Question
Simplify the expression
Solution
−4x4−6x3
Evaluate
(−2x−3)×2x3
Multiply the terms
2x3(−2x−3)
Apply the distributive property
2x3(−2x)−2x3×3
Multiply the terms
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Evaluate
2x3(−2x)
Multiply the numbers
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Evaluate
2(−2)
Multiplying or dividing an odd number of negative terms equals a negative
−2×2
Multiply the numbers
−4
−4x3×x
Multiply the terms
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Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
−4x4
−4x4−2x3×3
Solution
−4x4−6x3
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−23,x2=0
Alternative Form
x1=−1.5,x2=0
Evaluate
(−2x−3)(2x3)
To find the roots of the expression,set the expression equal to 0
(−2x−3)(2x3)=0
Multiply the terms
(−2x−3)×2x3=0
Multiply the terms
2x3(−2x−3)=0
Elimination the left coefficient
x3(−2x−3)=0
Separate the equation into 2 possible cases
x3=0−2x−3=0
The only way a power can be 0 is when the base equals 0
x=0−2x−3=0
Solve the equation
More Steps
Evaluate
−2x−3=0
Move the constant to the right-hand side and change its sign
−2x=0+3
Removing 0 doesn't change the value,so remove it from the expression
−2x=3
Change the signs on both sides of the equation
2x=−3
Divide both sides
22x=2−3
Divide the numbers
x=2−3
Use b−a=−ba=−ba to rewrite the fraction
x=−23
x=0x=−23
Solution
x1=−23,x2=0
Alternative Form
x1=−1.5,x2=0
Show Solution