=(x^2-8x+17)(x^2-8x+25)

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Solution for =(x^2-8x+17)(x^2-8x+25) equation: 


Simplifying
0 = (x2 + -8x + 17)(x2 + -8x + 25)

Reorder the terms:
0 = (17 + -8x + x2)(x2 + -8x + 25)

Reorder the terms:
0 = (17 + -8x + x2)(25 + -8x + x2)

Multiply (17 + -8x + x2) * (25 + -8x + x2)
0 = (17(25 + -8x + x2) + -8x * (25 + -8x + x2) + x2(25 + -8x + x2))
0 = ((25 * 17 + -8x * 17 + x2 * 17) + -8x * (25 + -8x + x2) + x2(25 + -8x + x2))
0 = ((425 + -136x + 17x2) + -8x * (25 + -8x + x2) + x2(25 + -8x + x2))
0 = (425 + -136x + 17x2 + (25 * -8x + -8x * -8x + x2 * -8x) + x2(25 + -8x + x2))
0 = (425 + -136x + 17x2 + (-200x + 64x2 + -8x3) + x2(25 + -8x + x2))
0 = (425 + -136x + 17x2 + -200x + 64x2 + -8x3 + (25 * x2 + -8x * x2 + x2 * x2))
0 = (425 + -136x + 17x2 + -200x + 64x2 + -8x3 + (25x2 + -8x3 + x4))

Reorder the terms:
0 = (425 + -136x + -200x + 17x2 + 64x2 + 25x2 + -8x3 + -8x3 + x4)

Combine like terms: -136x + -200x = -336x
0 = (425 + -336x + 17x2 + 64x2 + 25x2 + -8x3 + -8x3 + x4)

Combine like terms: 17x2 + 64x2 = 81x2
0 = (425 + -336x + 81x2 + 25x2 + -8x3 + -8x3 + x4)

Combine like terms: 81x2 + 25x2 = 106x2
0 = (425 + -336x + 106x2 + -8x3 + -8x3 + x4)

Combine like terms: -8x3 + -8x3 = -16x3
0 = (425 + -336x + 106x2 + -16x3 + x4)

Solving
0 = 425 + -336x + 106x2 + -16x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + -425 = -425
-425 + 336x + -106x2 + 16x3 + -1x4 = 425 + -336x + 106x2 + -16x3 + x4 + -425 + 336x + -106x2 + 16x3 + -1x4

Reorder the terms:
-425 + 336x + -106x2 + 16x3 + -1x4 = 425 + -425 + -336x + 336x + 106x2 + -106x2 + -16x3 + 16x3 + x4 + -1x4

Combine like terms: 425 + -425 = 0
-425 + 336x + -106x2 + 16x3 + -1x4 = 0 + -336x + 336x + 106x2 + -106x2 + -16x3 + 16x3 + x4 + -1x4
-425 + 336x + -106x2 + 16x3 + -1x4 = -336x + 336x + 106x2 + -106x2 + -16x3 + 16x3 + x4 + -1x4

Combine like terms: -336x + 336x = 0
-425 + 336x + -106x2 + 16x3 + -1x4 = 0 + 106x2 + -106x2 + -16x3 + 16x3 + x4 + -1x4
-425 + 336x + -106x2 + 16x3 + -1x4 = 106x2 + -106x2 + -16x3 + 16x3 + x4 + -1x4

Combine like terms: 106x2 + -106x2 = 0
-425 + 336x + -106x2 + 16x3 + -1x4 = 0 + -16x3 + 16x3 + x4 + -1x4
-425 + 336x + -106x2 + 16x3 + -1x4 = -16x3 + 16x3 + x4 + -1x4

Combine like terms: -16x3 + 16x3 = 0
-425 + 336x + -106x2 + 16x3 + -1x4 = 0 + x4 + -1x4
-425 + 336x + -106x2 + 16x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-425 + 336x + -106x2 + 16x3 + -1x4 = 0

The solution to this equation could not be determined.

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