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3 years ago

How do I do this problem -6(x+1)-18=26+4

Mathematics

1 answer:

pogonyaev3 years ago

5 0

Answer:

x=-9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−6(x+1)−18=26+4

(−6)(x)+(−6)(1)+−18=26+4(Distribute)

−6x+−6+−18=26+4

(−6x)+(−6+−18)=(26+4)(Combine Like Terms)

−6x+−24=30

−6x−24=30

Step 2: Add 24 to both sides.

−6x−24+24=30+24

−6x=54

Step 3: Divide both sides by -6.

−6x

−6

x=−9

Answer:

x=−9

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$\boxed {\boxed {\sf x=2}}$

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

$x=\frac{-b}{2a}$

First we must determine a and b from the quadratic: $-x^2+4x-8$ . This is in standard form, with the highest power first in descending order.

Standard form is also: $ax^2+bx+c$

If we compare this to the quadratic given, we can conclude that:

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Substitute the values for a and b into the formula.

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Multiply in the denominator.

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Divide.

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