Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x3−3x2−96x
Evaluate
2x3−3x2−8x×12
Solution
2x3−3x2−96x
Show Solution
Factor the expression
x(2x2−3x−96)
Evaluate
2x3−3x2−8x×12
Multiply the terms
2x3−3x2−96x
Rewrite the expression
x×2x2−x×3x−x×96
Solution
x(2x2−3x−96)
Show Solution
Find the roots
x1=43−777,x2=0,x3=43+777
Alternative Form
x1≈−6.21868,x2=0,x3≈7.71868
Evaluate
2x3−3x2−8x×12
To find the roots of the expression,set the expression equal to 0
2x3−3x2−8x×12=0
Multiply the terms
2x3−3x2−96x=0
Factor the expression
x(2x2−3x−96)=0
Separate the equation into 2 possible cases
x=02x2−3x−96=0
Solve the equation
More Steps
Evaluate
2x2−3x−96=0
Substitute a=2,b=−3 and c=−96 into the quadratic formula x=2a−b±b2−4ac
x=2×23±(−3)2−4×2(−96)
Simplify the expression
x=43±(−3)2−4×2(−96)
Simplify the expression
More Steps
Evaluate
(−3)2−4×2(−96)
Multiply
(−3)2−(−768)
Rewrite the expression
32−(−768)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
32+768
Evaluate the power
9+768
Add the numbers
777
x=43±777
Separate the equation into 2 possible cases
x=43+777x=43−777
x=0x=43+777x=43−777
Solution
x1=43−777,x2=0,x3=43+777
Alternative Form
x1≈−6.21868,x2=0,x3≈7.71868
Show Solution