gbgirl1985
Answered

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Factor the trinomial below COMPLETELY

5x^2 - 20x + 60​

Sagot :

jasminesilva2907
The answer is going to be
5(x-2 ) ( x+6 )
Hopefully it’s right :) .

Simplifying
5x2 + -20x + -60

Reorder the terms:
-60 + -20x + 5x2 = 0

Solving
-60 + -20x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + -4x + x2) = 0

Factor a trinomial.
5((-2 + -1x)(6 + -1x)) = 0

Ignore the factor 5.

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
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
X= { -2 ,6 }
clarch19

Answer:

± [tex]\sqrt{-800}[/tex] / 2   or ±800i

Step-by-step explanation:

there are no rational roots because the square root of a negative

i got the answer by using the quadratic formula:  (-b ±√b2 - 4ac) /2a

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