Solve 0=2x^2-7x/4 71/10

Evaluate

0 = 2 x^{2} - (7 \times \frac{x}{4}) \times \frac{71}{10}

Remove the parentheses

0 = 2 x^{2} - 7 \times \frac{x}{4} \times \frac{71}{10}

Multiply

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0 = 2 x^{2} - \frac{497 x}{40}

Swap the sides of the equation

2 x^{2} - \frac{497 x}{40} = 0

Multiply both sides of the equation by LCD

(2 x^{2} - \frac{497 x}{40}) \times 40 = 0 \times 40

Simplify the equation

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80 x^{2} - 497 x = 0 \times 40

Any expression multiplied by 0 equals 0

80 x^{2} - 497 x = 0

Factor the expression

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x (80 x - 497) = 0

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

x = 0 80 x - 497 = 0

Solve the equation for x

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x = 0 x = \frac{497}{80}

Solution

x_{1} = 0, x_{2} = \frac{497}{80}

Alternative Form

x_{1} = 0, x_{2} = 6.2125

Solve the equation