Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−5x4−5x2−27x5
Evaluate
−5x4−5x2−3x3×x2×9
Solution
More Steps
Evaluate
−3x3×x2×9
Multiply the terms
−27x3×x2
Multiply the terms with the same base by adding their exponents
−27x3+2
Add the numbers
−27x5
−5x4−5x2−27x5
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Factor the expression
−x2(5x2+5+27x3)
Evaluate
−5x4−5x2−3x3×x2×9
Multiply
More Steps
Evaluate
3x3×x2×9
Multiply the terms
27x3×x2
Multiply the terms with the same base by adding their exponents
27x3+2
Add the numbers
27x5
−5x4−5x2−27x5
Rewrite the expression
−x2×5x2−x2×5−x2×27x3
Solution
−x2(5x2+5+27x3)
Show Solution
Find the roots
x1≈−0.638882,x2=0
Evaluate
−5x4−5x2−3x3×x2×9
To find the roots of the expression,set the expression equal to 0
−5x4−5x2−3x3×x2×9=0
Multiply
More Steps
Multiply the terms
3x3×x2×9
Multiply the terms
27x3×x2
Multiply the terms with the same base by adding their exponents
27x3+2
Add the numbers
27x5
−5x4−5x2−27x5=0
Factor the expression
−x2(5x2+5+27x3)=0
Divide both sides
x2(5x2+5+27x3)=0
Separate the equation into 2 possible cases
x2=05x2+5+27x3=0
The only way a power can be 0 is when the base equals 0
x=05x2+5+27x3=0
Solve the equation
x=0x≈−0.638882
Solution
x1≈−0.638882,x2=0
Show Solution