Algebra Examples

$- 8.6 (- 84 u - 68) = - 17.2 (8 u - 93)$

Step 1

Simplify $- 8.6 (- 84 u - 68)$ .

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Step 1.1

Rewrite.

$0 + 0 - 8.6 (- 84 u - 68) = - 17.2 (8 u - 93)$

Step 1.2

Simplify by adding zeros.

$- 8.6 (- 84 u - 68) = - 17.2 (8 u - 93)$

Step 1.3

Apply the distributive property.

$- 8.6 (- 84 u) - 8.6 \cdot - 68 = - 17.2 (8 u - 93)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $- 84$ by $- 8.6$ .

$722.4 u - 8.6 \cdot - 68 = - 17.2 (8 u - 93)$

Step 1.4.2

Multiply $- 8.6$ by $- 68$ .

$722.4 u + 584.8 = - 17.2 (8 u - 93)$

Step 2

Simplify $- 17.2 (8 u - 93)$ .

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Step 2.1

Apply the distributive property.

$722.4 u + 584.8 = - 17.2 (8 u) - 17.2 \cdot - 93$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $8$ by $- 17.2$ .

$722.4 u + 584.8 = - 137.6 u - 17.2 \cdot - 93$

Step 2.2.2

Multiply $- 17.2$ by $- 93$ .

$722.4 u + 584.8 = - 137.6 u + 1599.6$

Step 3

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

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Step 3.1

Add $137.6 u$ to both sides of the equation.

$722.4 u + 584.8 + 137.6 u = 1599.6$

Step 3.2

Add $722.4 u$ and $137.6 u$ .

$860 u + 584.8 = 1599.6$

Step 4

Move all terms not containing $u$ to the right side of the equation.

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Step 4.1

Subtract $584.8$ from both sides of the equation.

$860 u = 1599.6 - 584.8$

Step 4.2

Subtract $584.8$ from $1599.6$ .

$860 u = 1014.8$

Step 5

Divide each term in $860 u = 1014.8$ by $860$ and simplify.

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Step 5.1

Divide each term in $860 u = 1014.8$ by $860$ .

$\frac{860 u}{860} = \frac{1014.8}{860}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $860$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{860 u}{860} = \frac{1014.8}{860}$

Step 5.2.1.2

Divide $u$ by $1$ .

$u = \frac{1014.8}{860}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $1014.8$ by $860$ .

$u = 1.18$