What are the solutions of the equation 4x2 + 3x = 24 – x?

answer

x = 2

x = -3

step-by-step explanation

4x^2 + 3x = 24 – x move all terms to one side

4x^2 + 4x = 24

4x^2 + 4x - 24 = 0 divide each side by 4

x^2 + x - 6 = 0/4 = 0

factor x^2 + x - 6 by finding two number whose product is -6 and sum is x

(x-2)(x+3) set each term equal to 0 and solve for x

x-2 = 0, x = 2

x+3 = 0, x = -3

1. minimum

2. 6400

3. eight

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