7=lx+9l+7

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Solution for 7=lx+9l+7 equation:


Simplifying
7 = lx + 9l + 7

Reorder the terms:
7 = 7 + 9l + lx

Add '-7' to each side of the equation.
7 + -7 = 7 + 9l + -7 + lx

Combine like terms: 7 + -7 = 0
0 = 7 + 9l + -7 + lx

Reorder the terms:
0 = 7 + -7 + 9l + lx

Combine like terms: 7 + -7 = 0
0 = 0 + 9l + lx
0 = 9l + lx

Solving
0 = 9l + lx

Solving for variable 'l'.

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

Add '-9l' to each side of the equation.
0 + -9l = 9l + -9l + lx
Remove the zero:
-9l = 9l + -9l + lx

Combine like terms: 9l + -9l = 0
-9l = 0 + lx
-9l = lx

Add '-1lx' to each side of the equation.
-9l + -1lx = lx + -1lx

Combine like terms: lx + -1lx = 0
-9l + -1lx = 0

Factor out the Greatest Common Factor (GCF), '-1l'.
-1l(9 + x) = 0

Ignore the factor -1.

Subproblem 1

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

Subproblem 2

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Add '-1x' to each side of the equation. x + -1x = -9 + -1x Combine like terms: x + -1x = 0 0 = -9 + -1x Simplifying 0 = -9 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

l = {0}

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