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Solve. (1/2x-1)(5x^2+4x-8)

Please show work.

User Xlrg
by
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1 Answer

3 votes

Answer:

you answer would be x = 2

Explanation:

6x - 2 + 2x = -2 + 4x + 8

Simplifying

6x + -2 + 2x = -2 + 4x + 8

Reorder the terms:

-2 + 6x + 2x = -2 + 4x + 8

Combine like terms: 6x + 2x = 8x

-2 + 8x = -2 + 4x + 8

Reorder the terms:

-2 + 8x = -2 + 8 + 4x

Combine like terms: -2 + 8 = 6

-2 + 8x = 6 + 4x

Solving

-2 + 8x = 6 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-2 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x

-2 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0

-2 + 4x = 6 + 0

-2 + 4x = 6

Add '2' to each side of the equation.

-2 + 2 + 4x = 6 + 2

Combine like terms: -2 + 2 = 0

0 + 4x = 6 + 2

4x = 6 + 2

Combine like terms: 6 + 2 = 8

4x = 8

Divide each side by '4'.

x = 2

Simplifying

x = 2

User Tomitrescak
by
5.0k points