(x-(4+3i))(x-(4-3i))=0

Simple and best practice solution for (x-(4+3i))(x-(4-3i))=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-(4+3i))(x-(4-3i))=0 equation:


Simplifying
(x + -1(4 + 3i))(x + -1(4 + -3i)) = 0
(x + (4 * -1 + 3i * -1))(x + -1(4 + -3i)) = 0
(x + (-4 + -3i))(x + -1(4 + -3i)) = 0

Reorder the terms:
(-4 + -3i + x)(x + -1(4 + -3i)) = 0
(-4 + -3i + x)(x + (4 * -1 + -3i * -1)) = 0
(-4 + -3i + x)(x + (-4 + 3i)) = 0

Reorder the terms:
(-4 + -3i + x)(-4 + 3i + x) = 0

Multiply (-4 + -3i + x) * (-4 + 3i + x)
(-4(-4 + 3i + x) + -3i * (-4 + 3i + x) + x(-4 + 3i + x)) = 0
((-4 * -4 + 3i * -4 + x * -4) + -3i * (-4 + 3i + x) + x(-4 + 3i + x)) = 0
((16 + -12i + -4x) + -3i * (-4 + 3i + x) + x(-4 + 3i + x)) = 0
(16 + -12i + -4x + (-4 * -3i + 3i * -3i + x * -3i) + x(-4 + 3i + x)) = 0

Reorder the terms:
(16 + -12i + -4x + (12i + -3ix + -9i2) + x(-4 + 3i + x)) = 0
(16 + -12i + -4x + (12i + -3ix + -9i2) + x(-4 + 3i + x)) = 0
(16 + -12i + -4x + 12i + -3ix + -9i2 + (-4 * x + 3i * x + x * x)) = 0

Reorder the terms:
(16 + -12i + -4x + 12i + -3ix + -9i2 + (3ix + -4x + x2)) = 0
(16 + -12i + -4x + 12i + -3ix + -9i2 + (3ix + -4x + x2)) = 0

Reorder the terms:
(16 + -12i + 12i + -3ix + 3ix + -9i2 + -4x + -4x + x2) = 0

Combine like terms: -12i + 12i = 0
(16 + 0 + -3ix + 3ix + -9i2 + -4x + -4x + x2) = 0
(16 + -3ix + 3ix + -9i2 + -4x + -4x + x2) = 0

Combine like terms: -3ix + 3ix = 0
(16 + 0 + -9i2 + -4x + -4x + x2) = 0
(16 + -9i2 + -4x + -4x + x2) = 0

Combine like terms: -4x + -4x = -8x
(16 + -9i2 + -8x + x2) = 0

Solving
16 + -9i2 + -8x + x2 = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -9i2 + -8x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -9i2 + -8x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -9i2 + -8x + x2 = 0 + -16
-9i2 + -8x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-9i2 + -8x + x2 = -16

Add '8x' to each side of the equation.
-9i2 + -8x + 8x + x2 = -16 + 8x

Combine like terms: -8x + 8x = 0
-9i2 + 0 + x2 = -16 + 8x
-9i2 + x2 = -16 + 8x

Add '-1x2' to each side of the equation.
-9i2 + x2 + -1x2 = -16 + 8x + -1x2

Combine like terms: x2 + -1x2 = 0
-9i2 + 0 = -16 + 8x + -1x2
-9i2 = -16 + 8x + -1x2

Divide each side by '-9'.
i2 = 1.777777778 + -0.8888888889x + 0.1111111111x2

Simplifying
i2 = 1.777777778 + -0.8888888889x + 0.1111111111x2

Reorder the terms:
-1.777777778 + i2 + 0.8888888889x + -0.1111111111x2 = 1.777777778 + -0.8888888889x + 0.1111111111x2 + -1.777777778 + 0.8888888889x + -0.1111111111x2

Reorder the terms:
-1.777777778 + i2 + 0.8888888889x + -0.1111111111x2 = 1.777777778 + -1.777777778 + -0.8888888889x + 0.8888888889x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: 1.777777778 + -1.777777778 = 0.000000000
-1.777777778 + i2 + 0.8888888889x + -0.1111111111x2 = 0.000000000 + -0.8888888889x + 0.8888888889x + 0.1111111111x2 + -0.1111111111x2
-1.777777778 + i2 + 0.8888888889x + -0.1111111111x2 = -0.8888888889x + 0.8888888889x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: -0.8888888889x + 0.8888888889x = 0.0000000000
-1.777777778 + i2 + 0.8888888889x + -0.1111111111x2 = 0.0000000000 + 0.1111111111x2 + -0.1111111111x2
-1.777777778 + i2 + 0.8888888889x + -0.1111111111x2 = 0.1111111111x2 + -0.1111111111x2

Combine like terms: 0.1111111111x2 + -0.1111111111x2 = 0.0000000000
-1.777777778 + i2 + 0.8888888889x + -0.1111111111x2 = 0.0000000000

The solution to this equation could not be determined.

See similar equations:

| x^2=-4x+400 | | 3=m/6 | | 3x^4-1=0 | | h=-16t^224*t-3 | | a+2.75+9.35+(2a+2.75+9.35)*0.0715=261.76 | | 2u-4u=-13+11 | | 6(2y+5)-2y+10= | | a+3+9.35+(2a+3+9.35)*0.0715=261.76 | | 3(x-4)=2-2(6-x) | | u^2-10u-9=0 | | -2(m-4)=7m+4(2+7m) | | a+3.25+9.35+(2a+3.25+9.35)*0.0715=261.76 | | 6z^4-11z^2+3=0 | | 0=16x^2-24x+9 | | 12x+17+15x=180 | | 6(x-4)=3x-60 | | 9(42)-9(4)=9(30)+9 | | -5x-8x+34=5x+26 | | 4(x-3)=-5(7-3x)-11x | | 8=a | | 3(-1+2x)=-21 | | -28+8n=-6(4n-6) | | 2x^8+54x^5=0 | | B+c=10 | | 7x+3y=116 | | A/15=-2/3 | | 0.5x+12.3=x-4.1 | | 21x+35=21x+35 | | 400x=375x+1000 | | 20x+10=-65 | | 4r-2/2=2-3r/3 | | 7x+3y=66 |

Equations solver categories