(4i)(-10i)=quation

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Solution for (4i)(-10i)=quation equation: 


Simplifying
(4i)(-10i) = quation

Remove parenthesis around (4i)
4i(-10i) = quation

Remove parenthesis around (-10i)
4i * -10i = quation

Reorder the terms for easier multiplication:
4 * -10i * i = quation

Multiply 4 * -10
-40i * i = quation

Multiply i * i
-40i2 = quation

Solving
-40i2 = ainoqtu

Solving for variable 'i'.

Reorder the terms:
-1ainoqtu + -40i2 = ainoqtu + -1ainoqtu

Combine like terms: ainoqtu + -1ainoqtu = 0
-1ainoqtu + -40i2 = 0

Factor out the Greatest Common Factor (GCF), '-1i'.
-1i(anoqtu + 40i) = 0

Ignore the factor -1.

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 '(anoqtu + 40i)' equal to zero and attempt to solve:

Simplifying
anoqtu + 40i = 0

Solving
anoqtu + 40i = 0

Move all terms containing i to the left, all other terms to the right.

Add '-1anoqtu' to each side of the equation.
anoqtu + -1anoqtu + 40i = 0 + -1anoqtu

Combine like terms: anoqtu + -1anoqtu = 0
0 + 40i = 0 + -1anoqtu
40i = 0 + -1anoqtu
Remove the zero:
40i = -1anoqtu

Divide each side by '40'.
i = -0.025anoqtu

Simplifying
i = -0.025anoqtu
Solution
i = {0, -0.025anoqtu}

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