Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x7−2x11
Evaluate
x5(3x2−2x6)
Apply the distributive property
x5×3x2−x5×2x6
Multiply the terms
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Evaluate
x5×3x2
Use the commutative property to reorder the terms
3x5×x2
Multiply the terms
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Evaluate
x5×x2
Use the product rule an×am=an+m to simplify the expression
x5+2
Add the numbers
x7
3x7
3x7−x5×2x6
Solution
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Evaluate
x5×2x6
Use the commutative property to reorder the terms
2x5×x6
Multiply the terms
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Evaluate
x5×x6
Use the product rule an×am=an+m to simplify the expression
x5+6
Add the numbers
x11
2x11
3x7−2x11
Show Solution
Factor the expression
x7(3−2x4)
Evaluate
x5(3x2−2x6)
Factor the expression
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Evaluate
3x2−2x6
Rewrite the expression
x2×3−x2×2x4
Factor out x2 from the expression
x2(3−2x4)
x5×x2(3−2x4)
Solution
x7(3−2x4)
Show Solution
Find the roots
x1=−2424,x2=0,x3=2424
Alternative Form
x1≈−1.106682,x2=0,x3≈1.106682
Evaluate
(x5)(3x2−2x6)
To find the roots of the expression,set the expression equal to 0
(x5)(3x2−2x6)=0
Calculate
x5(3x2−2x6)=0
Separate the equation into 2 possible cases
x5=03x2−2x6=0
The only way a power can be 0 is when the base equals 0
x=03x2−2x6=0
Solve the equation
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Evaluate
3x2−2x6=0
Factor the expression
x2(3−2x4)=0
Separate the equation into 2 possible cases
x2=03−2x4=0
The only way a power can be 0 is when the base equals 0
x=03−2x4=0
Solve the equation
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Evaluate
3−2x4=0
Move the constant to the right-hand side and change its sign
−2x4=0−3
Removing 0 doesn't change the value,so remove it from the expression
−2x4=−3
Change the signs on both sides of the equation
2x4=3
Divide both sides
22x4=23
Divide the numbers
x4=23
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±423
Simplify the expression
x=±2424
Separate the equation into 2 possible cases
x=2424x=−2424
x=0x=2424x=−2424
x=0x=0x=2424x=−2424
Find the union
x=0x=2424x=−2424
Solution
x1=−2424,x2=0,x3=2424
Alternative Form
x1≈−1.106682,x2=0,x3≈1.106682
Show Solution