Question
Factor the expression
(x−4)(2x+3)
Evaluate
2x2−5x−12
Rewrite the expression
2x2+(3−8)x−12
Calculate
2x2+3x−8x−12
Rewrite the expression
x×2x+x×3−4×2x−4×3
Factor out x from the expression
x(2x+3)−4×2x−4×3
Factor out −4 from the expression
x(2x+3)−4(2x+3)
Solution
(x−4)(2x+3)
Show Solution

Find the roots
x1=−23,x2=4
Alternative Form
x1=−1.5,x2=4
Evaluate
2x2−5x−12
To find the roots of the expression,set the expression equal to 0
2x2−5x−12=0
Factor the expression
More Steps

Evaluate
2x2−5x−12
Rewrite the expression
2x2+(3−8)x−12
Calculate
2x2+3x−8x−12
Rewrite the expression
x×2x+x×3−4×2x−4×3
Factor out x from the expression
x(2x+3)−4×2x−4×3
Factor out −4 from the expression
x(2x+3)−4(2x+3)
Factor out 2x+3 from the expression
(x−4)(2x+3)
(x−4)(2x+3)=0
When the product of factors equals 0,at least one factor is 0
x−4=02x+3=0
Solve the equation for x
More Steps

Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=42x+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=2−3
Divide the numbers
x=2−3
Use b−a=−ba=−ba to rewrite the fraction
x=−23
x=4x=−23
Solution
x1=−23,x2=4
Alternative Form
x1=−1.5,x2=4
Show Solution
