Basic Math Examples

$\frac{d}{0.2} = 3 d + 2.1$

Step 1

Multiply both sides by $0.2$ .

$\frac{d}{0.2} \cdot 0.2 = (3 d + 2.1) \cdot 0.2$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $0.2$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{d}{0.2} \cdot 0.2 = (3 d + 2.1) \cdot 0.2$

Step 2.1.1.2

Rewrite the expression.

$d = (3 d + 2.1) \cdot 0.2$

$d = (3 d + 2.1) \cdot 0.2$

$d = (3 d + 2.1) \cdot 0.2$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $(3 d + 2.1) \cdot 0.2$ .

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Step 2.2.1.1

Apply the distributive property.

$d = 3 d \cdot 0.2 + 2.1 \cdot 0.2$

Step 2.2.1.2

Multiply.

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Step 2.2.1.2.1

Multiply $0.2$ by $3$ .

$d = 0.6 d + 2.1 \cdot 0.2$

Step 2.2.1.2.2

Multiply $2.1$ by $0.2$ .

$d = 0.6 d + 0.42$

$d = 0.6 d + 0.42$

$d = 0.6 d + 0.42$

$d = 0.6 d + 0.42$

$d = 0.6 d + 0.42$

Step 3

Solve for $d$ .

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Step 3.1

Move all terms containing $d$ to the left side of the equation.

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Step 3.1.1

Subtract $0.6 d$ from both sides of the equation.

$d - 0.6 d = 0.42$

Step 3.1.2

Subtract $0.6 d$ from $d$ .

$0.4 d = 0.42$

$0.4 d = 0.42$

Step 3.2

Divide each term in $0.4 d = 0.42$ by $0.4$ and simplify.

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Step 3.2.1

Divide each term in $0.4 d = 0.42$ by $0.4$ .

$\frac{0.4 d}{0.4} = \frac{0.42}{0.4}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $0.4$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{0.4 d}{0.4} = \frac{0.42}{0.4}$

Step 3.2.2.1.2

Divide $d$ by $1$ .

$d = \frac{0.42}{0.4}$

$d = \frac{0.42}{0.4}$

$d = \frac{0.42}{0.4}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $0.42$ by $0.4$ .

$d = 1.05$

$d = 1.05$

$d = 1.05$

$d = 1.05$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$