3j^3-51j^2+210j=0

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Solution for 3j^3-51j^2+210j=0 equation:


Simplifying
3j3 + -51j2 + 210j = 0

Reorder the terms:
210j + -51j2 + 3j3 = 0

Solving
210j + -51j2 + 3j3 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '3j'.
3j(70 + -17j + j2) = 0

Factor a trinomial.
3j((7 + -1j)(10 + -1j)) = 0

Ignore the factor 3.

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 '(7 + -1j)' equal to zero and attempt to solve: Simplifying 7 + -1j = 0 Solving 7 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1j = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1j = 0 + -7 -1j = 0 + -7 Combine like terms: 0 + -7 = -7 -1j = -7 Divide each side by '-1'. j = 7 Simplifying j = 7

Subproblem 3

Set the factor '(10 + -1j)' equal to zero and attempt to solve: Simplifying 10 + -1j = 0 Solving 10 + -1j = 0 Move all terms containing j to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1j = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1j = 0 + -10 -1j = 0 + -10 Combine like terms: 0 + -10 = -10 -1j = -10 Divide each side by '-1'. j = 10 Simplifying j = 10

Solution

j = {0, 7, 10}

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