(x-4)(x^2-9i^2)=0

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Solution for (x-4)(x^2-9i^2)=0 equation:


Simplifying
(x + -4)(x2 + -9i2) = 0

Reorder the terms:
(-4 + x)(x2 + -9i2) = 0

Reorder the terms:
(-4 + x)(-9i2 + x2) = 0

Multiply (-4 + x) * (-9i2 + x2)
(-4(-9i2 + x2) + x(-9i2 + x2)) = 0
((-9i2 * -4 + x2 * -4) + x(-9i2 + x2)) = 0
((36i2 + -4x2) + x(-9i2 + x2)) = 0
(36i2 + -4x2 + (-9i2 * x + x2 * x)) = 0
(36i2 + -4x2 + (-9i2x + x3)) = 0

Reorder the terms:
(36i2 + -9i2x + -4x2 + x3) = 0
(36i2 + -9i2x + -4x2 + x3) = 0

Solving
36i2 + -9i2x + -4x2 + x3 = 0

Solving for variable 'i'.

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

Add '4x2' to each side of the equation.
36i2 + -9i2x + -4x2 + 4x2 + x3 = 0 + 4x2

Combine like terms: -4x2 + 4x2 = 0
36i2 + -9i2x + 0 + x3 = 0 + 4x2
36i2 + -9i2x + x3 = 0 + 4x2
Remove the zero:
36i2 + -9i2x + x3 = 4x2

Add '-1x3' to each side of the equation.
36i2 + -9i2x + x3 + -1x3 = 4x2 + -1x3

Combine like terms: x3 + -1x3 = 0
36i2 + -9i2x + 0 = 4x2 + -1x3
36i2 + -9i2x = 4x2 + -1x3

Reorder the terms:
36i2 + -9i2x + -4x2 + x3 = 4x2 + -4x2 + -1x3 + x3

Combine like terms: 4x2 + -4x2 = 0
36i2 + -9i2x + -4x2 + x3 = 0 + -1x3 + x3
36i2 + -9i2x + -4x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
36i2 + -9i2x + -4x2 + x3 = 0

The solution to this equation could not be determined.

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