Solve -5y^4=-4(2y^5)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 5 y^{4} + 8 y^{5} = 0

Factor the expression

y^{4} (- 5 + 8 y) = 0

Separate the equation into 2 possible cases

y^{4} = 0 - 5 + 8 y = 0

The only way a power can be 0 is when the base equals 0

y = 0 - 5 + 8 y = 0

Solve the equation

More Steps

Evaluate

- 5 + 8 y = 0

Move the constant to the right-hand side and change its sign

8 y = 0 + 5

Removing 0 doesn't change the value,so remove it from the expression

8 y = 5

Divide both sides

\frac{8 y}{8} = \frac{5}{8}

Divide the numbers

y = \frac{5}{8}

y = 0 y = \frac{5}{8}

Solution

y_{1} = 0, y_{2} = \frac{5}{8}

Alternative Form

y_{1} = 0, y_{2} = 0.625

Show Solution

Graph

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