Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+1)(3x−4)
Evaluate
3x2−x−4
Rewrite the expression
3x2+(−4+3)x−4
Calculate
3x2−4x+3x−4
Rewrite the expression
x×3x−x×4+3x−4
Factor out x from the expression
x(3x−4)+3x−4
Solution
(x+1)(3x−4)
Show Solution
Find the roots
x1=−1,x2=34
Alternative Form
x1=−1,x2=1.3˙
Evaluate
3x2−x−4
To find the roots of the expression,set the expression equal to 0
3x2−x−4=0
Factor the expression
More Steps
Evaluate
3x2−x−4
Rewrite the expression
3x2+(−4+3)x−4
Calculate
3x2−4x+3x−4
Rewrite the expression
x×3x−x×4+3x−4
Factor out x from the expression
x(3x−4)+3x−4
Factor out 3x−4 from the expression
(x+1)(3x−4)
(x+1)(3x−4)=0
When the product of factors equals 0,at least one factor is 0
x+1=03x−4=0
Solve the equation for x
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=−13x−4=0
Solve the equation for x
More Steps
Evaluate
3x−4=0
Move the constant to the right-hand side and change its sign
3x=0+4
Removing 0 doesn't change the value,so remove it from the expression
3x=4
Divide both sides
33x=34
Divide the numbers
x=34
x=−1x=34
Solution
x1=−1,x2=34
Alternative Form
x1=−1,x2=1.3˙
Show Solution