Basic Math Examples

${(s - 1)}^{2} {(s - 3)}^{2} = 0$

Step 1

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

${(s - 1)}^{2} = 0$

${(s - 3)}^{2} = 0$

Step 2

Set ${(s - 1)}^{2}$ equal to $0$ and solve for $s$ .

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Step 2.1

Set ${(s - 1)}^{2}$ equal to $0$ .

${(s - 1)}^{2} = 0$

Step 2.2

Solve ${(s - 1)}^{2} = 0$ for $s$ .

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Step 2.2.1

Set the $s - 1$ equal to $0$ .

$s - 1 = 0$

Step 2.2.2

Add $1$ to both sides of the equation.

$s = 1$

Step 3

Set ${(s - 3)}^{2}$ equal to $0$ and solve for $s$ .

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Step 3.1

Set ${(s - 3)}^{2}$ equal to $0$ .

${(s - 3)}^{2} = 0$

Step 3.2

Solve ${(s - 3)}^{2} = 0$ for $s$ .

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Step 3.2.1

Set the $s - 3$ equal to $0$ .

$s - 3 = 0$

Step 3.2.2

Add $3$ to both sides of the equation.

$s = 3$

Step 4

The final solution is all the values that make ${(s - 1)}^{2} {(s - 3)}^{2} = 0$ true.

$s = 1, 3$