Lucy has 18 bows. This is greater than four more than twice the number of bows her sister has. How many bows does Lucy’s sister have? Let b = the number of bows her sister has.

x² - 3x - 10

x² = x * x

10 can be factored:

1 x 10 ⇒⇒⇒ difference between factors = 9

2 x 5   ⇒⇒⇒ difference between factors = 3  ⇒ (The correct pair)

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

                = x² + 2x - 5x - 10

                = x² - 3x - 10

∴ x - 5 = 0  ⇒⇒⇒ x = 5

  x + 2 = 0  ⇒⇒⇒ x = -2

I have attached algebra tiles for the given equation.

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Step-by-step explanation: