Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(a−40)(a+30)
Evaluate
a2−10a−1200
Rewrite the expression
a2+(30−40)a−1200
Calculate
a2+30a−40a−1200
Rewrite the expression
a×a+a×30−40a−40×30
Factor out a from the expression
a(a+30)−40a−40×30
Factor out −40 from the expression
a(a+30)−40(a+30)
Solution
(a−40)(a+30)
Show Solution
Find the roots
a1=−30,a2=40
Evaluate
a2−10a−1200
To find the roots of the expression,set the expression equal to 0
a2−10a−1200=0
Factor the expression
More Steps
Evaluate
a2−10a−1200
Rewrite the expression
a2+(30−40)a−1200
Calculate
a2+30a−40a−1200
Rewrite the expression
a×a+a×30−40a−40×30
Factor out a from the expression
a(a+30)−40a−40×30
Factor out −40 from the expression
a(a+30)−40(a+30)
Factor out a+30 from the expression
(a−40)(a+30)
(a−40)(a+30)=0
When the product of factors equals 0,at least one factor is 0
a−40=0a+30=0
Solve the equation for a
More Steps
Evaluate
a−40=0
Move the constant to the right-hand side and change its sign
a=0+40
Removing 0 doesn't change the value,so remove it from the expression
a=40
a=40a+30=0
Solve the equation for a
More Steps
Evaluate
a+30=0
Move the constant to the right-hand side and change its sign
a=0−30
Removing 0 doesn't change the value,so remove it from the expression
a=−30
a=40a=−30
Solution
a1=−30,a2=40
Show Solution