5i(2i-7)=0

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Solution for 5i(2i-7)=0 equation: 


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

Reorder the terms:
5i(-7 + 2i) = 0
(-7 * 5i + 2i * 5i) = 0
(-35i + 10i2) = 0

Solving
-35i + 10i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '5i'.
5i(-7 + 2i) = 0

Ignore the factor 5.

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 '(-7 + 2i)' equal to zero and attempt to solve:

Simplifying
-7 + 2i = 0

Solving
-7 + 2i = 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 + 2i = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2i = 0 + 7
2i = 0 + 7

Combine like terms: 0 + 7 = 7
2i = 7

Divide each side by '2'.
i = 3.5

Simplifying
i = 3.5
Solution
i = {0, 3.5}

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