Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2+2x−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
Subtract the numbers
2x
x2+2x−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