Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(3x+2)(4x−3)
Evaluate
12x2−x−6
Rewrite the expression
12x2+(−9+8)x−6
Calculate
12x2−9x+8x−6
Rewrite the expression
3x×4x−3x×3+2×4x−2×3
Factor out 3x from the expression
3x(4x−3)+2×4x−2×3
Factor out 2 from the expression
3x(4x−3)+2(4x−3)
Solution
(3x+2)(4x−3)
Show Solution
Find the roots
x1=−32,x2=43
Alternative Form
x1=−0.6˙,x2=0.75
Evaluate
12x2−x−6
To find the roots of the expression,set the expression equal to 0
12x2−x−6=0
Factor the expression
More Steps
Evaluate
12x2−x−6
Rewrite the expression
12x2+(−9+8)x−6
Calculate
12x2−9x+8x−6
Rewrite the expression
3x×4x−3x×3+2×4x−2×3
Factor out 3x from the expression
3x(4x−3)+2×4x−2×3
Factor out 2 from the expression
3x(4x−3)+2(4x−3)
Factor out 4x−3 from the expression
(3x+2)(4x−3)
(3x+2)(4x−3)=0
When the product of factors equals 0,at least one factor is 0
3x+2=04x−3=0
Solve the equation for x
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=3−2
Divide the numbers
x=3−2
Use b−a=−ba=−ba to rewrite the fraction
x=−32
x=−324x−3=0
Solve the equation for x
More Steps
Evaluate
4x−3=0
Move the constant to the right-hand side and change its sign
4x=0+3
Removing 0 doesn't change the value,so remove it from the expression
4x=3
Divide both sides
44x=43
Divide the numbers
x=43
x=−32x=43
Solution
x1=−32,x2=43
Alternative Form
x1=−0.6˙,x2=0.75
Show Solution