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Simplifying 4l4 + 36l3 + 56l2 = 0 Reorder the terms: 56l2 + 36l3 + 4l4 = 0 Solving 56l2 + 36l3 + 4l4 = 0 Solving for variable 'l'. Factor out the Greatest Common Factor (GCF), '4l2'. 4l2(14 + 9l + l2) = 0 Factor a trinomial. 4l2((7 + l)(2 + l)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'l2' equal to zero and attempt to solve: Simplifying l2 = 0 Solving l2 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l2 = 0 Take the square root of each side: l = {0}Subproblem 2
Set the factor '(7 + l)' equal to zero and attempt to solve: Simplifying 7 + l = 0 Solving 7 + l = 0 Move all terms containing l to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + l = 0 + -7 Combine like terms: 7 + -7 = 0 0 + l = 0 + -7 l = 0 + -7 Combine like terms: 0 + -7 = -7 l = -7 Simplifying l = -7Subproblem 3
Set the factor '(2 + l)' equal to zero and attempt to solve: Simplifying 2 + l = 0 Solving 2 + l = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + l = 0 + -2 Combine like terms: 2 + -2 = 0 0 + l = 0 + -2 l = 0 + -2 Combine like terms: 0 + -2 = -2 l = -2 Simplifying l = -2Solution
l = {0, -7, -2}
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