Question

the hcf of (3x-5) (2x+16) and (3x-5) (x+8) is
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Answer 1

Step-by-step explanation:

3x + 5(2 + -1x) = -16

3x + (2 * 5 + -1x * 5) = -16

3x + (10 + -5x) = -16

Reorder the terms:

10 + 3x + -5x = -16

Combine like terms: 3x + -5x = -2x

10 + -2x = -16

Solving

10 + -2x = -16

Solving for variable 'x'.

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

Add '-10' to each side of the equation.

10 + -10 + -2x = -16 + -10

Combine like terms: 10 + -10 = 0

0 + -2x = -16 + -10

-2x = -16 + -10

Combine like terms: -16 + -10 = -26

-2x = -26

Divide each side by '-2'.

x = 13

Simplifying

x = 13