Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−40)(x+45)
Evaluate
x2+5x−1800
Rewrite the expression
x2+(45−40)x−1800
Calculate
x2+45x−40x−1800
Rewrite the expression
x×x+x×45−40x−40×45
Factor out x from the expression
x(x+45)−40x−40×45
Factor out −40 from the expression
x(x+45)−40(x+45)
Solution
(x−40)(x+45)
Show Solution
Find the roots
x1=−45,x2=40
Evaluate
x2+5x−1800
To find the roots of the expression,set the expression equal to 0
x2+5x−1800=0
Factor the expression
More Steps
Evaluate
x2+5x−1800
Rewrite the expression
x2+(45−40)x−1800
Calculate
x2+45x−40x−1800
Rewrite the expression
x×x+x×45−40x−40×45
Factor out x from the expression
x(x+45)−40x−40×45
Factor out −40 from the expression
x(x+45)−40(x+45)
Factor out x+45 from the expression
(x−40)(x+45)
(x−40)(x+45)=0
When the product of factors equals 0,at least one factor is 0
x−40=0x+45=0
Solve the equation for x
More Steps
Evaluate
x−40=0
Move the constant to the right-hand side and change its sign
x=0+40
Removing 0 doesn't change the value,so remove it from the expression
x=40
x=40x+45=0
Solve the equation for x
More Steps
Evaluate
x+45=0
Move the constant to the right-hand side and change its sign
x=0−45
Removing 0 doesn't change the value,so remove it from the expression
x=−45
x=40x=−45
Solution
x1=−45,x2=40
Show Solution