Question
Simplify the expression
Solution
19x−x2−60
Evaluate
(x−4)(15−x)
Apply the distributive property
x×15−x×x−4×15−(−4x)
Use the commutative property to reorder the terms
15x−x×x−4×15−(−4x)
Multiply the terms
15x−x2−4×15−(−4x)
Multiply the numbers
15x−x2−60−(−4x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
15x−x2−60+4x
Solution
More Steps
Evaluate
15x+4x
Collect like terms by calculating the sum or difference of their coefficients
(15+4)x
Add the numbers
19x
19x−x2−60
Show Solution
Find the roots
Find the roots of the algebra expression
x1=4,x2=15
Evaluate
(x−4)(15−x)
To find the roots of the expression,set the expression equal to 0
(x−4)(15−x)=0
Separate the equation into 2 possible cases
x−4=015−x=0
Solve the equation
More Steps
Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=415−x=0
Solve the equation
More Steps
Evaluate
15−x=0
Move the constant to the right-hand side and change its sign
−x=0−15
Removing 0 doesn't change the value,so remove it from the expression
−x=−15
Change the signs on both sides of the equation
x=15
x=4x=15
Solution
x1=4,x2=15
Show Solution