Basic Math Examples

$0.2 y^{4} - 1.3 y^{4} = 4.9 - 1.4$

Step 1

Subtract $1.3 y^{4}$ from $0.2 y^{4}$ .

$- 1.1 y^{4} = 4.9 - 1.4$

Step 2

Subtract $1.4$ from $4.9$ .

$- 1.1 y^{4} = 3.5$

Step 3

Divide each term in $- 1.1 y^{4} = 3.5$ by $- 1.1$ and simplify.

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Step 3.1

Divide each term in $- 1.1 y^{4} = 3.5$ by $- 1.1$ .

$\frac{- 1.1 y^{4}}{- 1.1} = \frac{3.5}{- 1.1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 1.1$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 1.1 y^{4}}{- 1.1} = \frac{3.5}{- 1.1}$

Step 3.2.1.2

Divide $y^{4}$ by $1$ .

$y^{4} = \frac{3.5}{- 1.1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $3.5$ by $- 1.1$ .

$y^{4} = - 3.\overline{18}$

Step 4

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$y = \pm \sqrt[4]{- 3.\overline{18}}$

Step 5

The complete solution is the result of both the positive and negative portions of the solution.

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Step 5.1

First, use the positive value of the $\pm$ to find the first solution.

$y = \sqrt[4]{- 3.\overline{18}}$

Step 5.2

Next, use the negative value of the $\pm$ to find the second solution.

$y = - \sqrt[4]{- 3.\overline{18}}$

Step 5.3

The complete solution is the result of both the positive and negative portions of the solution.

$y = \sqrt[4]{- 3.\overline{18}}, - \sqrt[4]{- 3.\overline{18}}$