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

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Solution for (-6+7i)(6-7i)= equation:


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

Multiply (-6 + 7i) * (6 + -7i)
(-6(6 + -7i) + 7i * (6 + -7i)) = 0
((6 * -6 + -7i * -6) + 7i * (6 + -7i)) = 0
((-36 + 42i) + 7i * (6 + -7i)) = 0
(-36 + 42i + (6 * 7i + -7i * 7i)) = 0
(-36 + 42i + (42i + -49i2)) = 0

Combine like terms: 42i + 42i = 84i
(-36 + 84i + -49i2) = 0

Solving
-36 + 84i + -49i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-6 + 7i)(6 + -7i) = 0

Subproblem 1

Set the factor '(-6 + 7i)' equal to zero and attempt to solve: Simplifying -6 + 7i = 0 Solving -6 + 7i = 0 Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7i = 0 + 6 7i = 0 + 6 Combine like terms: 0 + 6 = 6 7i = 6 Divide each side by '7'. i = 0.8571428571 Simplifying i = 0.8571428571

Subproblem 2

Set the factor '(6 + -7i)' equal to zero and attempt to solve: Simplifying 6 + -7i = 0 Solving 6 + -7i = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7i = 0 + -6 -7i = 0 + -6 Combine like terms: 0 + -6 = -6 -7i = -6 Divide each side by '-7'. i = 0.8571428571 Simplifying i = 0.8571428571

Solution

i = {0.8571428571, 0.8571428571}

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