Mathematics Middle School

The question says to simplify it(4x-1)+(-6x+3)

Answers

Answer 1

Step-by-step explanation:

(4x - 1) + (-6x + 3)

Combine 4x and -6x to get -2x

-2x + 1 - 3

Subtract 3 from 1 to get -2

-2x - 2

Answer 2

Answer: -2x - 2

Step-by-step explanation:

Related Questions

Solve the polynomial by completing the square. Show all steps of your work.[tex]x^2+10x+14=-7[/tex]

Answers

Answer:

-3, - 7

Step-by-step explanation:

x² + 10x + 14 = -7

x² + 10 x + 21 = 0

Now let's complete the square.

(x + 5)² - 25 + 21 = 0

(x+5)² - 4 = 0

(x+5)² = 4

x + 5 = ± root 4 = ± 2

x = +2-5 or -2-5 = -3 or -7

The values of x that meet the equation x2 + 10x + 14 = -7 are x = -3 and x = -7.

The given equation is: x2 + 10x + 14 = -7.

Transfer the constant term to the opposite side of the equation:

x2 + 10x + 14 + 7 = 0.

Combine comparable terms to simplify the equation: x2 + 10x + 21 = 0.

Complete the square by rewriting the equation with a constant term. To do so, square half of the coefficient of x (which is 10):

Half of ten equals five, and five squared equals twenty-five. Insert 25 into the equation:

x^2 + 10x + 25 + 21 - 25 = 0

Rearrange the terms as follows:

(x2 + 10x + 25) + (21 - 25) = 0.

Reduce the first set of brackets to a perfect square trinomial:

[tex](x + 5)^2 + (-4) = 0[/tex]

Reduce the number of constant terms:

[tex](x + 5)^2 - 4 = 0[/tex]

To find x, take the square root of both sides:

[tex]√((x + 5)^2 - 4) = √0[/tex]

Determine x: x + 5 = 4

To simplify even further, we have: x + 5 = 2

Solve for x separately:

x = -5 + 2 = -3 x = -5 - 2 = -7

As a result, the answers to the equation x2 + 10x + 14 = -7 are x = -3 and x = -7.

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