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I can't figure out how to do this problem:

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1 Answer

Simplifying
x(x + -6)[3x + -1x(7 + -2x)]

Reorder the terms:
x(-6 + x)[3x + -1x(7 + -2x)]
x(-6 + x)[3x + (7 * -1x + -2x * -1x)]
x(-6 + x)[3x + (-7x + 2x2)]

Combine like terms: 3x + -7x = -4x
x(-6 + x)[-4x + 2x2]

Multiply (-6 + x) * [-4x + 2x2]
x(-6[-4x + 2x2] + x[-4x + 2x2])
x([-4x * -6 + 2x2 * -6] + x[-4x + 2x2])
x([24x + -12x2] + x[-4x + 2x2])
x(24x + -12x2 + [-4x * x + 2x2 * x])
x(24x + -12x2 + [-4x2 + 2x3])

Combine like terms: -12x2 + -4x2 = -16x2
x(24x + -16x2 + 2x3)
(24x * x + -16x2 * x + 2x3 * x)
(24x2 + -16x3 + 2x4)

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(12 + -8x + x2)

Factor a trinomial.
2x2((2 + -1x)(6 + -1x))
 
Final result:2x2(2 + -1x)(6 + -1x)