Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(x−3)(x+1)
Evaluate
2x2−4x−6
Rewrite the expression
2x2−2×2x−2×3
Factor out 2 from the expression
2(x2−2x−3)
Solution
More Steps
Evaluate
x2−2x−3
Rewrite the expression
x2+(1−3)x−3
Calculate
x2+x−3x−3
Rewrite the expression
x×x+x−3x−3
Factor out x from the expression
x(x+1)−3x−3
Factor out −3 from the expression
x(x+1)−3(x+1)
Factor out x+1 from the expression
(x−3)(x+1)
2(x−3)(x+1)
Show Solution
Find the roots
x1=−1,x2=3
Evaluate
2x2−4x−6
To find the roots of the expression,set the expression equal to 0
2x2−4x−6=0
Factor the expression
More Steps
Evaluate
2x2−4x−6
Rewrite the expression
2x2−2×2x−2×3
Factor out 2 from the expression
2(x2−2x−3)
Factor the expression
More Steps
Evaluate
x2−2x−3
Rewrite the expression
x2+(1−3)x−3
Calculate
x2+x−3x−3
Rewrite the expression
x×x+x−3x−3
Factor out x from the expression
x(x+1)−3x−3
Factor out −3 from the expression
x(x+1)−3(x+1)
Factor out x+1 from the expression
(x−3)(x+1)
2(x−3)(x+1)
2(x−3)(x+1)=0
Divide the terms
(x−3)(x+1)=0
When the product of factors equals 0,at least one factor is 0
x−3=0x+1=0
Solve the equation for x
More Steps
Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=3x+1=0
Solve the equation for x
More Steps
Evaluate
x+1=0
Move the constant to the right-hand side and change its sign
x=0−1
Removing 0 doesn't change the value,so remove it from the expression
x=−1
x=3x=−1
Solution
x1=−1,x2=3
Show Solution