Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2+8x+15
Evaluate
(x+3)(x+5)
Apply the distributive property
x×x+x×5+3x+3×5
Multiply the terms
x2+x×5+3x+3×5
Use the commutative property to reorder the terms
x2+5x+3x+3×5
Multiply the numbers
x2+5x+3x+15
Solution
More Steps
Evaluate
5x+3x
Collect like terms by calculating the sum or difference of their coefficients
(5+3)x
Add the numbers
8x
x2+8x+15
Show Solution
Find the roots
x1=−5,x2=−3
Evaluate
(x+3)(x+5)
To find the roots of the expression,set the expression equal to 0
(x+3)(x+5)=0
Separate the equation into 2 possible cases
x+3=0x+5=0
Solve the equation
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
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