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Type the correct answer in each box. Write your answers in decimal form, rounded to the nearest tenth, if necessary. Type the solution with the smaller value in the first blank. (Hint: to complete your calculations, you may need to use mental math.) Select and use the most direct method to solve 2x(x + 1.5) = -1.

Respuesta :

Answer:

-1/2 and -1

Step-by-step explanation:

This is the answer I used in my test, not sure if it is correct, but hope it helps!

The solution to the given algebraic equation is: x = -1/2 or x = -1.

How to Solve an Algebraic Equation?

To solve an algebraic equation, isolate the variable in the equation. Its value is the solution.

Given the following algebraic equation:

2x(x + 1.5) = -1

Open bracket

2x² + 3x = -1

2x² + 3x + 1 = 0

Factorize

2x² + 2x + x + 1 = 0

(2x² + 2x) + (x + 1) = 0

2x(x + 1) +1(x + 1) = 0

(2x + 1)(x + 1) = 0

2x + 1 = 0

2x = -1

x = -1/2

Or

x + 1 = 0

x = -1

Therefore, the solution to the given algebraic equation is: x = -1/2 or x = -1.

Learn more about algebraic equation on:

https://brainly.com/question/2164351