Question
Simplify the expression
5x2−25x+20
Evaluate
5(x−1)(x−4)
Multiply the terms
More Steps

Evaluate
5(x−1)
Apply the distributive property
5x−5×1
Any expression multiplied by 1 remains the same
5x−5
(5x−5)(x−4)
Apply the distributive property
5x×x−5x×4−5x−(−5×4)
Multiply the terms
5x2−5x×4−5x−(−5×4)
Multiply the numbers
5x2−20x−5x−(−5×4)
Multiply the numbers
5x2−20x−5x−(−20)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
5x2−20x−5x+20
Solution
More Steps

Evaluate
−20x−5x
Collect like terms by calculating the sum or difference of their coefficients
(−20−5)x
Subtract the numbers
−25x
5x2−25x+20
Show Solution

Find the roots
x1=1,x2=4
Evaluate
5(x−1)(x−4)
To find the roots of the expression,set the expression equal to 0
5(x−1)(x−4)=0
Elimination the left coefficient
(x−1)(x−4)=0
Separate the equation into 2 possible cases
x−1=0x−4=0
Solve the equation
More Steps

Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=1x−4=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=1x=4
Solution
x1=1,x2=4
Show Solution
