Question
Factor the expression
(x+2)(2x−3)
Evaluate
2x2+x−6
Rewrite the expression
2x2+(−3+4)x−6
Calculate
2x2−3x+4x−6
Rewrite the expression
x×2x−x×3+2×2x−2×3
Factor out x from the expression
x(2x−3)+2×2x−2×3
Factor out 2 from the expression
x(2x−3)+2(2x−3)
Solution
(x+2)(2x−3)
Show Solution

Find the roots
x1=−2,x2=23
Alternative Form
x1=−2,x2=1.5
Evaluate
2x2+x−6
To find the roots of the expression,set the expression equal to 0
2x2+x−6=0
Factor the expression
More Steps

Evaluate
2x2+x−6
Rewrite the expression
2x2+(−3+4)x−6
Calculate
2x2−3x+4x−6
Rewrite the expression
x×2x−x×3+2×2x−2×3
Factor out x from the expression
x(2x−3)+2×2x−2×3
Factor out 2 from the expression
x(2x−3)+2(2x−3)
Factor out 2x−3 from the expression
(x+2)(2x−3)
(x+2)(2x−3)=0
When the product of factors equals 0,at least one factor is 0
x+2=02x−3=0
Solve the equation for x
More Steps

Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=−22x−3=0
Solve the equation for x
More Steps

Evaluate
2x−3=0
Move the constant to the right-hand side and change its sign
2x=0+3
Removing 0 doesn't change the value,so remove it from the expression
2x=3
Divide both sides
22x=23
Divide the numbers
x=23
x=−2x=23
Solution
x1=−2,x2=23
Alternative Form
x1=−2,x2=1.5
Show Solution
