Solve 32x^2-10x=(91)22x 72

Evaluate

32 x^{2} - 10 x = 91 \times 22 x \times 72

Multiply the terms

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32 x^{2} - 10 x = 144144 x

Move the expression to the left side

32 x^{2} - 144154 x = 0

Factor the expression

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2 x (16 x - 72077) = 0

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

16 x - 72077 = 0 2 x = 0

Solve the equation for x

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x = \frac{72077}{16} 2 x = 0

Solve the equation for x

x = \frac{72077}{16} x = 0

Solution

x_{1} = 0, x_{2} = \frac{72077}{16}

Alternative Form

x_{1} = 0, x_{2} = 4504.8125

Solve the quadratic equation