Basic Math Examples

1.13 = v \cdot 0.934 - 0.5 \cdot 9.8 \cdot {0.934}^{2}

$1.13 = v \cdot 0.934 - 0.5 \cdot 9.8 \cdot {0.934}^{2}$

Step 1

Rewrite the equation as

v \cdot 0.934 - 0.5 \cdot 9.8 \cdot {0.934}^{2} = 1.13

$v \cdot 0.934 - 0.5 \cdot 9.8 \cdot {0.934}^{2} = 1.13$ .

v \cdot 0.934 - 0.5 \cdot 9.8 \cdot {0.934}^{2} = 1.13

$v \cdot 0.934 - 0.5 \cdot 9.8 \cdot {0.934}^{2} = 1.13$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Move

0.934

$0.934$ to the left of

v

$v$ .

0.934 \cdot v - 0.5 \cdot 9.8 \cdot {0.934}^{2} = 1.13

$0.934 \cdot v - 0.5 \cdot 9.8 \cdot {0.934}^{2} = 1.13$

Step 2.2

Multiply

- 0.5

$- 0.5$ by

9.8

$9.8$ .

0.934 v - 4.9 \cdot {0.934}^{2} = 1.13

$0.934 v - 4.9 \cdot {0.934}^{2} = 1.13$

Step 2.3

Raise

0.934

$0.934$ to the power of

2

$2$ .

0.934 v - 4.9 \cdot 0.872356 = 1.13

$0.934 v - 4.9 \cdot 0.872356 = 1.13$

Step 2.4

Multiply

- 4.9

$- 4.9$ by

0.872356

$0.872356$ .

0.934 v - 4.2745444 = 1.13

$0.934 v - 4.2745444 = 1.13$

0.934 v - 4.2745444 = 1.13

$0.934 v - 4.2745444 = 1.13$

Step 3

Move all terms not containing

v

$v$ to the right side of the equation.

Tap for more steps...

Step 3.1

Add

4.2745444

$4.2745444$ to both sides of the equation.

0.934 v = 1.13 + 4.2745444

$0.934 v = 1.13 + 4.2745444$

Step 3.2

Add

1.13

$1.13$ and

4.2745444

$4.2745444$ .

0.934 v = 5.4045444

$0.934 v = 5.4045444$

0.934 v = 5.4045444

$0.934 v = 5.4045444$

Step 4

Divide each term in

0.934 v = 5.4045444

$0.934 v = 5.4045444$ by

0.934

$0.934$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in

0.934 v = 5.4045444

$0.934 v = 5.4045444$ by

0.934

$0.934$ .

\frac{0.934 v}{0.934} = \frac{5.4045444}{0.934}

$\frac{0.934 v}{0.934} = \frac{5.4045444}{0.934}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of

0.934

$0.934$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{0.934 v}{0.934} = \frac{5.4045444}{0.934}$

Step 4.2.1.2

Divide

$v$ by

$1$ .

$v = \frac{5.4045444}{0.934}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Divide

$5.4045444$ by

$0.934$ .

$v = 5.7864501$