Respuesta :

The equation have only solution ,x = 6 or x = -6

What is  solution of equation?

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true. For equations having one unknown, raised to a single power, two fundamental rules of algebra, including the additive property and the multiplicative property, are used to determine its solutions.

we have

x = 6

According to the question

(A) x = 0

(B) x = 6

(C) x = -6

(D) x = 6 , x = -6

(A)

Apply powers of zero to write the equation:

6x = 0

Divide both sides of the equation by the coefficient of variable of: x = 0

Answer : x = 0

(B)

Apply powers of zero to write the equation:

x - 6 = 0

Rearrange unknown terms to the left side of the equation: x = 6

Answer : x = 6

(C)

Apply powers of zero to write the equation:

x +6 = 0

Rearrange unknown terms to the left side of the equation: x = -6

Answer : x = - 6

(D)

Apply zero product property that least one factor is zero:

x - 6 = 0 or x + 6 = 0

Rearrange unknown terms to the left side of the equation:

x = -6

Find the union of solutions: x = 6 or x = -6

Answer : x = 6 or x = -6

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