Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−11)(x+7)
Evaluate
x2−4x−77
Rewrite the expression
x2+(7−11)x−77
Calculate
x2+7x−11x−77
Rewrite the expression
x×x+x×7−11x−11×7
Factor out x from the expression
x(x+7)−11x−11×7
Factor out −11 from the expression
x(x+7)−11(x+7)
Solution
(x−11)(x+7)
Show Solution
Find the roots
x1=−7,x2=11
Evaluate
x2−4x−77
To find the roots of the expression,set the expression equal to 0
x2−4x−77=0
Factor the expression
More Steps
Evaluate
x2−4x−77
Rewrite the expression
x2+(7−11)x−77
Calculate
x2+7x−11x−77
Rewrite the expression
x×x+x×7−11x−11×7
Factor out x from the expression
x(x+7)−11x−11×7
Factor out −11 from the expression
x(x+7)−11(x+7)
Factor out x+7 from the expression
(x−11)(x+7)
(x−11)(x+7)=0
When the product of factors equals 0,at least one factor is 0
x−11=0x+7=0
Solve the equation for x
More Steps
Evaluate
x−11=0
Move the constant to the right-hand side and change its sign
x=0+11
Removing 0 doesn't change the value,so remove it from the expression
x=11
x=11x+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=11x=−7
Solution
x1=−7,x2=11
Show Solution