Question
Simplify the expression
4j3−3j
Evaluate
2×2j3−3j
Solution
4j3−3j
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Factor the expression
j(4j2−3)
Evaluate
2×2j3−3j
Multiply the numbers
More Steps

Evaluate
2×2
Multiply the numbers
4
Evaluate
4j3
4j3−3j
Rewrite the expression
j×4j2−j×3
Solution
j(4j2−3)
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Find the roots
j1=−23,j2=0,j3=23
Alternative Form
j1≈−0.866025,j2=0,j3≈0.866025
Evaluate
2(2j3)−3j
To find the roots of the expression,set the expression equal to 0
2(2j3)−3j=0
Multiply the terms
2×2j3−3j=0
Multiply the numbers
4j3−3j=0
Factor the expression
j(4j2−3)=0
Separate the equation into 2 possible cases
j=04j2−3=0
Solve the equation
More Steps

Evaluate
4j2−3=0
Move the constant to the right-hand side and change its sign
4j2=0+3
Removing 0 doesn't change the value,so remove it from the expression
4j2=3
Divide both sides
44j2=43
Divide the numbers
j2=43
Take the root of both sides of the equation and remember to use both positive and negative roots
j=±43
Simplify the expression
More Steps

Evaluate
43
To take a root of a fraction,take the root of the numerator and denominator separately
43
Simplify the radical expression
23
j=±23
Separate the equation into 2 possible cases
j=23j=−23
j=0j=23j=−23
Solution
j1=−23,j2=0,j3=23
Alternative Form
j1≈−0.866025,j2=0,j3≈0.866025
Show Solution
