Solve for x:
10 x^2 - 27 x + 5 = 0
The left hand side factors into a product with two terms:
(2 x - 5) (5 x - 1) = 0
Split into two equations:
2 x - 5 = 0 or 5 x - 1 = 0
Add 5 to both sides:
2 x = 5 or 5 x - 1 = 0
Divide both sides by 2:
x = 5/2 or 5 x - 1 = 0
Add 1 to both sides:
x = 5/2 or 5 x = 1
Divide both sides by 5:
Answer: |x = 5/2 or x = 1/5
Solve for x:
10 x^2 - 27 x + 5 = 0
The left hand side factors into a product with two terms:
(2 x - 5) (5 x - 1) = 0
Split into two equations:
2 x - 5 = 0 or 5 x - 1 = 0
Add 5 to both sides:
2 x = 5 or 5 x - 1 = 0
Divide both sides by 2:
x = 5/2 or 5 x - 1 = 0
Add 1 to both sides:
x = 5/2 or 5 x = 1
Divide both sides by 5:
Answer: |x = 5/2 or x = 1/5
+118608 10xsquared - 27x + 5 = 0
you can use the quadratic formula
https://www.youtube.com/watch?v=O8ezDEk3qCg
OR
\( 10x^2 - 27x + 5 = 0\)
10*5=50
look for 2 mumbers that multiply to 50 and add to -27
that is easy -25 and -2
so change -27x to -25x-2x
\(10x^2-25x-2x+5=0\\ 5x(2x-5)-1(2x-5)=0\\ (5x-1)(2x-5)=0\\ 5x-1=0 \quad or \quad 2x-5=0\\ 5x=1 \qquad or \qquad 2x=5\\ x=0.2 \qquad or \qquad x=2.5\\\)
