3l^2x-5=4

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Solution for 3l^2x-5=4 equation:


Simplifying
3l2x + -5 = 4

Reorder the terms:
-5 + 3l2x = 4

Solving
-5 + 3l2x = 4

Solving for variable 'l'.

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

Add '5' to each side of the equation.
-5 + 5 + 3l2x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 3l2x = 4 + 5
3l2x = 4 + 5

Combine like terms: 4 + 5 = 9
3l2x = 9

Divide each side by '3x'.
l2 = 3x-1

Simplifying
l2 = 3x-1

Combine like terms: 3x-1 + -3x-1 = 0
l2 + -3x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(l2x + -3) = 0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing l to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 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 '(l2x + -3)' equal to zero and attempt to solve: Simplifying l2x + -3 = 0 Reorder the terms: -3 + l2x = 0 Solving -3 + l2x = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + l2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + l2x = 0 + 3 l2x = 0 + 3 Combine like terms: 0 + 3 = 3 l2x = 3 Divide each side by 'x'. l2 = 3x-1 Simplifying l2 = 3x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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