x^2-14x+45=(x-5)(x-a)

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Solution for x^2-14x+45=(x-5)(x-a) equation: 


Simplifying
x2 + -14x + 45 = (x + -5)(x + -1a)

Reorder the terms:
45 + -14x + x2 = (x + -5)(x + -1a)

Reorder the terms:
45 + -14x + x2 = (-5 + x)(x + -1a)

Reorder the terms:
45 + -14x + x2 = (-5 + x)(-1a + x)

Multiply (-5 + x) * (-1a + x)
45 + -14x + x2 = (-5(-1a + x) + x(-1a + x))
45 + -14x + x2 = ((-1a * -5 + x * -5) + x(-1a + x))
45 + -14x + x2 = ((5a + -5x) + x(-1a + x))
45 + -14x + x2 = (5a + -5x + (-1a * x + x * x))
45 + -14x + x2 = (5a + -5x + (-1ax + x2))

Reorder the terms:
45 + -14x + x2 = (5a + -1ax + -5x + x2)
45 + -14x + x2 = (5a + -1ax + -5x + x2)

Add '-1x2' to each side of the equation.
45 + -14x + x2 + -1x2 = 5a + -1ax + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + -14x + 0 = 5a + -1ax + -5x + x2 + -1x2
45 + -14x = 5a + -1ax + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + -14x = 5a + -1ax + -5x + 0
45 + -14x = 5a + -1ax + -5x

Solving
45 + -14x = 5a + -1ax + -5x

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.
45 + ax + -14x = 5a + -1ax + ax + -5x

Combine like terms: -1ax + ax = 0
45 + ax + -14x = 5a + 0 + -5x
45 + ax + -14x = 5a + -5x

Add '5x' to each side of the equation.
45 + ax + -14x + 5x = 5a + -5x + 5x

Combine like terms: -14x + 5x = -9x
45 + ax + -9x = 5a + -5x + 5x

Combine like terms: -5x + 5x = 0
45 + ax + -9x = 5a + 0
45 + ax + -9x = 5a

Add '-45' to each side of the equation.
45 + ax + -45 + -9x = -45 + 5a

Reorder the terms:
45 + -45 + ax + -9x = -45 + 5a

Combine like terms: 45 + -45 = 0
0 + ax + -9x = -45 + 5a
ax + -9x = -45 + 5a

Reorder the terms:
45 + -5a + ax + -9x = -45 + 5a + 45 + -5a

Reorder the terms:
45 + -5a + ax + -9x = -45 + 45 + 5a + -5a

Combine like terms: -45 + 45 = 0
45 + -5a + ax + -9x = 0 + 5a + -5a
45 + -5a + ax + -9x = 5a + -5a

Combine like terms: 5a + -5a = 0
45 + -5a + ax + -9x = 0

The solution to this equation could not be determined.

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