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