Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−(x+4)(x+7)
Evaluate
−x2−11x−28
Factor out −1 from the expression
−(x2+11x+28)
Solution
More Steps
Evaluate
x2+11x+28
Rewrite the expression
x2+(7+4)x+28
Calculate
x2+7x+4x+28
Rewrite the expression
x×x+x×7+4x+4×7
Factor out x from the expression
x(x+7)+4x+4×7
Factor out 4 from the expression
x(x+7)+4(x+7)
Factor out x+7 from the expression
(x+4)(x+7)
−(x+4)(x+7)
Show Solution
Find the roots
x1=−7,x2=−4
Evaluate
−x2−11x−28
To find the roots of the expression,set the expression equal to 0
−x2−11x−28=0
Factor the expression
More Steps
Evaluate
−x2−11x−28
Factor out −1 from the expression
−(x2+11x+28)
Factor the expression
More Steps
Evaluate
x2+11x+28
Rewrite the expression
x2+(7+4)x+28
Calculate
x2+7x+4x+28
Rewrite the expression
x×x+x×7+4x+4×7
Factor out x from the expression
x(x+7)+4x+4×7
Factor out 4 from the expression
x(x+7)+4(x+7)
Factor out x+7 from the expression
(x+4)(x+7)
−(x+4)(x+7)
−(x+4)(x+7)=0
Divide the terms
(x+4)(x+7)=0
When the product of factors equals 0,at least one factor is 0
x+4=0x+7=0
Solve the equation for x
More Steps
Evaluate
x+4=0
Move the constant to the right-hand side and change its sign
x=0−4
Removing 0 doesn't change the value,so remove it from the expression
x=−4
x=−4x+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=−4x=−7
Solution
x1=−7,x2=−4
Show Solution