Solve 6(2y-5)-12(2y-5)(y^5) - ScanMath

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Type your math problem... 6(2y-5)-12(2y-5)(y^5)

Question

Simplify the expression

12 y - 30 - 24 y^{6} + 60 y^{5}

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Factor the expression

6 (2 y - 5) (1 - 2 y^{5})

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Find the roots

y_{1} = \frac{5 16}{2}, y_{2} = \frac{5}{2}

Alternative Form

y_{1} \approx 0.870551, y_{2} = 2.5

Evaluate

6 (2 y - 5) - 12 (2 y - 5) (y^{5})

To find the roots of the expression,set the expression equal to 0

6 (2 y - 5) - 12 (2 y - 5) (y^{5}) = 0

Calculate

6 (2 y - 5) - 12 (2 y - 5) y^{5} = 0

Multiply the terms

6 (2 y - 5) - 12 y^{5} (2 y - 5) = 0

Calculate

More Steps

12 y - 30 - 24 y^{6} + 60 y^{5} = 0

Factor the expression

- 6 (5 - 2 y) (1 - 2 y^{5}) = 0

Divide both sides

(5 - 2 y) (1 - 2 y^{5}) = 0

Separate the equation into 2 possible cases

5 - 2 y = 0 1 - 2 y^{5} = 0

Solve the equation

More Steps

y = \frac{5}{2} 1 - 2 y^{5} = 0

Solve the equation

More Steps

y = \frac{5}{2} y = \frac{5 16}{2}

Solution

y_{1} = \frac{5 16}{2}, y_{2} = \frac{5}{2}

Alternative Form

y_{1} \approx 0.870551, y_{2} = 2.5

Show Solution