(X^2-5x+6)(x^2-49)=0

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Solution for (X^2-5x+6)(x^2-49)=0 equation: 


Simplifying
(X2 + -5x + 6)(x2 + -49) = 0

Reorder the terms:
(6 + X2 + -5x)(x2 + -49) = 0

Reorder the terms:
(6 + X2 + -5x)(-49 + x2) = 0

Multiply (6 + X2 + -5x) * (-49 + x2)
(6(-49 + x2) + X2(-49 + x2) + -5x * (-49 + x2)) = 0
((-49 * 6 + x2 * 6) + X2(-49 + x2) + -5x * (-49 + x2)) = 0
((-294 + 6x2) + X2(-49 + x2) + -5x * (-49 + x2)) = 0
(-294 + 6x2 + (-49 * X2 + x2 * X2) + -5x * (-49 + x2)) = 0
(-294 + 6x2 + (-49X2 + x2X2) + -5x * (-49 + x2)) = 0
(-294 + 6x2 + -49X2 + x2X2 + (-49 * -5x + x2 * -5x)) = 0
(-294 + 6x2 + -49X2 + x2X2 + (245x + -5x3)) = 0

Reorder the terms:
(-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3) = 0
(-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3) = 0

Solving
-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = 0

Solving for variable 'X'.

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

Add '294' to each side of the equation.
-294 + -49X2 + 245x + 6x2 + x2X2 + 294 + -5x3 = 0 + 294

Reorder the terms:
-294 + 294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = 0 + 294

Combine like terms: -294 + 294 = 0
0 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = 0 + 294
-49X2 + 245x + 6x2 + x2X2 + -5x3 = 0 + 294

Combine like terms: 0 + 294 = 294
-49X2 + 245x + 6x2 + x2X2 + -5x3 = 294

Add '-245x' to each side of the equation.
-49X2 + 245x + 6x2 + x2X2 + -245x + -5x3 = 294 + -245x

Reorder the terms:
-49X2 + 245x + -245x + 6x2 + x2X2 + -5x3 = 294 + -245x

Combine like terms: 245x + -245x = 0
-49X2 + 0 + 6x2 + x2X2 + -5x3 = 294 + -245x
-49X2 + 6x2 + x2X2 + -5x3 = 294 + -245x

Add '-6x2' to each side of the equation.
-49X2 + 6x2 + x2X2 + -6x2 + -5x3 = 294 + -245x + -6x2

Reorder the terms:
-49X2 + 6x2 + -6x2 + x2X2 + -5x3 = 294 + -245x + -6x2

Combine like terms: 6x2 + -6x2 = 0
-49X2 + 0 + x2X2 + -5x3 = 294 + -245x + -6x2
-49X2 + x2X2 + -5x3 = 294 + -245x + -6x2

Add '5x3' to each side of the equation.
-49X2 + x2X2 + -5x3 + 5x3 = 294 + -245x + -6x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
-49X2 + x2X2 + 0 = 294 + -245x + -6x2 + 5x3
-49X2 + x2X2 = 294 + -245x + -6x2 + 5x3

Reorder the terms:
-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = 294 + -245x + -6x2 + 5x3 + -294 + 245x + 6x2 + -5x3

Reorder the terms:
-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = 294 + -294 + -245x + 245x + -6x2 + 6x2 + 5x3 + -5x3

Combine like terms: 294 + -294 = 0
-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = 0 + -245x + 245x + -6x2 + 6x2 + 5x3 + -5x3
-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = -245x + 245x + -6x2 + 6x2 + 5x3 + -5x3

Combine like terms: -245x + 245x = 0
-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = 0 + -6x2 + 6x2 + 5x3 + -5x3
-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = -6x2 + 6x2 + 5x3 + -5x3

Combine like terms: -6x2 + 6x2 = 0
-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = 0 + 5x3 + -5x3
-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-294 + -49X2 + 245x + 6x2 + x2X2 + -5x3 = 0

The solution to this equation could not be determined.

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