(X-5)(x+(2+3i))(x-(2-3i))=0

Simple and best practice solution for (X-5)(x+(2+3i))(x-(2-3i))=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (X-5)(x+(2+3i))(x-(2-3i))=0 equation: 


Simplifying
(X + -5)(x + (2 + 3i))(x + -1(2 + -3i)) = 0

Reorder the terms:
(-5 + X)(x + (2 + 3i))(x + -1(2 + -3i)) = 0

Remove parenthesis around (2 + 3i)
(-5 + X)(x + 2 + 3i)(x + -1(2 + -3i)) = 0

Reorder the terms:
(-5 + X)(2 + 3i + x)(x + -1(2 + -3i)) = 0
(-5 + X)(2 + 3i + x)(x + (2 * -1 + -3i * -1)) = 0
(-5 + X)(2 + 3i + x)(x + (-2 + 3i)) = 0

Reorder the terms:
(-5 + X)(2 + 3i + x)(-2 + 3i + x) = 0

Multiply (-5 + X) * (2 + 3i + x)
(-5(2 + 3i + x) + X(2 + 3i + x))(-2 + 3i + x) = 0
((2 * -5 + 3i * -5 + x * -5) + X(2 + 3i + x))(-2 + 3i + x) = 0
((-10 + -15i + -5x) + X(2 + 3i + x))(-2 + 3i + x) = 0
(-10 + -15i + -5x + (2 * X + 3i * X + x * X))(-2 + 3i + x) = 0
(-10 + -15i + -5x + (2X + 3iX + xX))(-2 + 3i + x) = 0

Reorder the terms:
(-10 + 2X + -15i + 3iX + -5x + xX)(-2 + 3i + x) = 0
(-10 + 2X + -15i + 3iX + -5x + xX)(-2 + 3i + x) = 0

Multiply (-10 + 2X + -15i + 3iX + -5x + xX) * (-2 + 3i + x)
(-10(-2 + 3i + x) + 2X * (-2 + 3i + x) + -15i * (-2 + 3i + x) + 3iX * (-2 + 3i + x) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0
((-2 * -10 + 3i * -10 + x * -10) + 2X * (-2 + 3i + x) + -15i * (-2 + 3i + x) + 3iX * (-2 + 3i + x) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0
((20 + -30i + -10x) + 2X * (-2 + 3i + x) + -15i * (-2 + 3i + x) + 3iX * (-2 + 3i + x) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0
(20 + -30i + -10x + (-2 * 2X + 3i * 2X + x * 2X) + -15i * (-2 + 3i + x) + 3iX * (-2 + 3i + x) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0
(20 + -30i + -10x + (-4X + 6iX + 2xX) + -15i * (-2 + 3i + x) + 3iX * (-2 + 3i + x) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0
(20 + -30i + -10x + -4X + 6iX + 2xX + (-2 * -15i + 3i * -15i + x * -15i) + 3iX * (-2 + 3i + x) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0

Reorder the terms:
(20 + -30i + -10x + -4X + 6iX + 2xX + (30i + -15ix + -45i2) + 3iX * (-2 + 3i + x) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0
(20 + -30i + -10x + -4X + 6iX + 2xX + (30i + -15ix + -45i2) + 3iX * (-2 + 3i + x) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0
(20 + -30i + -10x + -4X + 6iX + 2xX + 30i + -15ix + -45i2 + (-2 * 3iX + 3i * 3iX + x * 3iX) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0

Reorder the terms:
(20 + -30i + -10x + -4X + 6iX + 2xX + 30i + -15ix + -45i2 + (-6iX + 3ixX + 9i2X) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0
(20 + -30i + -10x + -4X + 6iX + 2xX + 30i + -15ix + -45i2 + (-6iX + 3ixX + 9i2X) + -5x * (-2 + 3i + x) + xX(-2 + 3i + x)) = 0
(20 + -30i + -10x + -4X + 6iX + 2xX + 30i + -15ix + -45i2 + -6iX + 3ixX + 9i2X + (-2 * -5x + 3i * -5x + x * -5x) + xX(-2 + 3i + x)) = 0

Reorder the terms:
(20 + -30i + -10x + -4X + 6iX + 2xX + 30i + -15ix + -45i2 + -6iX + 3ixX + 9i2X + (-15ix + 10x + -5x2) + xX(-2 + 3i + x)) = 0
(20 + -30i + -10x + -4X + 6iX + 2xX + 30i + -15ix + -45i2 + -6iX + 3ixX + 9i2X + (-15ix + 10x + -5x2) + xX(-2 + 3i + x)) = 0
(20 + -30i + -10x + -4X + 6iX + 2xX + 30i + -15ix + -45i2 + -6iX + 3ixX + 9i2X + -15ix + 10x + -5x2 + (-2 * xX + 3i * xX + x * xX)) = 0

Reorder the terms:
(20 + -30i + -10x + -4X + 6iX + 2xX + 30i + -15ix + -45i2 + -6iX + 3ixX + 9i2X + -15ix + 10x + -5x2 + (3ixX + -2xX + x2X)) = 0
(20 + -30i + -10x + -4X + 6iX + 2xX + 30i + -15ix + -45i2 + -6iX + 3ixX + 9i2X + -15ix + 10x + -5x2 + (3ixX + -2xX + x2X)) = 0

Reorder the terms:
(20 + -4X + -30i + 30i + 6iX + -6iX + -15ix + -15ix + 3ixX + 3ixX + -45i2 + 9i2X + -10x + 10x + 2xX + -2xX + -5x2 + x2X) = 0

Combine like terms: -30i + 30i = 0
(20 + -4X + 0 + 6iX + -6iX + -15ix + -15ix + 3ixX + 3ixX + -45i2 + 9i2X + -10x + 10x + 2xX + -2xX + -5x2 + x2X) = 0
(20 + -4X + 6iX + -6iX + -15ix + -15ix + 3ixX + 3ixX + -45i2 + 9i2X + -10x + 10x + 2xX + -2xX + -5x2 + x2X) = 0

Combine like terms: 6iX + -6iX = 0
(20 + -4X + 0 + -15ix + -15ix + 3ixX + 3ixX + -45i2 + 9i2X + -10x + 10x + 2xX + -2xX + -5x2 + x2X) = 0
(20 + -4X + -15ix + -15ix + 3ixX + 3ixX + -45i2 + 9i2X + -10x + 10x + 2xX + -2xX + -5x2 + x2X) = 0

Combine like terms: -15ix + -15ix = -30ix
(20 + -4X + -30ix + 3ixX + 3ixX + -45i2 + 9i2X + -10x + 10x + 2xX + -2xX + -5x2 + x2X) = 0

Combine like terms: 3ixX + 3ixX = 6ixX
(20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -10x + 10x + 2xX + -2xX + -5x2 + x2X) = 0

Combine like terms: -10x + 10x = 0
(20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + 0 + 2xX + -2xX + -5x2 + x2X) = 0
(20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + 2xX + -2xX + -5x2 + x2X) = 0

Combine like terms: 2xX + -2xX = 0
(20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + 0 + -5x2 + x2X) = 0
(20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X) = 0

Solving
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 0

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + -20 + x2X = 0 + -20

Reorder the terms:
20 + -20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 0 + -20
-4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 0 + -20

Combine like terms: 0 + -20 = -20
-4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = -20

Add '30ix' to each side of the equation.
-4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + 30ix + x2X = -20 + 30ix

Reorder the terms:
-4X + -30ix + 30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = -20 + 30ix

Combine like terms: -30ix + 30ix = 0
-4X + 0 + 6ixX + -45i2 + 9i2X + -5x2 + x2X = -20 + 30ix
-4X + 6ixX + -45i2 + 9i2X + -5x2 + x2X = -20 + 30ix

Add '45i2' to each side of the equation.
-4X + 6ixX + -45i2 + 9i2X + -5x2 + 45i2 + x2X = -20 + 30ix + 45i2

Reorder the terms:
-4X + 6ixX + -45i2 + 45i2 + 9i2X + -5x2 + x2X = -20 + 30ix + 45i2

Combine like terms: -45i2 + 45i2 = 0
-4X + 6ixX + 0 + 9i2X + -5x2 + x2X = -20 + 30ix + 45i2
-4X + 6ixX + 9i2X + -5x2 + x2X = -20 + 30ix + 45i2

Add '5x2' to each side of the equation.
-4X + 6ixX + 9i2X + -5x2 + 5x2 + x2X = -20 + 30ix + 45i2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-4X + 6ixX + 9i2X + 0 + x2X = -20 + 30ix + 45i2 + 5x2
-4X + 6ixX + 9i2X + x2X = -20 + 30ix + 45i2 + 5x2

Reorder the terms:
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = -20 + 30ix + 45i2 + 5x2 + 20 + -30ix + -45i2 + -5x2

Reorder the terms:
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = -20 + 20 + 30ix + -30ix + 45i2 + -45i2 + 5x2 + -5x2

Combine like terms: -20 + 20 = 0
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 0 + 30ix + -30ix + 45i2 + -45i2 + 5x2 + -5x2
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 30ix + -30ix + 45i2 + -45i2 + 5x2 + -5x2

Combine like terms: 30ix + -30ix = 0
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 0 + 45i2 + -45i2 + 5x2 + -5x2
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 45i2 + -45i2 + 5x2 + -5x2

Combine like terms: 45i2 + -45i2 = 0
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 0 + 5x2 + -5x2
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
20 + -4X + -30ix + 6ixX + -45i2 + 9i2X + -5x2 + x2X = 0

The solution to this equation could not be determined.

See similar equations:

| 9.75-0.75x=4.75 | | 7z-3z+z=20 | | -2p-2(6-5p)=4(p-4)-12 | | -8x+17=-5(x+1)-2 | | -10p-6(2-3p)=5(p-2)-17 | | (7+y)(4y-5)=0 | | (8x^3-3x^2+4x+1)-(3x^3+8x^2-2)= | | q^2+10q+25=-11q^2+96q+365 | | 3(c+2)-5=7 | | x^2-x+0.16=0 | | 3y-10=0 | | z-33=57 | | 19c+2c-c-7=13 | | 15x-3(3x-4)=6 | | 4.5=4.5+0.075x | | -8d+5d+7d=7d | | (U^2-11u+30)(9u+18)=0 | | 6x+4=10-11 | | -10+n=8 | | 11q-10q+3=8 | | 13y-9y+4=16 | | 7x+16=9x-8 | | 138=6(3+5x) | | -(x+1)(x+1)=-27 | | 3(z+1)=9 | | 32-x^2-4x=0 | | 3-8c=359 | | cot^2x=-2cotx-1 | | 5x+7x+8x=180 | | -14+66+7-26=1+5b | | (x-4)=9 | | 8a-(4a+5y)= |

Equations solver categories