Solve (-1/7j^2/5) -(3/2j 7/15) - ScanMath

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Type your math problem... (-1/7j^2/5) -(3/2j 7/15)

Question

Simplify the expression

- \frac{2 j ^{2} + 49 j}{70}

Show Solution

Find the roots

j_{1} = - \frac{49}{2}, j_{2} = 0

Alternative Form

j_{1} = - 24.5, j_{2} = 0

Evaluate

(- \frac{1}{7} \times \frac{j ^{2}}{5}) - (\frac{3}{2} j \times \frac{7}{15})

To find the roots of the expression,set the expression equal to 0

(- \frac{1}{7} \times \frac{j ^{2}}{5}) - (\frac{3}{2} j \times \frac{7}{15}) = 0

Multiply the terms

More Steps

(- \frac{j ^{2}}{35}) - (\frac{3}{2} j \times \frac{7}{15}) = 0

Remove the parentheses

- \frac{j ^{2}}{35} - (\frac{3}{2} j \times \frac{7}{15}) = 0

Multiply the terms

More Steps

- \frac{j ^{2}}{35} - \frac{7}{10} j = 0

Subtract the terms

More Steps

- \frac{2 j ^{2} + 49 j}{70} = 0

Simplify

- 2 j^{2} - 49 j = 0

Factor the expression

More Steps

- j (2 j + 49) = 0

When the product of factors equals 0,at least one factor is 0

- j = 0 2 j + 49 = 0

Solve the equation for j

j = 0 2 j + 49 = 0

Solve the equation for j

More Steps

j = 0 j = - \frac{49}{2}

Solution

j_{1} = - \frac{49}{2}, j_{2} = 0

Alternative Form

j_{1} = - 24.5, j_{2} = 0

Show Solution