(9+9i)(4+i)=0

Simple and best practice solution for (9+9i)(4+i)=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 (9+9i)(4+i)=0 equation:


Simplifying
(9 + 9i)(4 + i) = 0

Multiply (9 + 9i) * (4 + i)
(9(4 + i) + 9i * (4 + i)) = 0
((4 * 9 + i * 9) + 9i * (4 + i)) = 0
((36 + 9i) + 9i * (4 + i)) = 0
(36 + 9i + (4 * 9i + i * 9i)) = 0
(36 + 9i + (36i + 9i2)) = 0

Combine like terms: 9i + 36i = 45i
(36 + 45i + 9i2) = 0

Solving
36 + 45i + 9i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '9'.
9(4 + 5i + i2) = 0

Factor a trinomial.
9((4 + i)(1 + i)) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(4 + i)' equal to zero and attempt to solve: Simplifying 4 + i = 0 Solving 4 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + i = 0 + -4 i = 0 + -4 Combine like terms: 0 + -4 = -4 i = -4 Simplifying i = -4

Subproblem 2

Set the factor '(1 + i)' equal to zero and attempt to solve: Simplifying 1 + i = 0 Solving 1 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i = 0 + -1 i = 0 + -1 Combine like terms: 0 + -1 = -1 i = -1 Simplifying i = -1

Solution

i = {-4, -1}

See similar equations:

| 5+x^2+16x=-10 | | -9=-8(1+6X)-1 | | 12h+3h-9h+h-11h+7h+16h= | | 7(3s+2)=287 | | 6*x=4*x+6 | | 6x^2+3-1=0 | | x^2+5x-54=2x | | 5x-4+w=76 | | 4+66x=44+28 | | -7x+x^2=30 | | 5(2l+7)=45 | | -5a+21+2a=7a-3a | | 16x-9=13x-15 | | 8p+5(p+3)=3(7p-1) | | x^2+220+32x= | | 4+66x=-24+28 | | 3(a-3)=63 | | 1000+x^2+65= | | -x+5x+6=8x+30 | | -280+x^2+-33x= | | 32+12x+x^2= | | 7o+9o+0=99 | | 13+5=-3(4x-6) | | x^2-45x+450= | | 2m*m+2m*3= | | 6x+999x+x+x+x+x=20000 | | 2(3x+7)=-19+27 | | 5b-1=8 | | 2(3x+7)=-9+27 | | 3b+2b-1=8 | | 6.4x-1.4=5.0 | | 44.5-7x=5x-3.5 |

Equations solver categories