(2+7i)(2-7i)=53

Simple and best practice solution for (2+7i)(2-7i)=53 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+7i)(2-7i)=53 equation:


Simplifying
(2 + 7i)(2 + -7i) = 53

Multiply (2 + 7i) * (2 + -7i)
(2(2 + -7i) + 7i * (2 + -7i)) = 53
((2 * 2 + -7i * 2) + 7i * (2 + -7i)) = 53
((4 + -14i) + 7i * (2 + -7i)) = 53
(4 + -14i + (2 * 7i + -7i * 7i)) = 53
(4 + -14i + (14i + -49i2)) = 53

Combine like terms: -14i + 14i = 0
(4 + 0 + -49i2) = 53
(4 + -49i2) = 53

Solving
4 + -49i2 = 53

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -4 + -49i2 = 53 + -4

Combine like terms: 4 + -4 = 0
0 + -49i2 = 53 + -4
-49i2 = 53 + -4

Combine like terms: 53 + -4 = 49
-49i2 = 49

Divide each side by '-49'.
i2 = -1

Simplifying
i2 = -1

Reorder the terms:
1 + i2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + i2 = 0

The solution to this equation could not be determined.

See similar equations:

| 40x=450 | | 6(11x-16)=498 | | 3079297.20=X+(X*1.419*1) | | 4(z+9)(-z+3)=0 | | 1.6y+y=255 | | 3/20-7/8 | | x+1.6y=255 | | 7k+2=5k+10 | | x-30=2x+2 | | 3079297.20=X+(X*1.419*2) | | 40=-3x+2(2x+14) | | (8-u)(5u+7)=0 | | -2x+3y = -16 | | 6x+7(-4x-7)=-181 | | 9/10x-3/10=9 | | 3+4p+8=2p+12+3p | | 5x*2=2x+20 | | 1/6-2/15 | | (29x)-(46y)=0 | | 3.50x-2y=20.25 | | U^2-8=0 | | 8/9-8/15 | | X^2-(2/5)x=4/25 | | x+x+125+90+125=540 | | 5.8a+11=57.4 | | 5=16t^2+15t | | 2q^2-200q=0 | | 14x+x=750 | | 17x-2=7x+16 | | -(3z+4)=6z-3(z+2) | | 7p-9=3(p+5) | | 3=3(u+5)-7u |

Equations solver categories