-4i(7-6i)-6i(7-7i)=

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Solution for -4i(7-6i)-6i(7-7i)= equation:


Simplifying
-4i(7 + -6i) + -6i(7 + -7i) = 0
(7 * -4i + -6i * -4i) + -6i(7 + -7i) = 0
(-28i + 24i2) + -6i(7 + -7i) = 0
-28i + 24i2 + (7 * -6i + -7i * -6i) = 0
-28i + 24i2 + (-42i + 42i2) = 0

Reorder the terms:
-28i + -42i + 24i2 + 42i2 = 0

Combine like terms: -28i + -42i = -70i
-70i + 24i2 + 42i2 = 0

Combine like terms: 24i2 + 42i2 = 66i2
-70i + 66i2 = 0

Solving
-70i + 66i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2i'.
2i(-35 + 33i) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0

Subproblem 2

Set the factor '(-35 + 33i)' equal to zero and attempt to solve: Simplifying -35 + 33i = 0 Solving -35 + 33i = 0 Move all terms containing i to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 33i = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 33i = 0 + 35 33i = 0 + 35 Combine like terms: 0 + 35 = 35 33i = 35 Divide each side by '33'. i = 1.060606061 Simplifying i = 1.060606061

Solution

i = {0, 1.060606061}

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