Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
1224−x2+2x
Evaluate
2−3x−2×4x
Multiply the terms
More Steps
Multiply the terms
3x−2×4x
Multiply the terms
3×4(x−2)x
Multiply the terms
3×4x(x−2)
Multiply the terms
12x(x−2)
2−12x(x−2)
Reduce fractions to a common denominator
122×12−12x(x−2)
Write all numerators above the common denominator
122×12−x(x−2)
Multiply the numbers
1224−x(x−2)
Multiply the terms
More Steps
Evaluate
x(x−2)
Apply the distributive property
x×x−x×2
Multiply the terms
x2−x×2
Use the commutative property to reorder the terms
x2−2x
1224−(x2−2x)
Solution
1224−x2+2x
Show Solution
Find the roots
x1=−4,x2=6
Evaluate
2−3x−2×4x
To find the roots of the expression,set the expression equal to 0
2−3x−2×4x=0
Multiply the terms
More Steps
Multiply the terms
3x−2×4x
Multiply the terms
3×4(x−2)x
Multiply the terms
3×4x(x−2)
Multiply the terms
12x(x−2)
2−12x(x−2)=0
Subtract the terms
More Steps
Simplify
2−12x(x−2)
Reduce fractions to a common denominator
122×12−12x(x−2)
Write all numerators above the common denominator
122×12−x(x−2)
Multiply the numbers
1224−x(x−2)
Multiply the terms
More Steps
Evaluate
x(x−2)
Apply the distributive property
x×x−x×2
Multiply the terms
x2−x×2
Use the commutative property to reorder the terms
x2−2x
1224−(x2−2x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1224−x2+2x
1224−x2+2x=0
Simplify
24−x2+2x=0
Factor the expression
More Steps
Evaluate
24−x2+2x
Reorder the terms
24+2x−x2
Rewrite the expression
24+(6−4)x−x2
Calculate
24+6x−4x−x2
Rewrite the expression
6×4+6x−x×4−x×x
Factor out 6 from the expression
6(4+x)−x×4−x×x
Factor out −x from the expression
6(4+x)−x(4+x)
Factor out 4+x from the expression
(6−x)(4+x)
(6−x)(4+x)=0
When the product of factors equals 0,at least one factor is 0
6−x=04+x=0
Solve the equation for x
More Steps
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=64+x=0
Solve the equation for x
More Steps
Evaluate
4+x=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