(-7+i)(9+i)=

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


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

Multiply (-7 + i) * (9 + i)
(-7(9 + i) + i(9 + i)) = 0
((9 * -7 + i * -7) + i(9 + i)) = 0
((-63 + -7i) + i(9 + i)) = 0
(-63 + -7i + (9 * i + i * i)) = 0
(-63 + -7i + (9i + i2)) = 0

Combine like terms: -7i + 9i = 2i
(-63 + 2i + i2) = 0

Solving
-63 + 2i + i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-9 + -1i)(7 + -1i) = 0

Subproblem 1

Set the factor '(-9 + -1i)' equal to zero and attempt to solve: Simplifying -9 + -1i = 0 Solving -9 + -1i = 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 + -1i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1i = 0 + 9 -1i = 0 + 9 Combine like terms: 0 + 9 = 9 -1i = 9 Divide each side by '-1'. i = -9 Simplifying i = -9

Subproblem 2

Set the factor '(7 + -1i)' equal to zero and attempt to solve: Simplifying 7 + -1i = 0 Solving 7 + -1i = 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 + -1i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1i = 0 + -7 -1i = 0 + -7 Combine like terms: 0 + -7 = -7 -1i = -7 Divide each side by '-1'. i = 7 Simplifying i = 7

Solution

i = {-9, 7}

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