7y=y^3

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Solution for 7y=y^3 equation:


Simplifying
7y = y3

Solving
7y = y3

Solving for variable 'y'.

Combine like terms: y3 + -1y3 = 0
7y + -1y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(7 + -1y2) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(7 + -1y2)' equal to zero and attempt to solve: Simplifying 7 + -1y2 = 0 Solving 7 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y2 = 0 + -7 -1y2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1y2 = -7 Divide each side by '-1'. y2 = 7 Simplifying y2 = 7 Take the square root of each side: y = {-2.645751311, 2.645751311}

Solution

y = {0, -2.645751311, 2.645751311}

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