Question
Simplify the expression
3x2−5x+2
Evaluate
(3x−2)(x−1)
Apply the distributive property
3x×x−3x×1−2x−(−2×1)
Multiply the terms
3x2−3x×1−2x−(−2×1)
Any expression multiplied by 1 remains the same
3x2−3x−2x−(−2×1)
Any expression multiplied by 1 remains the same
3x2−3x−2x−(−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3x2−3x−2x+2
Solution
More Steps

Evaluate
−3x−2x
Collect like terms by calculating the sum or difference of their coefficients
(−3−2)x
Subtract the numbers
−5x
3x2−5x+2
Show Solution

Find the roots
x1=32,x2=1
Alternative Form
x1=0.6˙,x2=1
Evaluate
(3x−2)(x−1)
To find the roots of the expression,set the expression equal to 0
(3x−2)(x−1)=0
Separate the equation into 2 possible cases
3x−2=0x−1=0
Solve the equation
More Steps

Evaluate
3x−2=0
Move the constant to the right-hand side and change its sign
3x=0+2
Removing 0 doesn't change the value,so remove it from the expression
3x=2
Divide both sides
33x=32
Divide the numbers
x=32
x=32x−1=0
Solve the equation
More Steps

Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=32x=1
Solution
x1=32,x2=1
Alternative Form
x1=0.6˙,x2=1
Show Solution
