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x^2+13*x+42=(x+6)*(x-a) equation

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Numerical solution:

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The solution

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x  + 13*x + 42 = (x + 6)*(x - a)
$$\left(x^{2} + 13 x\right) + 42 = \left(- a + x\right) \left(x + 6\right)$$
Detail solution
Given the equation:
x^2+13*x+42 = (x+6)*(x-a)

Expand expressions:
x^2+13*x+42 = x^2 - 6*a + 6*x - a*x

Reducing, you get:
42 + 6*a + 7*x + a*x = 0

Move free summands (without x)
from left part to right part, we given:
$$a x + 6 a + 7 x = -42$$
Move the summands with the other variables
from left part to right part, we given:
$$a x + 7 x = \left(-6\right) a - 42$$
Divide both parts of the equation by (7*x + a*x)/x
x = -42 - 6*a / ((7*x + a*x)/x)

We get the answer: x = -6
The graph
Rapid solution [src]
x1 = -6
$$x_{1} = -6$$
x1 = -6
Sum and product of roots [src]
sum
-6
$$-6$$
=
-6
$$-6$$
product
-6
$$-6$$
=
-6
$$-6$$
-6