192=(4)(l)(l+2)

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Solution for 192=(4)(l)(l+2) equation:


Simplifying
192 = (4)(l)(l + 2)

Reorder the terms:
192 = 4l(2 + l)
192 = (2 * 4l + l * 4l)
192 = (8l + 4l2)

Solving
192 = 8l + 4l2

Solving for variable 'l'.

Reorder the terms:
192 + -8l + -4l2 = 8l + -8l + 4l2 + -4l2

Combine like terms: 8l + -8l = 0
192 + -8l + -4l2 = 0 + 4l2 + -4l2
192 + -8l + -4l2 = 4l2 + -4l2

Combine like terms: 4l2 + -4l2 = 0
192 + -8l + -4l2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(48 + -2l + -1l2) = 0

Factor a trinomial.
4((6 + -1l)(8 + l)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(6 + -1l)' equal to zero and attempt to solve: Simplifying 6 + -1l = 0 Solving 6 + -1l = 0 Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1l = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1l = 0 + -6 -1l = 0 + -6 Combine like terms: 0 + -6 = -6 -1l = -6 Divide each side by '-1'. l = 6 Simplifying l = 6

Subproblem 2

Set the factor '(8 + l)' equal to zero and attempt to solve: Simplifying 8 + l = 0 Solving 8 + l = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + l = 0 + -8 Combine like terms: 8 + -8 = 0 0 + l = 0 + -8 l = 0 + -8 Combine like terms: 0 + -8 = -8 l = -8 Simplifying l = -8

Solution

l = {6, -8}

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