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Use the Distributive Property to simplify 6x²[(3x - 4) + (4x + 2)]

User Nayan Srivastava
by
3.0k points

1 Answer

23 votes
23 votes

Answer: 0

Explanation:

Simplifying

6x2[(3x + -4) + (4x + 2)] = 0

Reorder the terms:

6x2[(-4 + 3x) + (4x + 2)] = 0

Remove parenthesis around (-4 + 3x)

6x2[-4 + 3x + (4x + 2)] = 0

Reorder the terms:

6x2[-4 + 3x + (2 + 4x)] = 0

Remove parenthesis around (2 + 4x)

6x2[-4 + 3x + 2 + 4x] = 0

Reorder the terms:

6x2[-4 + 2 + 3x + 4x] = 0

Combine like terms: -4 + 2 = -2

6x2[-2 + 3x + 4x] = 0

Combine like terms: 3x + 4x = 7x

6x2[-2 + 7x] = 0

[-2 * 6x2 + 7x * 6x2] = 0

[-12x2 + 42x3] = 0

Solving

-12x2 + 42x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.

6x2(-2 + 7x) = 0

Ignore the factor 6.

User Andrew Stacey
by
3.0k points
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