(7-3i)(-2-5i)=

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Solution for (7-3i)(-2-5i)= equation:


Simplifying
(7 + -3i)(-2 + -5i) = 0

Multiply (7 + -3i) * (-2 + -5i)
(7(-2 + -5i) + -3i * (-2 + -5i)) = 0
((-2 * 7 + -5i * 7) + -3i * (-2 + -5i)) = 0
((-14 + -35i) + -3i * (-2 + -5i)) = 0
(-14 + -35i + (-2 * -3i + -5i * -3i)) = 0
(-14 + -35i + (6i + 15i2)) = 0

Combine like terms: -35i + 6i = -29i
(-14 + -29i + 15i2) = 0

Solving
-14 + -29i + 15i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-2 + -5i)(7 + -3i) = 0

Subproblem 1

Set the factor '(-2 + -5i)' equal to zero and attempt to solve: Simplifying -2 + -5i = 0 Solving -2 + -5i = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5i = 0 + 2 -5i = 0 + 2 Combine like terms: 0 + 2 = 2 -5i = 2 Divide each side by '-5'. i = -0.4 Simplifying i = -0.4

Subproblem 2

Set the factor '(7 + -3i)' equal to zero and attempt to solve: Simplifying 7 + -3i = 0 Solving 7 + -3i = 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 + -3i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3i = 0 + -7 -3i = 0 + -7 Combine like terms: 0 + -7 = -7 -3i = -7 Divide each side by '-3'. i = 2.333333333 Simplifying i = 2.333333333

Solution

i = {-0.4, 2.333333333}

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