Finite Math Examples

$h (t) = - 16 t^{2} + 224 t$

Step 1

Set $- 16 t^{2} + 224 t$ equal to $0$ .

$- 16 t^{2} + 224 t = 0$

Step 2

Solve for $x$ .

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Step 2.1

Factor $- 16 t$ out of $- 16 t^{2} + 224 t$ .

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Step 2.1.1

Factor $- 16 t$ out of $- 16 t^{2}$ .

$- 16 t \cdot t + 224 t = 0$

Step 2.1.2

Factor $- 16 t$ out of $224 t$ .

$- 16 t \cdot t - 16 t \cdot - 14 = 0$

Step 2.1.3

Factor $- 16 t$ out of $- 16 t (t) - 16 t (- 14)$ .

$- 16 t (t - 14) = 0$

Step 2.2

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

$t = 0$

$t - 14 = 0$

Step 2.3

Set $t$ equal to $0$ .

$t = 0$

Step 2.4

Set $t - 14$ equal to $0$ and solve for $t$ .

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Step 2.4.1

Set $t - 14$ equal to $0$ .

$t - 14 = 0$

Step 2.4.2

Add $14$ to both sides of the equation.

$t = 14$

Step 2.5

The final solution is all the values that make $- 16 t (t - 14) = 0$ true.

$t = 0, 14$

Step 3