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15.07.2022 - 03:25

What are the solutions to x(2x+4) = 6x+24?

Question:

What are the solutions to x(2x+4) = 6x+24?

Answers (1)

Reuben April 13, 2023 в 14:18

The first step to solving this equation is to simplify the left-hand side by using the distributive property: x(2x+4) = 6x+24 2x^2 + 4x = 6x + 24 Next, we can move all the terms to one side of the equation and simplify: 2x^2 - 2x - 24 = 0 Factor out the common factor of 2: 2(x^2 - x - 12) = 0 Factor the \quadratic expression in parentheses using the product-sum method: 2(x-4)(x+3) = 0 Using the zero product property, we can set each factor equal to zero: x-4=0 or x+3=0 Solving for x, we get: x = 4 or x = -3 Therefore, the solutions to x(2x+4) = 6x+24 are x = 4 and x = -3.

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