(2+3i)(4+5i)=2(4+5i)+3i(4+5i)

Simple and best practice solution for (2+3i)(4+5i)=2(4+5i)+3i(4+5i) 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 (2+3i)(4+5i)=2(4+5i)+3i(4+5i) equation: 


Simplifying
(2 + 3i)(4 + 5i) = 2(4 + 5i) + 3i(4 + 5i)

Multiply (2 + 3i) * (4 + 5i)
(2(4 + 5i) + 3i * (4 + 5i)) = 2(4 + 5i) + 3i(4 + 5i)
((4 * 2 + 5i * 2) + 3i * (4 + 5i)) = 2(4 + 5i) + 3i(4 + 5i)
((8 + 10i) + 3i * (4 + 5i)) = 2(4 + 5i) + 3i(4 + 5i)
(8 + 10i + (4 * 3i + 5i * 3i)) = 2(4 + 5i) + 3i(4 + 5i)
(8 + 10i + (12i + 15i2)) = 2(4 + 5i) + 3i(4 + 5i)

Combine like terms: 10i + 12i = 22i
(8 + 22i + 15i2) = 2(4 + 5i) + 3i(4 + 5i)
8 + 22i + 15i2 = (4 * 2 + 5i * 2) + 3i(4 + 5i)
8 + 22i + 15i2 = (8 + 10i) + 3i(4 + 5i)
8 + 22i + 15i2 = 8 + 10i + (4 * 3i + 5i * 3i)
8 + 22i + 15i2 = 8 + 10i + (12i + 15i2)

Combine like terms: 10i + 12i = 22i
8 + 22i + 15i2 = 8 + 22i + 15i2

Add '-8' to each side of the equation.
8 + 22i + -8 + 15i2 = 8 + 22i + -8 + 15i2

Reorder the terms:
8 + -8 + 22i + 15i2 = 8 + 22i + -8 + 15i2

Combine like terms: 8 + -8 = 0
0 + 22i + 15i2 = 8 + 22i + -8 + 15i2
22i + 15i2 = 8 + 22i + -8 + 15i2

Reorder the terms:
22i + 15i2 = 8 + -8 + 22i + 15i2

Combine like terms: 8 + -8 = 0
22i + 15i2 = 0 + 22i + 15i2
22i + 15i2 = 22i + 15i2

Add '-22i' to each side of the equation.
22i + -22i + 15i2 = 22i + -22i + 15i2

Combine like terms: 22i + -22i = 0
0 + 15i2 = 22i + -22i + 15i2
15i2 = 22i + -22i + 15i2

Combine like terms: 22i + -22i = 0
15i2 = 0 + 15i2
15i2 = 15i2

Add '-15i2' to each side of the equation.
15i2 + -15i2 = 15i2 + -15i2

Combine like terms: 15i2 + -15i2 = 0
0 = 15i2 + -15i2

Combine like terms: 15i2 + -15i2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

See similar equations:

| .6x+x=48 | | 3f(2)=s^2+3s | | Ax+9=3(x+5) | | (x-(-2+i))(x-(-2-i))=0 | | (3+z)(4z-6)=0 | | 4(x-6)=48-4x | | 2(3v-5)= | | A(x+2)=3x-9 | | 9p-4p=15 | | 6x-9=119-10x | | (4-6Y+4W)(-5)= | | 0.5x+ln(-x)=6.25 | | 0.5x+ln(x)=6.25 | | 6x-15=13y+3 | | 0.64*x=170 | | 3+0=05 | | 3x^2y(xy^4)= | | 3y^2-(5y+y^2)-(3y-4)= | | 3/5/5/8 | | 2/x(3x-7)-1(3x-7) | | 6/8-3/5= | | (x-2)/223 | | x-2=223 | | -28x^2+140xy-175y^2= | | x-(x-2)=223 | | 9.37+(-4.63)= | | 49u^2-42uv+9v^2= | | 36u^2+60uv+25v^2= | | (3t+2)(t^2+3t-4)= | | x-(x+2)=223 | | 72.3/3=14/n | | 250x^3+54y^3= |

Equations solver categories