Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x2−4x−30x4
Evaluate
2x2−4x−x26×5x6
Solution
More Steps
Evaluate
x26×5x6
Multiply the terms
More Steps
Multiply the terms
x26×5
Multiply the terms
x26×5
Multiply the terms
x230
x230×x6
Cancel out the common factor x2
30x4
2x2−4x−30x4
Show Solution
Find the excluded values
x=0
Evaluate
2x2−4x−x26×5x6
To find the excluded values,set the denominators equal to 0
x2=0
Solution
x=0
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Factor the expression
2x(x−2−15x3)
Evaluate
2x2−4x−x26×5x6
Multiply the terms
More Steps
Evaluate
x26×5x6
Multiply the terms
More Steps
Multiply the terms
x26×5
Multiply the terms
x26×5
Multiply the terms
x230
x230×x6
Cancel out the common factor x2
30x4
2x2−4x−30x4
Rewrite the expression
2x×x−2x×2−2x×15x3
Solution
2x(x−2−15x3)
Show Solution
Find the roots
x≈−0.554275
Evaluate
2x2−4x−x26×5x6
To find the roots of the expression,set the expression equal to 0
2x2−4x−x26×5x6=0
The only way a power can not be 0 is when the base not equals 0
2x2−4x−x26×5x6=0,x=0
Calculate
2x2−4x−x26×5x6=0
Multiply the terms
More Steps
Multiply the terms
x26×5x6
Multiply the terms
More Steps
Multiply the terms
x26×5
Multiply the terms
x26×5
Multiply the terms
x230
x230×x6
Cancel out the common factor x2
30x4
2x2−4x−30x4=0
Factor the expression
2x(x−2−15x3)=0
Divide both sides
x(x−2−15x3)=0
Separate the equation into 2 possible cases
x=0x−2−15x3=0
Solve the equation
x=0x≈−0.554275
Check if the solution is in the defined range
x=0x≈−0.554275,x=0
Solution
x≈−0.554275
Show Solution