7sq^4-7sj^4=0

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Solution for 7sq^4-7sj^4=0 equation:


Simplifying
7sq4 + -7sj4 = 0

Reorder the terms:
-7j4s + 7q4s = 0

Solving
-7j4s + 7q4s = 0

Solving for variable 'j'.

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

Add '-7q4s' to each side of the equation.
-7j4s + 7q4s + -7q4s = 0 + -7q4s

Combine like terms: 7q4s + -7q4s = 0
-7j4s + 0 = 0 + -7q4s
-7j4s = 0 + -7q4s
Remove the zero:
-7j4s = -7q4s

Divide each side by '-7s'.
j4 = q4

Simplifying
j4 = q4

Combine like terms: q4 + -1q4 = 0
j4 + -1q4 = 0

Factor a difference between two squares.
(j2 + q2)(j2 + -1q2) = 0

Factor a difference between two squares.
(j2 + q2)((j + q)(j + -1q)) = 0

Subproblem 1

Set the factor '(j2 + q2)' equal to zero and attempt to solve: Simplifying j2 + q2 = 0 Solving j2 + q2 = 0 Move all terms containing j to the left, all other terms to the right. Add '-1q2' to each side of the equation. j2 + q2 + -1q2 = 0 + -1q2 Combine like terms: q2 + -1q2 = 0 j2 + 0 = 0 + -1q2 j2 = 0 + -1q2 Remove the zero: j2 = -1q2 Simplifying j2 = -1q2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

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

Subproblem 3

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

Solution

j = {-1q, q}

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