Solve 3(1 1/4w)=4 w w

Evaluate

3 (1 \frac{1}{4} \times w) = 4 w \times w

Remove the parentheses

3 \times 1 \frac{1}{4} \times w = 4 w \times w

Simplify

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\frac{15}{4} w = 4 w \times w

Multiply the terms

\frac{15}{4} w = 4 w^{2}

Swap the sides

4 w^{2} = \frac{15}{4} w

Move the expression to the left side

4 w^{2} - \frac{15}{4} w = 0

Factor the expression

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\frac{1}{4} w (16 w - 15) = 0

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

16 w - 15 = 0 \frac{1}{4} w = 0

Solve the equation for w

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w = \frac{15}{16} \frac{1}{4} w = 0

Solve the equation for w

w = \frac{15}{16} w = 0

Solution

w_{1} = 0, w_{2} = \frac{15}{16}

Alternative Form

w_{1} = 0, w_{2} = 0.9375

Solve the quadratic equation