Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−12x+35
Evaluate
(x−7)(x−5)
Apply the distributive property
x×x−x×5−7x−(−7×5)
Multiply the terms
x2−x×5−7x−(−7×5)
Use the commutative property to reorder the terms
x2−5x−7x−(−7×5)
Multiply the numbers
x2−5x−7x−(−35)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−5x−7x+35
Solution
More Steps
Evaluate
−5x−7x
Collect like terms by calculating the sum or difference of their coefficients
(−5−7)x
Subtract the numbers
−12x
x2−12x+35
Show Solution
Find the roots
x1=5,x2=7
Evaluate
(x−7)(x−5)
To find the roots of the expression,set the expression equal to 0
(x−7)(x−5)=0
Separate the equation into 2 possible cases
x−7=0x−5=0
Solve the equation
More Steps
Evaluate
x−7=0
Move the constant to the right-hand side and change its sign
x=0+7
Removing 0 doesn't change the value,so remove it from the expression
x=7
x=7x−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=7x=5
Solution
x1=5,x2=7
Show Solution