(x^2-10x+25)(x^2-8i-15)=0

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Solution for (x^2-10x+25)(x^2-8i-15)=0 equation: 


Simplifying
(x2 + -10x + 25)(x2 + -8i + -15) = 0

Reorder the terms:
(25 + -10x + x2)(x2 + -8i + -15) = 0

Reorder the terms:
(25 + -10x + x2)(-15 + -8i + x2) = 0

Multiply (25 + -10x + x2) * (-15 + -8i + x2)
(25(-15 + -8i + x2) + -10x * (-15 + -8i + x2) + x2(-15 + -8i + x2)) = 0
((-15 * 25 + -8i * 25 + x2 * 25) + -10x * (-15 + -8i + x2) + x2(-15 + -8i + x2)) = 0
((-375 + -200i + 25x2) + -10x * (-15 + -8i + x2) + x2(-15 + -8i + x2)) = 0
(-375 + -200i + 25x2 + (-15 * -10x + -8i * -10x + x2 * -10x) + x2(-15 + -8i + x2)) = 0

Reorder the terms:
(-375 + -200i + 25x2 + (80ix + 150x + -10x3) + x2(-15 + -8i + x2)) = 0
(-375 + -200i + 25x2 + (80ix + 150x + -10x3) + x2(-15 + -8i + x2)) = 0
(-375 + -200i + 25x2 + 80ix + 150x + -10x3 + (-15 * x2 + -8i * x2 + x2 * x2)) = 0

Reorder the terms:
(-375 + -200i + 25x2 + 80ix + 150x + -10x3 + (-8ix2 + -15x2 + x4)) = 0
(-375 + -200i + 25x2 + 80ix + 150x + -10x3 + (-8ix2 + -15x2 + x4)) = 0

Reorder the terms:
(-375 + -200i + 80ix + -8ix2 + 150x + 25x2 + -15x2 + -10x3 + x4) = 0

Combine like terms: 25x2 + -15x2 = 10x2
(-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4) = 0

Solving
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 0

Solving for variable 'i'.

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

Add '375' to each side of the equation.
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + 375 + x4 = 0 + 375

Reorder the terms:
-375 + 375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 0 + 375

Combine like terms: -375 + 375 = 0
0 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 0 + 375
-200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 0 + 375

Combine like terms: 0 + 375 = 375
-200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 375

Add '-150x' to each side of the equation.
-200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + -150x + x4 = 375 + -150x

Reorder the terms:
-200i + 80ix + -8ix2 + 150x + -150x + 10x2 + -10x3 + x4 = 375 + -150x

Combine like terms: 150x + -150x = 0
-200i + 80ix + -8ix2 + 0 + 10x2 + -10x3 + x4 = 375 + -150x
-200i + 80ix + -8ix2 + 10x2 + -10x3 + x4 = 375 + -150x

Add '-10x2' to each side of the equation.
-200i + 80ix + -8ix2 + 10x2 + -10x3 + -10x2 + x4 = 375 + -150x + -10x2

Reorder the terms:
-200i + 80ix + -8ix2 + 10x2 + -10x2 + -10x3 + x4 = 375 + -150x + -10x2

Combine like terms: 10x2 + -10x2 = 0
-200i + 80ix + -8ix2 + 0 + -10x3 + x4 = 375 + -150x + -10x2
-200i + 80ix + -8ix2 + -10x3 + x4 = 375 + -150x + -10x2

Add '10x3' to each side of the equation.
-200i + 80ix + -8ix2 + -10x3 + 10x3 + x4 = 375 + -150x + -10x2 + 10x3

Combine like terms: -10x3 + 10x3 = 0
-200i + 80ix + -8ix2 + 0 + x4 = 375 + -150x + -10x2 + 10x3
-200i + 80ix + -8ix2 + x4 = 375 + -150x + -10x2 + 10x3

Add '-1x4' to each side of the equation.
-200i + 80ix + -8ix2 + x4 + -1x4 = 375 + -150x + -10x2 + 10x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-200i + 80ix + -8ix2 + 0 = 375 + -150x + -10x2 + 10x3 + -1x4
-200i + 80ix + -8ix2 = 375 + -150x + -10x2 + 10x3 + -1x4

Reorder the terms:
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 375 + -150x + -10x2 + 10x3 + -1x4 + -375 + 150x + 10x2 + -10x3 + x4

Reorder the terms:
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 375 + -375 + -150x + 150x + -10x2 + 10x2 + 10x3 + -10x3 + -1x4 + x4

Combine like terms: 375 + -375 = 0
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 0 + -150x + 150x + -10x2 + 10x2 + 10x3 + -10x3 + -1x4 + x4
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = -150x + 150x + -10x2 + 10x2 + 10x3 + -10x3 + -1x4 + x4

Combine like terms: -150x + 150x = 0
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 0 + -10x2 + 10x2 + 10x3 + -10x3 + -1x4 + x4
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = -10x2 + 10x2 + 10x3 + -10x3 + -1x4 + x4

Combine like terms: -10x2 + 10x2 = 0
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 0 + 10x3 + -10x3 + -1x4 + x4
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 10x3 + -10x3 + -1x4 + x4

Combine like terms: 10x3 + -10x3 = 0
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 0 + -1x4 + x4
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-375 + -200i + 80ix + -8ix2 + 150x + 10x2 + -10x3 + x4 = 0

The solution to this equation could not be determined.

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