(4-9i)(7-9i)=

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Solution for (4-9i)(7-9i)= equation:


Simplifying
(4 + -9i)(7 + -9i) = 0

Multiply (4 + -9i) * (7 + -9i)
(4(7 + -9i) + -9i * (7 + -9i)) = 0
((7 * 4 + -9i * 4) + -9i * (7 + -9i)) = 0
((28 + -36i) + -9i * (7 + -9i)) = 0
(28 + -36i + (7 * -9i + -9i * -9i)) = 0
(28 + -36i + (-63i + 81i2)) = 0

Combine like terms: -36i + -63i = -99i
(28 + -99i + 81i2) = 0

Solving
28 + -99i + 81i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(4 + -9i)(7 + -9i) = 0

Subproblem 1

Set the factor '(4 + -9i)' equal to zero and attempt to solve: Simplifying 4 + -9i = 0 Solving 4 + -9i = 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 + -9i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9i = 0 + -4 -9i = 0 + -4 Combine like terms: 0 + -4 = -4 -9i = -4 Divide each side by '-9'. i = 0.4444444444 Simplifying i = 0.4444444444

Subproblem 2

Set the factor '(7 + -9i)' equal to zero and attempt to solve: Simplifying 7 + -9i = 0 Solving 7 + -9i = 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 + -9i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9i = 0 + -7 -9i = 0 + -7 Combine like terms: 0 + -7 = -7 -9i = -7 Divide each side by '-9'. i = 0.7777777778 Simplifying i = 0.7777777778

Solution

i = {0.4444444444, 0.7777777778}

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