Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−3(x+3)(x+5)
Evaluate
−3x2−24x−45
Rewrite the expression
−3x2−3×8x−3×15
Factor out −3 from the expression
−3(x2+8x+15)
Solution
More Steps
Evaluate
x2+8x+15
Rewrite the expression
x2+(5+3)x+15
Calculate
x2+5x+3x+15
Rewrite the expression
x×x+x×5+3x+3×5
Factor out x from the expression
x(x+5)+3x+3×5
Factor out 3 from the expression
x(x+5)+3(x+5)
Factor out x+5 from the expression
(x+3)(x+5)
−3(x+3)(x+5)
Show Solution
Find the roots
x1=−5,x2=−3
Evaluate
−3x2−24x−45
To find the roots of the expression,set the expression equal to 0
−3x2−24x−45=0
Factor the expression
More Steps
Evaluate
−3x2−24x−45
Rewrite the expression
−3x2−3×8x−3×15
Factor out −3 from the expression
−3(x2+8x+15)
Factor the expression
More Steps
Evaluate
x2+8x+15
Rewrite the expression
x2+(5+3)x+15
Calculate
x2+5x+3x+15
Rewrite the expression
x×x+x×5+3x+3×5
Factor out x from the expression
x(x+5)+3x+3×5
Factor out 3 from the expression
x(x+5)+3(x+5)
Factor out x+5 from the expression
(x+3)(x+5)
−3(x+3)(x+5)
−3(x+3)(x+5)=0
Divide the terms
(x+3)(x+5)=0
When the product of factors equals 0,at least one factor is 0
x+3=0x+5=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+5=0
Solve the equation for x
More Steps
Evaluate
x+5=0
Move the constant to the right-hand side and change its sign
x=0−5
Removing 0 doesn't change the value,so remove it from the expression
x=−5
x=−3x=−5
Solution
x1=−5,x2=−3
Show Solution