Question
Simplify the expression
3x4−25x5−48x
Evaluate
3x4−5x3×5x2−6x×8
Multiply
More Steps

Multiply the terms
−5x3×5x2
Multiply the terms
−25x3×x2
Multiply the terms with the same base by adding their exponents
−25x3+2
Add the numbers
−25x5
3x4−25x5−6x×8
Solution
3x4−25x5−48x
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Factor the expression
x(3x3−25x4−48)
Evaluate
3x4−5x3×5x2−6x×8
Multiply
More Steps

Multiply the terms
5x3×5x2
Multiply the terms
25x3×x2
Multiply the terms with the same base by adding their exponents
25x3+2
Add the numbers
25x5
3x4−25x5−6x×8
Multiply the terms
3x4−25x5−48x
Rewrite the expression
x×3x3−x×25x4−x×48
Solution
x(3x3−25x4−48)
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Find the roots
x=0
Evaluate
3x4−5x3×5x2−6x×8
To find the roots of the expression,set the expression equal to 0
3x4−5x3×5x2−6x×8=0
Multiply
More Steps

Multiply the terms
5x3×5x2
Multiply the terms
25x3×x2
Multiply the terms with the same base by adding their exponents
25x3+2
Add the numbers
25x5
3x4−25x5−6x×8=0
Multiply the terms
3x4−25x5−48x=0
Factor the expression
x(3x3−25x4−48)=0
Separate the equation into 2 possible cases
x=03x3−25x4−48=0
Solve the equation
x=0x∈/R
Solution
x=0
Show Solution
