(x^2-7x+2)(x^2-2a+3)=

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Solution for (x^2-7x+2)(x^2-2a+3)= equation:


Simplifying
(x2 + -7x + 2)(x2 + -2a + 3) = 0

Reorder the terms:
(2 + -7x + x2)(x2 + -2a + 3) = 0

Reorder the terms:
(2 + -7x + x2)(3 + -2a + x2) = 0

Multiply (2 + -7x + x2) * (3 + -2a + x2)
(2(3 + -2a + x2) + -7x * (3 + -2a + x2) + x2(3 + -2a + x2)) = 0
((3 * 2 + -2a * 2 + x2 * 2) + -7x * (3 + -2a + x2) + x2(3 + -2a + x2)) = 0
((6 + -4a + 2x2) + -7x * (3 + -2a + x2) + x2(3 + -2a + x2)) = 0
(6 + -4a + 2x2 + (3 * -7x + -2a * -7x + x2 * -7x) + x2(3 + -2a + x2)) = 0

Reorder the terms:
(6 + -4a + 2x2 + (14ax + -21x + -7x3) + x2(3 + -2a + x2)) = 0
(6 + -4a + 2x2 + (14ax + -21x + -7x3) + x2(3 + -2a + x2)) = 0
(6 + -4a + 2x2 + 14ax + -21x + -7x3 + (3 * x2 + -2a * x2 + x2 * x2)) = 0

Reorder the terms:
(6 + -4a + 2x2 + 14ax + -21x + -7x3 + (-2ax2 + 3x2 + x4)) = 0
(6 + -4a + 2x2 + 14ax + -21x + -7x3 + (-2ax2 + 3x2 + x4)) = 0

Reorder the terms:
(6 + -4a + 14ax + -2ax2 + -21x + 2x2 + 3x2 + -7x3 + x4) = 0

Combine like terms: 2x2 + 3x2 = 5x2
(6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4) = 0

Solving
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + -6 + x4 = 0 + -6

Reorder the terms:
6 + -6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 0 + -6
-4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 0 + -6

Combine like terms: 0 + -6 = -6
-4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = -6

Add '21x' to each side of the equation.
-4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + 21x + x4 = -6 + 21x

Reorder the terms:
-4a + 14ax + -2ax2 + -21x + 21x + 5x2 + -7x3 + x4 = -6 + 21x

Combine like terms: -21x + 21x = 0
-4a + 14ax + -2ax2 + 0 + 5x2 + -7x3 + x4 = -6 + 21x
-4a + 14ax + -2ax2 + 5x2 + -7x3 + x4 = -6 + 21x

Add '-5x2' to each side of the equation.
-4a + 14ax + -2ax2 + 5x2 + -7x3 + -5x2 + x4 = -6 + 21x + -5x2

Reorder the terms:
-4a + 14ax + -2ax2 + 5x2 + -5x2 + -7x3 + x4 = -6 + 21x + -5x2

Combine like terms: 5x2 + -5x2 = 0
-4a + 14ax + -2ax2 + 0 + -7x3 + x4 = -6 + 21x + -5x2
-4a + 14ax + -2ax2 + -7x3 + x4 = -6 + 21x + -5x2

Add '7x3' to each side of the equation.
-4a + 14ax + -2ax2 + -7x3 + 7x3 + x4 = -6 + 21x + -5x2 + 7x3

Combine like terms: -7x3 + 7x3 = 0
-4a + 14ax + -2ax2 + 0 + x4 = -6 + 21x + -5x2 + 7x3
-4a + 14ax + -2ax2 + x4 = -6 + 21x + -5x2 + 7x3

Add '-1x4' to each side of the equation.
-4a + 14ax + -2ax2 + x4 + -1x4 = -6 + 21x + -5x2 + 7x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-4a + 14ax + -2ax2 + 0 = -6 + 21x + -5x2 + 7x3 + -1x4
-4a + 14ax + -2ax2 = -6 + 21x + -5x2 + 7x3 + -1x4

Reorder the terms:
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = -6 + 21x + -5x2 + 7x3 + -1x4 + 6 + -21x + 5x2 + -7x3 + x4

Reorder the terms:
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = -6 + 6 + 21x + -21x + -5x2 + 5x2 + 7x3 + -7x3 + -1x4 + x4

Combine like terms: -6 + 6 = 0
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 0 + 21x + -21x + -5x2 + 5x2 + 7x3 + -7x3 + -1x4 + x4
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 21x + -21x + -5x2 + 5x2 + 7x3 + -7x3 + -1x4 + x4

Combine like terms: 21x + -21x = 0
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 0 + -5x2 + 5x2 + 7x3 + -7x3 + -1x4 + x4
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = -5x2 + 5x2 + 7x3 + -7x3 + -1x4 + x4

Combine like terms: -5x2 + 5x2 = 0
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 0 + 7x3 + -7x3 + -1x4 + x4
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 7x3 + -7x3 + -1x4 + x4

Combine like terms: 7x3 + -7x3 = 0
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 0 + -1x4 + x4
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
6 + -4a + 14ax + -2ax2 + -21x + 5x2 + -7x3 + x4 = 0

The solution to this equation could not be determined.

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