Question
Factor the expression
Factor
(2x+5)(3x−2)
Evaluate
6x2+11x−10
Rewrite the expression
6x2+(−4+15)x−10
Calculate
6x2−4x+15x−10
Rewrite the expression
2x×3x−2x×2+5×3x−5×2
Factor out 2x from the expression
2x(3x−2)+5×3x−5×2
Factor out 5 from the expression
2x(3x−2)+5(3x−2)
Solution
(2x+5)(3x−2)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−25,x2=32
Alternative Form
x1=−2.5,x2=0.6˙
Evaluate
6x2+11x−10
To find the roots of the expression,set the expression equal to 0
6x2+11x−10=0
Factor the expression
More Steps
Evaluate
6x2+11x−10
Rewrite the expression
6x2+(−4+15)x−10
Calculate
6x2−4x+15x−10
Rewrite the expression
2x×3x−2x×2+5×3x−5×2
Factor out 2x from the expression
2x(3x−2)+5×3x−5×2
Factor out 5 from the expression
2x(3x−2)+5(3x−2)
Factor out 3x−2 from the expression
(2x+5)(3x−2)
(2x+5)(3x−2)=0
When the product of factors equals 0,at least one factor is 0
2x+5=03x−2=0
Solve the equation for x
More Steps
Evaluate
2x+5=0
Move the constant to the right-hand side and change its sign
2x=0−5
Removing 0 doesn't change the value,so remove it from the expression
2x=−5
Divide both sides
22x=2−5
Divide the numbers
x=2−5
Use b−a=−ba=−ba to rewrite the fraction
x=−25
x=−253x−2=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=32
Divide the numbers
x=32
x=−25x=32
Solution
x1=−25,x2=32
Alternative Form
x1=−2.5,x2=0.6˙
Show Solution