Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+3)(x+7)
Evaluate
x2+10x+21
Rewrite the expression
x2+(7+3)x+21
Calculate
x2+7x+3x+21
Rewrite the expression
x×x+x×7+3x+3×7
Factor out x from the expression
x(x+7)+3x+3×7
Factor out 3 from the expression
x(x+7)+3(x+7)
Solution
(x+3)(x+7)
Show Solution
Find the roots
x1=−7,x2=−3
Evaluate
x2+10x+21
To find the roots of the expression,set the expression equal to 0
x2+10x+21=0
Factor the expression
More Steps
Evaluate
x2+10x+21
Rewrite the expression
x2+(7+3)x+21
Calculate
x2+7x+3x+21
Rewrite the expression
x×x+x×7+3x+3×7
Factor out x from the expression
x(x+7)+3x+3×7
Factor out 3 from the expression
x(x+7)+3(x+7)
Factor out x+7 from the expression
(x+3)(x+7)
(x+3)(x+7)=0
When the product of factors equals 0,at least one factor is 0
x+3=0x+7=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+7=0
Solve the equation for x
More Steps
Evaluate
x+7=0
Move the constant to the right-hand side and change its sign
x=0−7
Removing 0 doesn't change the value,so remove it from the expression
x=−7
x=−3x=−7
Solution
x1=−7,x2=−3
Show Solution