Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(x+1)(x+3)
Evaluate
2x2+8x+6
Rewrite the expression
2x2+2×4x+2×3
Factor out 2 from the expression
2(x2+4x+3)
Solution
More Steps
Evaluate
x2+4x+3
Rewrite the expression
x2+(3+1)x+3
Calculate
x2+3x+x+3
Rewrite the expression
x×x+x×3+x+3
Factor out x from the expression
x(x+3)+x+3
Factor out x+3 from the expression
(x+1)(x+3)
2(x+1)(x+3)
Show Solution
Find the roots
x1=−3,x2=−1
Evaluate
2x2+8x+6
To find the roots of the expression,set the expression equal to 0
2x2+8x+6=0
Factor the expression
More Steps
Evaluate
2x2+8x+6
Rewrite the expression
2x2+2×4x+2×3
Factor out 2 from the expression
2(x2+4x+3)
Factor the expression
More Steps
Evaluate
x2+4x+3
Rewrite the expression
x2+(3+1)x+3
Calculate
x2+3x+x+3
Rewrite the expression
x×x+x×3+x+3
Factor out x from the expression
x(x+3)+x+3
Factor out x+3 from the expression
(x+1)(x+3)
2(x+1)(x+3)
2(x+1)(x+3)=0
Divide the terms
(x+1)(x+3)=0
When the product of factors equals 0,at least one factor is 0
x+1=0x+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=−1x+3=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=−1x=−3
Solution
x1=−3,x2=−1
Show Solution