(-1+8I)(7+8I)=

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Solution for (-1+8I)(7+8I)= equation:


Simplifying
(-1 + 8I)(7 + 8I) = 0

Multiply (-1 + 8I) * (7 + 8I)
(-1(7 + 8I) + 8I * (7 + 8I)) = 0
((7 * -1 + 8I * -1) + 8I * (7 + 8I)) = 0
((-7 + -8I) + 8I * (7 + 8I)) = 0
(-7 + -8I + (7 * 8I + 8I * 8I)) = 0
(-7 + -8I + (56I + 64I2)) = 0

Combine like terms: -8I + 56I = 48I
(-7 + 48I + 64I2) = 0

Solving
-7 + 48I + 64I2 = 0

Solving for variable 'I'.

Factor a trinomial.
(-7 + -8I)(1 + -8I) = 0

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 '(1 + -8I)' equal to zero and attempt to solve: Simplifying 1 + -8I = 0 Solving 1 + -8I = 0 Move all terms containing I to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8I = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8I = 0 + -1 -8I = 0 + -1 Combine like terms: 0 + -1 = -1 -8I = -1 Divide each side by '-8'. I = 0.125 Simplifying I = 0.125

Solution

I = {-0.875, 0.125}

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