Find the vertex of the parabola y=-2x^2-8x-15

The equation 7x + 3x - 18 = 6(x + 3) has been solved using the given properties and the value of "x" is found to be 9

Solution:

Given that we have to solve the equation 7x + 3x - 18 = 6(x + 3)

⇒ 7x + 3x - 18 = 6(x + 3)

Step 1: Combine like terms

⇒ 10x  - 18 = 6(x + 3)

Step 2: Distributive Property

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products

⇒ 10x  - 18 = 6x + 18

Step 3: Subtraction Property of Equality

The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same

⇒ 10x -18 - 6x = 6x + 18 - 6x

⇒ 10x - 18 -6x = 18

Step 4: Combining like terms

⇒ 4x - 18 = 18

Step 5: Addition Property of Equality

The property that states that if you add the same number to both sides of an equation, the sides remain equal

⇒ 4x - 18 + 18 = 18 + 18

⇒ 4x = 36

Step 6: Division Property of Equality

The Division Property of Equality states that if you divide both sides of an equation by the same nonzero number, the sides remain equal.

⇒

⇒ x = 9

Thus the properties are used and x is equal to 9