The completing the square is {-4, 2}
what is completing the square?
Completing the Square. Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial . To solve a x 2 + b x + c = 0 by completing the square
According to the question,
Simplifying
6x2 + 12x - 48 = 0
Reorder the terms:
-48 + 12x + 6x2 = 0
Solving
-48 + 12x + 6x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '6'.
6(-8 + 2x + x2) = 0
Factor a trinomial.
6((-4 + -1x)(2 + -1x)) = 0
Ignore the factor 6.
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:
Simplifying
-4 + -1x = 0
Solving
-4 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4
Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4
Combine like terms: 0 + 4 = 4
-1x = 4
Divide each side by '-1'.
x = -4
Simplifying
x = -4
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms: 0 + -2 = -2
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
Solution
x = {-4, 2}
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