(8+6i)(7-8i)=0

Simple and best practice solution for (8+6i)(7-8i)=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 (8+6i)(7-8i)=0 equation: 


Simplifying
(8 + 6i)(7 + -8i) = 0

Multiply (8 + 6i) * (7 + -8i)
(8(7 + -8i) + 6i * (7 + -8i)) = 0
((7 * 8 + -8i * 8) + 6i * (7 + -8i)) = 0
((56 + -64i) + 6i * (7 + -8i)) = 0
(56 + -64i + (7 * 6i + -8i * 6i)) = 0
(56 + -64i + (42i + -48i2)) = 0

Combine like terms: -64i + 42i = -22i
(56 + -22i + -48i2) = 0

Solving
56 + -22i + -48i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + -11i + -24i2) = 0

Factor a trinomial.
2((7 + -8i)(4 + 3i)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -8i)' equal to zero and attempt to solve:

Simplifying
7 + -8i = 0

Solving
7 + -8i = 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 + -8i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8i = 0 + -7
-8i = 0 + -7

Combine like terms: 0 + -7 = -7
-8i = -7

Divide each side by '-8'.
i = 0.875

Simplifying
i = 0.875

Subproblem 2
Set the factor '(4 + 3i)' equal to zero and attempt to solve:

Simplifying
4 + 3i = 0

Solving
4 + 3i = 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 + 3i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3i = 0 + -4
3i = 0 + -4

Combine like terms: 0 + -4 = -4
3i = -4

Divide each side by '3'.
i = -1.333333333

Simplifying
i = -1.333333333
Solution
i = {0.875, -1.333333333}

See similar equations:

| 53=4w-11 | | 24x-198=50x | | 5+r-2=9 | | 5F+1.35=X+1.10 | | -20=-4x-6xQ | | 24x-146=50x | | 24x-148=50x | | x=2+-1 | | 135-32x=179 | | 3x-8=0.5(8x+4) | | 3x-40=2x+13 | | 7m+7=6m+15 | | 0.5(t-12)=1.5t-3 | | x^2-8=x^3-16 | | 45=8k+13 | | 28=4/7u | | 19=8x+3x-6x | | 5.8(x-4)=-.2x+12.8 | | 2x+45-12y=12 | | C=38.16+0.25x | | -4d+5=-19 | | 17+8x=-13 | | 5x+1.35=Y+1.10 | | w-3+6-1= | | t^3-2t^3-8=0 | | -1.2a-6.8=2.2a | | -21=6x-3 | | 7c+8c=-28 | | 7f+4=32 | | 1.67-7=5x+24 | | 7.8b=.3b+2.5 | | 3x+(2x)=10 |

Equations solver categories