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Simplifying 100e10 * l(6l(6l + -110) + 3006) + -3000 = 0 Reorder the terms: 100e10 * l(6l(-110 + 6l) + 3006) + -3000 = 0 100e10 * l((-110 * 6l + 6l * 6l) + 3006) + -3000 = 0 100e10 * l((-660l + 36l2) + 3006) + -3000 = 0 Reorder the terms: 100e10 * l(3006 + -660l + 36l2) + -3000 = 0 Multiply e10 * l 100e10l(3006 + -660l + 36l2) + -3000 = 0 (3006 * 100e10l + -660l * 100e10l + 36l2 * 100e10l) + -3000 = 0 (300600e10l + -66000e10l2 + 3600e10l3) + -3000 = 0 Reorder the terms: -3000 + 300600e10l + -66000e10l2 + 3600e10l3 = 0 Solving -3000 + 300600e10l + -66000e10l2 + 3600e10l3 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '3000' to each side of the equation. -3000 + 300600e10l + -66000e10l2 + 3000 + 3600e10l3 = 0 + 3000 Reorder the terms: -3000 + 3000 + 300600e10l + -66000e10l2 + 3600e10l3 = 0 + 3000 Combine like terms: -3000 + 3000 = 0 0 + 300600e10l + -66000e10l2 + 3600e10l3 = 0 + 3000 300600e10l + -66000e10l2 + 3600e10l3 = 0 + 3000 Combine like terms: 0 + 3000 = 3000 300600e10l + -66000e10l2 + 3600e10l3 = 3000 Reorder the terms: -3000 + 300600e10l + -66000e10l2 + 3600e10l3 = 3000 + -3000 Combine like terms: 3000 + -3000 = 0 -3000 + 300600e10l + -66000e10l2 + 3600e10l3 = 0 Factor out the Greatest Common Factor (GCF), '600'. 600(-5 + 501e10l + -110e10l2 + 6e10l3) = 0 Ignore the factor 600.Subproblem 1
Set the factor '(-5 + 501e10l + -110e10l2 + 6e10l3)' equal to zero and attempt to solve: Simplifying -5 + 501e10l + -110e10l2 + 6e10l3 = 0 Solving -5 + 501e10l + -110e10l2 + 6e10l3 = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 501e10l + -110e10l2 + 5 + 6e10l3 = 0 + 5 Reorder the terms: -5 + 5 + 501e10l + -110e10l2 + 6e10l3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 501e10l + -110e10l2 + 6e10l3 = 0 + 5 501e10l + -110e10l2 + 6e10l3 = 0 + 5 Combine like terms: 0 + 5 = 5 501e10l + -110e10l2 + 6e10l3 = 5 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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