Question
Solve the equation
Solve for x
Solve for c
Solve for y
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x=2cy320c2y2+4zc2y2
Evaluate
c×2x3y−z=5
Use the commutative property to reorder the terms
2cx3y−z=5
Rewrite the expression
2cyx3−z=5
Move the expression to the right-hand side and change its sign
2cyx3=5+z
Divide both sides
2cy2cyx3=2cy5+z
Divide the numbers
x3=2cy5+z
Take the 3-th root on both sides of the equation
3x3=32cy5+z
Calculate
x=32cy5+z
Simplify the root
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Evaluate
32cy5+z
To take a root of a fraction,take the root of the numerator and denominator separately
32cy35+z
Multiply by the Conjugate
32cy×322c2y235+z×322c2y2
Calculate
2cy35+z×322c2y2
Calculate
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Evaluate
35+z×322c2y2
The product of roots with the same index is equal to the root of the product
3(5+z)×22c2y2
Calculate the product
320c2y2+22zc2y2
2cy320c2y2+22zc2y2
x=2cy320c2y2+22zc2y2
Solution
x=2cy320c2y2+4zc2y2
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