Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−12−4x+x2
Evaluate
(6−x)(−2−x)
Apply the distributive property
6(−2)−6x−x(−2)−(−x×x)
Multiply the numbers
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Evaluate
6(−2)
Multiplying or dividing an odd number of negative terms equals a negative
−6×2
Multiply the numbers
−12
−12−6x−x(−2)−(−x×x)
Use the commutative property to reorder the terms
−12−6x+2x−(−x×x)
Multiply the terms
−12−6x+2x−(−x2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12−6x+2x+x2
Solution
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Evaluate
−6x+2x
Collect like terms by calculating the sum or difference of their coefficients
(−6+2)x
Add the numbers
−4x
−12−4x+x2
Show Solution
Find the roots
x1=−2,x2=6
Evaluate
(6−x)(−2−x)
To find the roots of the expression,set the expression equal to 0
(6−x)(−2−x)=0
Separate the equation into 2 possible cases
6−x=0−2−x=0
Solve the equation
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Evaluate
6−x=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
Change the signs on both sides of the equation
x=6
x=6−2−x=0
Solve the equation
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Evaluate
−2−x=0
Move the constant to the right-hand side and change its sign
−x=0+2
Removing 0 doesn't change the value,so remove it from the expression
−x=2
Change the signs on both sides of the equation
x=−2
x=6x=−2
Solution
x1=−2,x2=6
Show Solution