Question
Simplify the expression
2x2−20x+48
Evaluate
2(x−6)(x−4)
Multiply the terms
More Steps

Evaluate
2(x−6)
Apply the distributive property
2x−2×6
Multiply the numbers
2x−12
(2x−12)(x−4)
Apply the distributive property
2x×x−2x×4−12x−(−12×4)
Multiply the terms
2x2−2x×4−12x−(−12×4)
Multiply the numbers
2x2−8x−12x−(−12×4)
Multiply the numbers
2x2−8x−12x−(−48)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
2x2−8x−12x+48
Solution
More Steps

Evaluate
−8x−12x
Collect like terms by calculating the sum or difference of their coefficients
(−8−12)x
Subtract the numbers
−20x
2x2−20x+48
Show Solution

Find the roots
x1=4,x2=6
Evaluate
2(x−6)(x−4)
To find the roots of the expression,set the expression equal to 0
2(x−6)(x−4)=0
Elimination the left coefficient
(x−6)(x−4)=0
Separate the equation into 2 possible cases
x−6=0x−4=0
Solve the equation
More Steps

Evaluate
x−6=0
Move the constant to the right-hand side and change its sign
x=0+6
Removing 0 doesn't change the value,so remove it from the expression
x=6
x=6x−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=6x=4
Solution
x1=4,x2=6
Show Solution
