Question
Simplify the expression
54x−189x2
Evaluate
27x(2−7x)
Apply the distributive property
27x×2−27x×7x
Multiply the numbers
54x−27x×7x
Solution
More Steps

Evaluate
27x×7x
Multiply the numbers
189x×x
Multiply the terms
189x2
54x−189x2
Show Solution

Find the roots
x1=0,x2=72
Alternative Form
x1=0,x2=0.2˙85714˙
Evaluate
(27x)(2−7x)
To find the roots of the expression,set the expression equal to 0
(27x)(2−7x)=0
Multiply the terms
27x(2−7x)=0
Elimination the left coefficient
x(2−7x)=0
Separate the equation into 2 possible cases
x=02−7x=0
Solve the equation
More Steps

Evaluate
2−7x=0
Move the constant to the right-hand side and change its sign
−7x=0−2
Removing 0 doesn't change the value,so remove it from the expression
−7x=−2
Change the signs on both sides of the equation
7x=2
Divide both sides
77x=72
Divide the numbers
x=72
x=0x=72
Solution
x1=0,x2=72
Alternative Form
x1=0,x2=0.2˙85714˙
Show Solution
