Solve for s 7s^2-7s=0

$7 s^{2} - 7 s = 0$

Factor $7 s$ out of $7 s^{2} - 7 s$ .

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Factor $7 s$ out of $7 s^{2}$ .

$7 s (s) - 7 s = 0$

Factor $7 s$ out of $- 7 s$ .

$7 s (s) + 7 s (- 1) = 0$

Factor $7 s$ out of $7 s (s) + 7 s (- 1)$ .

$7 s (s - 1) = 0$

Divide each term by $7$ and simplify.

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Divide each term in $7 s (s - 1) = 0$ by $7$ .

$\frac{7 s (s - 1)}{7} = \frac{0}{7}$

Simplify $\frac{7 s (s - 1)}{7}$ .

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Simplify terms.

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Cancel the common factor of $7$ .

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Cancel the common factor.

$\frac{7 s (s - 1)}{7} = \frac{0}{7}$

Divide $s (s - 1)$ by $1$ .

$s (s - 1) = \frac{0}{7}$

Apply the distributive property.

$s \cdot s + s \cdot - 1 = \frac{0}{7}$

Simplify the expression.

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Multiply $s$ by $s$ .

$s^{2} + s \cdot - 1 = \frac{0}{7}$

Move $- 1$ to the left of $s$ .

$s^{2} - 1 \cdot s = \frac{0}{7}$

Rewrite $- 1 s$ as $- s$ .

$s^{2} - s = \frac{0}{7}$

Divide $0$ by $7$ .

$s^{2} - s = 0$

Factor $s$ out of $s^{2} - s$ .

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Factor $s$ out of $s^{2}$ .

$s \cdot s - s = 0$

Factor $s$ out of $- s$ .

$s \cdot s + s \cdot - 1 = 0$

Factor $s$ out of $s \cdot s + s \cdot - 1$ .

$s (s - 1) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$s = 0$

$s - 1 = 0$

Set the first factor equal to $0$ .

$s = 0$

Set the next factor equal to $0$ and solve.

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Set the next factor equal to $0$ .

$s - 1 = 0$

Add $1$ to both sides of the equation.

$s = 1$

The final solution is all the values that make $s (s - 1) = 0$ true.

$s = 0, 1$

Solve for s 7s^2-7s=0

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