the quotient of 24 and x equals 14 minus 2 times x

Question

write an equation for the sentence

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Answer 1

Quotient means you're dividing the numbers so:

Multiply both sides by "x" to get:

24 = 14x - 2x²

Subtract 14x and add 2x² to both sides to get:

2x² - 14x + 24 = 0

Divide both sides by 2 to get:

x² - 7x + 12 = 0

Factor to get:

(x - 4)(x - 3) = 0

Set each factor equal to zero to get:

x = 4 or x = 3