Solve -x^2=-5x^38

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

- x^{2} + 40 x^{3} = 0

Factor the expression

x^{2} (- 1 + 40 x) = 0

Separate the equation into 2 possible cases

x^{2} = 0 - 1 + 40 x = 0

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

x = 0 - 1 + 40 x = 0

Solve the equation

More Steps

Evaluate

- 1 + 40 x = 0

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

40 x = 0 + 1

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

40 x = 1

Divide both sides

\frac{40 x}{40} = \frac{1}{40}

Divide the numbers

x = \frac{1}{40}

x = 0 x = \frac{1}{40}

Solution

x_{1} = 0, x_{2} = \frac{1}{40}

Alternative Form

x_{1} = 0, x_{2} = 0.025

Show Solution

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