15x^3+38x^2-23x-6=(5x+1)(x+3)l

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Solution for 15x^3+38x^2-23x-6=(5x+1)(x+3)l equation:


Simplifying
15x3 + 38x2 + -23x + -6 = (5x + 1)(x + 3) * l

Reorder the terms:
-6 + -23x + 38x2 + 15x3 = (5x + 1)(x + 3) * l

Reorder the terms:
-6 + -23x + 38x2 + 15x3 = (1 + 5x)(x + 3) * l

Reorder the terms:
-6 + -23x + 38x2 + 15x3 = (1 + 5x)(3 + x) * l

Reorder the terms for easier multiplication:
-6 + -23x + 38x2 + 15x3 = l(1 + 5x)(3 + x)

Multiply (1 + 5x) * (3 + x)
-6 + -23x + 38x2 + 15x3 = l(1(3 + x) + 5x * (3 + x))
-6 + -23x + 38x2 + 15x3 = l((3 * 1 + x * 1) + 5x * (3 + x))
-6 + -23x + 38x2 + 15x3 = l((3 + 1x) + 5x * (3 + x))
-6 + -23x + 38x2 + 15x3 = l(3 + 1x + (3 * 5x + x * 5x))
-6 + -23x + 38x2 + 15x3 = l(3 + 1x + (15x + 5x2))

Combine like terms: 1x + 15x = 16x
-6 + -23x + 38x2 + 15x3 = l(3 + 16x + 5x2)
-6 + -23x + 38x2 + 15x3 = (3 * l + 16x * l + 5x2 * l)
-6 + -23x + 38x2 + 15x3 = (3l + 16lx + 5lx2)

Solving
-6 + -23x + 38x2 + 15x3 = 3l + 16lx + 5lx2

Solving for variable 'x'.

Reorder the terms:
-6 + -3l + -16lx + -5lx2 + -23x + 38x2 + 15x3 = 3l + 16lx + 5lx2 + -3l + -16lx + -5lx2

Reorder the terms:
-6 + -3l + -16lx + -5lx2 + -23x + 38x2 + 15x3 = 3l + -3l + 16lx + -16lx + 5lx2 + -5lx2

Combine like terms: 3l + -3l = 0
-6 + -3l + -16lx + -5lx2 + -23x + 38x2 + 15x3 = 0 + 16lx + -16lx + 5lx2 + -5lx2
-6 + -3l + -16lx + -5lx2 + -23x + 38x2 + 15x3 = 16lx + -16lx + 5lx2 + -5lx2

Combine like terms: 16lx + -16lx = 0
-6 + -3l + -16lx + -5lx2 + -23x + 38x2 + 15x3 = 0 + 5lx2 + -5lx2
-6 + -3l + -16lx + -5lx2 + -23x + 38x2 + 15x3 = 5lx2 + -5lx2

Combine like terms: 5lx2 + -5lx2 = 0
-6 + -3l + -16lx + -5lx2 + -23x + 38x2 + 15x3 = 0

The solution to this equation could not be determined.

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