(3j)(4j+2)(5j^2-6j+9)=

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Solution for (3j)(4j+2)(5j^2-6j+9)= equation:


Simplifying
(3j)(4j + 2)(5j2 + -6j + 9) = 0

Remove parenthesis around (3j)
3j(4j + 2)(5j2 + -6j + 9) = 0

Reorder the terms:
3j(2 + 4j)(5j2 + -6j + 9) = 0

Reorder the terms:
3j(2 + 4j)(9 + -6j + 5j2) = 0

Multiply (2 + 4j) * (9 + -6j + 5j2)
3j(2(9 + -6j + 5j2) + 4j * (9 + -6j + 5j2)) = 0
3j((9 * 2 + -6j * 2 + 5j2 * 2) + 4j * (9 + -6j + 5j2)) = 0
3j((18 + -12j + 10j2) + 4j * (9 + -6j + 5j2)) = 0
3j(18 + -12j + 10j2 + (9 * 4j + -6j * 4j + 5j2 * 4j)) = 0
3j(18 + -12j + 10j2 + (36j + -24j2 + 20j3)) = 0

Reorder the terms:
3j(18 + -12j + 36j + 10j2 + -24j2 + 20j3) = 0

Combine like terms: -12j + 36j = 24j
3j(18 + 24j + 10j2 + -24j2 + 20j3) = 0

Combine like terms: 10j2 + -24j2 = -14j2
3j(18 + 24j + -14j2 + 20j3) = 0
(18 * 3j + 24j * 3j + -14j2 * 3j + 20j3 * 3j) = 0
(54j + 72j2 + -42j3 + 60j4) = 0

Solving
54j + 72j2 + -42j3 + 60j4 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '6j'.
6j(9 + 12j + -7j2 + 10j3) = 0

Ignore the factor 6.

Subproblem 1

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

Subproblem 2

Set the factor '(9 + 12j + -7j2 + 10j3)' equal to zero and attempt to solve: Simplifying 9 + 12j + -7j2 + 10j3 = 0 Solving 9 + 12j + -7j2 + 10j3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

j = {0}

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