x^2+(7+a)x+7a=0

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Solution for x^2+(7+a)x+7a=0 equation:


Simplifying
x2 + (7 + a) * x + 7a = 0

Reorder the terms for easier multiplication:
x2 + x(7 + a) + 7a = 0
x2 + (7 * x + a * x) + 7a = 0

Reorder the terms:
x2 + (ax + 7x) + 7a = 0
x2 + (ax + 7x) + 7a = 0

Reorder the terms:
7a + ax + 7x + x2 = 0

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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