i(9-8i)(9-8i)=

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Solution for i(9-8i)(9-8i)= equation: 


Simplifying
i(9 + -8i)(9 + -8i) = 0

Multiply (9 + -8i) * (9 + -8i)
i(9(9 + -8i) + -8i * (9 + -8i)) = 0
i((9 * 9 + -8i * 9) + -8i * (9 + -8i)) = 0
i((81 + -72i) + -8i * (9 + -8i)) = 0
i(81 + -72i + (9 * -8i + -8i * -8i)) = 0
i(81 + -72i + (-72i + 64i2)) = 0

Combine like terms: -72i + -72i = -144i
i(81 + -144i + 64i2) = 0
(81 * i + -144i * i + 64i2 * i) = 0
(81i + -144i2 + 64i3) = 0

Solving
81i + -144i2 + 64i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'i'.
i(81 + -144i + 64i2) = 0

Factor a trinomial.
i((9 + -8i)(9 + -8i)) = 0


Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0

Subproblem 2
Set the factor '(9 + -8i)' equal to zero and attempt to solve:

Simplifying
9 + -8i = 0

Solving
9 + -8i = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8i = 0 + -9
-8i = 0 + -9

Combine like terms: 0 + -9 = -9
-8i = -9

Divide each side by '-8'.
i = 1.125

Simplifying
i = 1.125

Subproblem 3
Set the factor '(9 + -8i)' equal to zero and attempt to solve:

Simplifying
9 + -8i = 0

Solving
9 + -8i = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8i = 0 + -9
-8i = 0 + -9

Combine like terms: 0 + -9 = -9
-8i = -9

Divide each side by '-8'.
i = 1.125

Simplifying
i = 1.125
Solution
i = {0, 1.125, 1.125}

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