Solve 7x-2x=2x 13x

Evaluate

7 x - 2 x = 2 x \times 13 x

Subtract the terms

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5 x = 2 x \times 13 x

Multiply

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5 x = 26 x^{2}

Swap the sides

26 x^{2} = 5 x

Move the expression to the left side

26 x^{2} - 5 x = 0

Factor the expression

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x (26 x - 5) = 0

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

26 x - 5 = 0 x = 0

Solve the equation for x

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x = \frac{5}{26} x = 0

Solution

x_{1} = 0, x_{2} = \frac{5}{26}

Alternative Form

x_{1} = 0, x_{2} = 0.1 \dot{9} 2307 \dot{6}

Solve the quadratic equation