Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(x−5)(x+4)
Evaluate
2x2−2x−40
Rewrite the expression
2x2−2x−2×20
Factor out 2 from the expression
2(x2−x−20)
Solution
More Steps
Evaluate
x2−x−20
Rewrite the expression
x2+(4−5)x−20
Calculate
x2+4x−5x−20
Rewrite the expression
x×x+x×4−5x−5×4
Factor out x from the expression
x(x+4)−5x−5×4
Factor out −5 from the expression
x(x+4)−5(x+4)
Factor out x+4 from the expression
(x−5)(x+4)
2(x−5)(x+4)
Show Solution
Find the roots
x1=−4,x2=5
Evaluate
2x2−2x−40
To find the roots of the expression,set the expression equal to 0
2x2−2x−40=0
Factor the expression
More Steps
Evaluate
2x2−2x−40
Rewrite the expression
2x2−2x−2×20
Factor out 2 from the expression
2(x2−x−20)
Factor the expression
More Steps
Evaluate
x2−x−20
Rewrite the expression
x2+(4−5)x−20
Calculate
x2+4x−5x−20
Rewrite the expression
x×x+x×4−5x−5×4
Factor out x from the expression
x(x+4)−5x−5×4
Factor out −5 from the expression
x(x+4)−5(x+4)
Factor out x+4 from the expression
(x−5)(x+4)
2(x−5)(x+4)
2(x−5)(x+4)=0
Divide the terms
(x−5)(x+4)=0
When the product of factors equals 0,at least one factor is 0
x−5=0x+4=0
Solve the equation for x
More Steps
Evaluate
x−5=0
Move the constant to the right-hand side and change its sign
x=0+5
Removing 0 doesn't change the value,so remove it from the expression
x=5
x=5x+4=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=5x=−4
Solution
x1=−4,x2=5
Show Solution