5+i^2-10(5+i)+26=0

Simple and best practice solution for 5+i^2-10(5+i)+26=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 5+i^2-10(5+i)+26=0 equation: 


Simplifying
5 + i2 + -10(5 + i) + 26 = 0
5 + i2 + (5 * -10 + i * -10) + 26 = 0
5 + i2 + (-50 + -10i) + 26 = 0

Reorder the terms:
5 + -50 + 26 + -10i + i2 = 0

Combine like terms: 5 + -50 = -45
-45 + 26 + -10i + i2 = 0

Combine like terms: -45 + 26 = -19
-19 + -10i + i2 = 0

Solving
-19 + -10i + i2 = 0

Solving for variable 'i'.

Begin completing the square.

Move the constant term to the right:

Add '19' to each side of the equation.
-19 + -10i + 19 + i2 = 0 + 19

Reorder the terms:
-19 + 19 + -10i + i2 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -10i + i2 = 0 + 19
-10i + i2 = 0 + 19

Combine like terms: 0 + 19 = 19
-10i + i2 = 19

The i term is -10i.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10i + 25 + i2 = 19 + 25

Reorder the terms:
25 + -10i + i2 = 19 + 25

Combine like terms: 19 + 25 = 44
25 + -10i + i2 = 44

Factor a perfect square on the left side:
(i + -5)(i + -5) = 44

Calculate the square root of the right side: 6.633249581

Break this problem into two subproblems by setting 
(i + -5) equal to 6.633249581 and -6.633249581.


Subproblem 1
i + -5 = 6.633249581

Simplifying
i + -5 = 6.633249581

Reorder the terms:
-5 + i = 6.633249581

Solving
-5 + i = 6.633249581

Solving for variable 'i'.

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

Add '5' to each side of the equation.
-5 + 5 + i = 6.633249581 + 5

Combine like terms: -5 + 5 = 0
0 + i = 6.633249581 + 5
i = 6.633249581 + 5

Combine like terms: 6.633249581 + 5 = 11.633249581
i = 11.633249581

Simplifying
i = 11.633249581


Subproblem 2
i + -5 = -6.633249581

Simplifying
i + -5 = -6.633249581

Reorder the terms:
-5 + i = -6.633249581

Solving
-5 + i = -6.633249581

Solving for variable 'i'.

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

Add '5' to each side of the equation.
-5 + 5 + i = -6.633249581 + 5

Combine like terms: -5 + 5 = 0
0 + i = -6.633249581 + 5
i = -6.633249581 + 5

Combine like terms: -6.633249581 + 5 = -1.633249581
i = -1.633249581

Simplifying
i = -1.633249581


Solution
The solution to the problem is based on the solutions
from the subproblems.
i = {11.633249581, -1.633249581}

See similar equations:

| 10x+17x-8+2=-8x+2-8 | | 10x+17x-8+2= | | x(3-y)+y(x+6)= | | 2y+5=4y+13 | | 24-3x=4+2x | | (6t-7)=2(t+1)+2 | | 2A-ha=hb | | 3(5z-1)-4(z+9)=2(2+1) | | 2-2z=14 | | 50x^2=0.02 | | 4x-15=-18+7x | | 3s-24=-24+4s | | 9y-4-6y+2=0 | | 3p-(p+5)=2(p+4) | | -10=4+2y | | 16x^2+bx+81= | | x^2+bx+81= | | -8x-4=-2+x-6-8x | | 7x^2+4x=3 | | 9t-19=-10+6t | | 2(2x+3)=3(x-5) | | x(x+1)-9(x+1)= | | -3(3-5y)=10y+41 | | 11(11x-2)=5 | | 5z-3=5+4z | | -13-7x=-6-9(x+3) | | A=a+(n+1)d | | -17+8=-3(x+2) | | x(x+3)-6(x+3)= | | 6x+7=-3 | | 3p-(p-5)=2(p+4) | | A=a+(n-1)d |

Equations solver categories