-7hi-5i+2j+1=-10i+7j-10

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Solution for -7hi-5i+2j+1=-10i+7j-10 equation:


Simplifying
-7hi + -5i + 2j + 1 = -10i + 7j + -10

Reorder the terms:
1 + -7hi + -5i + 2j = -10i + 7j + -10

Reorder the terms:
1 + -7hi + -5i + 2j = -10 + -10i + 7j

Solving
1 + -7hi + -5i + 2j = -10 + -10i + 7j

Solving for variable 'h'.

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

Add '-1' to each side of the equation.
1 + -7hi + -5i + -1 + 2j = -10 + -10i + -1 + 7j

Reorder the terms:
1 + -1 + -7hi + -5i + 2j = -10 + -10i + -1 + 7j

Combine like terms: 1 + -1 = 0
0 + -7hi + -5i + 2j = -10 + -10i + -1 + 7j
-7hi + -5i + 2j = -10 + -10i + -1 + 7j

Reorder the terms:
-7hi + -5i + 2j = -10 + -1 + -10i + 7j

Combine like terms: -10 + -1 = -11
-7hi + -5i + 2j = -11 + -10i + 7j

Add '5i' to each side of the equation.
-7hi + -5i + 5i + 2j = -11 + -10i + 5i + 7j

Combine like terms: -5i + 5i = 0
-7hi + 0 + 2j = -11 + -10i + 5i + 7j
-7hi + 2j = -11 + -10i + 5i + 7j

Combine like terms: -10i + 5i = -5i
-7hi + 2j = -11 + -5i + 7j

Add '-2j' to each side of the equation.
-7hi + 2j + -2j = -11 + -5i + 7j + -2j

Combine like terms: 2j + -2j = 0
-7hi + 0 = -11 + -5i + 7j + -2j
-7hi = -11 + -5i + 7j + -2j

Combine like terms: 7j + -2j = 5j
-7hi = -11 + -5i + 5j

Divide each side by '-7i'.
h = 1.571428571i-1 + 0.7142857143 + -0.7142857143i-1j

Simplifying
h = 1.571428571i-1 + 0.7142857143 + -0.7142857143i-1j

Reorder the terms:
h = 0.7142857143 + 1.571428571i-1 + -0.7142857143i-1j

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