Question
Simplify the expression
3x2−8x−3
Evaluate
−(−3x−1)(x−3)
Calculate
(3x+1)(x−3)
Apply the distributive property
3x×x−3x×3+1×x−1×3
Multiply the terms
3x2−3x×3+1×x−1×3
Multiply the numbers
3x2−9x+1×x−1×3
Any expression multiplied by 1 remains the same
3x2−9x+x−1×3
Any expression multiplied by 1 remains the same
3x2−9x+x−3
Solution
More Steps

Evaluate
−9x+x
Collect like terms by calculating the sum or difference of their coefficients
(−9+1)x
Add the numbers
−8x
3x2−8x−3
Show Solution

Find the roots
x1=−31,x2=3
Alternative Form
x1=−0.3˙,x2=3
Evaluate
−(−3x−1)(x−3)
To find the roots of the expression,set the expression equal to 0
−(−3x−1)(x−3)=0
Calculate
(3x+1)(x−3)=0
Separate the equation into 2 possible cases
3x+1=0x−3=0
Solve the equation
More Steps

Evaluate
3x+1=0
Move the constant to the right-hand side and change its sign
3x=0−1
Removing 0 doesn't change the value,so remove it from the expression
3x=−1
Divide both sides
33x=3−1
Divide the numbers
x=3−1
Use b−a=−ba=−ba to rewrite the fraction
x=−31
x=−31x−3=0
Solve the equation
More Steps

Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=−31x=3
Solution
x1=−31,x2=3
Alternative Form
x1=−0.3˙,x2=3
Show Solution
