9j(j+5)=3j(3j+10)

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Solution for 9j(j+5)=3j(3j+10) equation: 


Simplifying
9j(j + 5) = 3j(3j + 10)

Reorder the terms:
9j(5 + j) = 3j(3j + 10)
(5 * 9j + j * 9j) = 3j(3j + 10)
(45j + 9j2) = 3j(3j + 10)

Reorder the terms:
45j + 9j2 = 3j(10 + 3j)
45j + 9j2 = (10 * 3j + 3j * 3j)
45j + 9j2 = (30j + 9j2)

Add '-9j2' to each side of the equation.
45j + 9j2 + -9j2 = 30j + 9j2 + -9j2

Combine like terms: 9j2 + -9j2 = 0
45j + 0 = 30j + 9j2 + -9j2
45j = 30j + 9j2 + -9j2

Combine like terms: 9j2 + -9j2 = 0
45j = 30j + 0
45j = 30j

Solving
45j = 30j

Solving for variable 'j'.

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

Add '-30j' to each side of the equation.
45j + -30j = 30j + -30j

Combine like terms: 45j + -30j = 15j
15j = 30j + -30j

Combine like terms: 30j + -30j = 0
15j = 0

Divide each side by '15'.
j = 0

Simplifying
j = 0

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