Factorise the 2 questions above (c and f)

5x² - 50x + 120

Factor out the LCF which is 5

We have

5( x² - 10x + 24)

Write 10x as a difference

That's

5( x² - 6x - 4x + 24)

Simplify

Factor the expression

5 [ x ( x - 6) - 4( x - 6) ]

Factor out x - 4 from the expression

We have the final answer as

2x² - 6x - 260

Factor out 2 from the expression

That's

2 ( x² - 3x - 130)

Write 3x as a difference

That's

2 ( x² + 10x - 13x - 130)

Factorize the expression

2 [ x ( x + 10) - 13 ( x + 10) ]

Factor out x + 10 from the expression

We have the final answer as

Hope this helps you

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

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

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

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

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

step-by-step explanation:

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