(5+7i)(7-5i)=

Simple and best practice solution for (5+7i)(7-5i)= 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 (5+7i)(7-5i)= equation: 


Simplifying
(5 + 7i)(7 + -5i) = 0

Multiply (5 + 7i) * (7 + -5i)
(5(7 + -5i) + 7i * (7 + -5i)) = 0
((7 * 5 + -5i * 5) + 7i * (7 + -5i)) = 0
((35 + -25i) + 7i * (7 + -5i)) = 0
(35 + -25i + (7 * 7i + -5i * 7i)) = 0
(35 + -25i + (49i + -35i2)) = 0

Combine like terms: -25i + 49i = 24i
(35 + 24i + -35i2) = 0

Solving
35 + 24i + -35i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(7 + -5i)(5 + 7i) = 0


Subproblem 1
Set the factor '(7 + -5i)' equal to zero and attempt to solve:

Simplifying
7 + -5i = 0

Solving
7 + -5i = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5i = 0 + -7
-5i = 0 + -7

Combine like terms: 0 + -7 = -7
-5i = -7

Divide each side by '-5'.
i = 1.4

Simplifying
i = 1.4

Subproblem 2
Set the factor '(5 + 7i)' equal to zero and attempt to solve:

Simplifying
5 + 7i = 0

Solving
5 + 7i = 0

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

Add '-5' to each side of the equation.
5 + -5 + 7i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7i = 0 + -5
7i = 0 + -5

Combine like terms: 0 + -5 = -5
7i = -5

Divide each side by '7'.
i = -0.7142857143

Simplifying
i = -0.7142857143
Solution
i = {1.4, -0.7142857143}

See similar equations:

| -5+10x=5 | | x(x-5)(6x-1)=0 | | 4x+38=-x+3 | | 0.3+4=0.1+4 | | 3a+(-5a)= | | 4a/4 | | 3x-7+4x=18 | | (2-6)^2/3 | | 16(x-2)-(x-3)=-11 | | x+59+x+59=110 | | (m-2)-5=8-2m+8 | | n-7=22.5-2n | | (3t/4)-(t/2)=1 | | 4+6x-2=4x | | f(9a)=x+2 | | x=3sqrt(x) | | 5(r-3)+2r=41 | | 4/15x-2/3=1/2x-2 | | -5+(-16)+5+8+16= | | 4c=30 | | 6m-4=20 | | (P-9)=2p+15 | | 28/75=r/42 | | 9x+6-30x+18=2 | | 4(a+3)=2(a+11) | | 10t=3t+5 | | -10=4-6k-8k | | -2c+5+5c=14 | | 3.4=2.1-0.3y | | -3+10b=57 | | 10=2r^4 | | 0+(-11)= |

Equations solver categories