Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(x+1)(2x−3)
Evaluate
4x2−2x−6
Rewrite the expression
2×2x2−2x−2×3
Factor out 2 from the expression
2(2x2−x−3)
Solution
More Steps
Evaluate
2x2−x−3
Rewrite the expression
2x2+(−3+2)x−3
Calculate
2x2−3x+2x−3
Rewrite the expression
x×2x−x×3+2x−3
Factor out x from the expression
x(2x−3)+2x−3
Factor out 2x−3 from the expression
(x+1)(2x−3)
2(x+1)(2x−3)
Show Solution
Find the roots
x1=−1,x2=23
Alternative Form
x1=−1,x2=1.5
Evaluate
4x2−2x−6
To find the roots of the expression,set the expression equal to 0
4x2−2x−6=0
Factor the expression
More Steps
Evaluate
4x2−2x−6
Rewrite the expression
2×2x2−2x−2×3
Factor out 2 from the expression
2(2x2−x−3)
Factor the expression
More Steps
Evaluate
2x2−x−3
Rewrite the expression
2x2+(−3+2)x−3
Calculate
2x2−3x+2x−3
Rewrite the expression
x×2x−x×3+2x−3
Factor out x from the expression
x(2x−3)+2x−3
Factor out 2x−3 from the expression
(x+1)(2x−3)
2(x+1)(2x−3)
2(x+1)(2x−3)=0
Divide the terms
(x+1)(2x−3)=0
When the product of factors equals 0,at least one factor is 0
x+1=02x−3=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=−12x−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=−1x=23
Solution
x1=−1,x2=23
Alternative Form
x1=−1,x2=1.5
Show Solution