Solve 3/4j-2[1/2j^2]=1/8j

Evaluate

\frac{3}{4} j - 2 \times \frac{1}{2} j^{2} = \frac{1}{8} j

Multiply the numbers

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\frac{3}{4} j - j^{2} = \frac{1}{8} j

Move the expression to the left side

\frac{5}{8} j - j^{2} = 0

Factor the expression

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\frac{1}{8} j (5 - 8 j) = 0

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

5 - 8 j = 0 \frac{1}{8} j = 0

Solve the equation for j

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j = \frac{5}{8} \frac{1}{8} j = 0

Solve the equation for j

j = \frac{5}{8} j = 0

Solution

j_{1} = 0, j_{2} = \frac{5}{8}

Alternative Form

j_{1} = 0, j_{2} = 0.625

Solve the quadratic equation