -5a + 4ax + -1a2x + x = 0

The solution to this equation could not be determined.

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