Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
17x2−480x5
Evaluate
17x2−80x5×6
Solution
17x2−480x5
Show Solution
Factor the expression
x2(17−480x3)
Evaluate
17x2−80x5×6
Multiply the terms
17x2−480x5
Rewrite the expression
x2×17−x2×480x3
Solution
x2(17−480x3)
Show Solution
Find the roots
x1=0,x2=6037650
Alternative Form
x1=0,x2≈0.3284
Evaluate
17x2−80x5×6
To find the roots of the expression,set the expression equal to 0
17x2−80x5×6=0
Multiply the terms
17x2−480x5=0
Factor the expression
x2(17−480x3)=0
Separate the equation into 2 possible cases
x2=017−480x3=0
The only way a power can be 0 is when the base equals 0
x=017−480x3=0
Solve the equation
More Steps
Evaluate
17−480x3=0
Move the constant to the right-hand side and change its sign
−480x3=0−17
Removing 0 doesn't change the value,so remove it from the expression
−480x3=−17
Change the signs on both sides of the equation
480x3=17
Divide both sides
480480x3=48017
Divide the numbers
x3=48017
Take the 3-th root on both sides of the equation
3x3=348017
Calculate
x=348017
Simplify the root
More Steps
Evaluate
348017
To take a root of a fraction,take the root of the numerator and denominator separately
3480317
Simplify the radical expression
2360317
Multiply by the Conjugate
2360×3602317×3602
Simplify
2360×3602317×23450
Multiply the numbers
2360×3602237650
Multiply the numbers
120237650
Cancel out the common factor 2
6037650
x=6037650
x=0x=6037650
Solution
x1=0,x2=6037650
Alternative Form
x1=0,x2≈0.3284
Show Solution