(x-a)(x-7)=0

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Solution for (x-a)(x-7)=0 equation:


Simplifying
(x + -1a)(x + -7) = 0

Reorder the terms:
(-1a + x)(x + -7) = 0

Reorder the terms:
(-1a + x)(-7 + x) = 0

Multiply (-1a + x) * (-7 + x)
(-1a * (-7 + x) + x(-7 + x)) = 0
((-7 * -1a + x * -1a) + x(-7 + x)) = 0
((7a + -1ax) + x(-7 + x)) = 0
(7a + -1ax + (-7 * x + x * x)) = 0
(7a + -1ax + (-7x + x2)) = 0
(7a + -1ax + -7x + x2) = 0

Solving
7a + -1ax + -7x + x2 = 0

Solving for variable 'a'.

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

Add '7x' to each side of the equation.
7a + -1ax + -7x + 7x + x2 = 0 + 7x

Combine like terms: -7x + 7x = 0
7a + -1ax + 0 + x2 = 0 + 7x
7a + -1ax + x2 = 0 + 7x
Remove the zero:
7a + -1ax + x2 = 7x

Add '-1x2' to each side of the equation.
7a + -1ax + x2 + -1x2 = 7x + -1x2

Combine like terms: x2 + -1x2 = 0
7a + -1ax + 0 = 7x + -1x2
7a + -1ax = 7x + -1x2

Reorder the terms:
7a + -1ax + -7x + x2 = 7x + -7x + -1x2 + x2

Combine like terms: 7x + -7x = 0
7a + -1ax + -7x + x2 = 0 + -1x2 + x2
7a + -1ax + -7x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
7a + -1ax + -7x + x2 = 0

The solution to this equation could not be determined.

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