Solve using the Square Root Property 3x^2-36x+108=0

Math
3×2-36x+108=0
Factor the left side of the equation.
Tap for more steps…
Factor 3 out of 3×2-36x+108.
Tap for more steps…
Factor 3 out of 3×2.
3(x2)-36x+108=0
Factor 3 out of -36x.
3(x2)+3(-12x)+108=0
Factor 3 out of 108.
3×2+3(-12x)+3⋅36=0
Factor 3 out of 3×2+3(-12x).
3(x2-12x)+3⋅36=0
Factor 3 out of 3(x2-12x)+3⋅36.
3(x2-12x+36)=0
3(x2-12x+36)=0
Factor using the perfect square rule.
Tap for more steps…
Rewrite 36 as 62.
3(x2-12x+62)=0
Check the middle term by multiplying 2ab and compare this result with the middle term in the original expression.
2ab=2⋅x⋅-6
Simplify.
2ab=-12x
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=x and b=-6.
3(x-6)2=0
3(x-6)2=0
3(x-6)2=0
Divide each term by 3 and simplify.
Tap for more steps…
Divide each term in 3(x-6)2=0 by 3.
3(x-6)23=03
Cancel the common factor of 3.
Tap for more steps…
Cancel the common factor.
3(x-6)23=03
Divide (x-6)2 by 1.
(x-6)2=03
(x-6)2=03
Divide 0 by 3.
(x-6)2=0
(x-6)2=0
Set the x-6 equal to 0.
x-6=0
Add 6 to both sides of the equation.
x=6
Solve using the Square Root Property 3x^2-36x+108=0

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top