Solve 3(x - 1) 2(x 1) = 4(x 1)

Evaluate

3 (x - 1) \times 2 (x \times 1) = 4 (x \times 1)

Remove the parentheses

3 (x - 1) \times 2 x \times 1 = 4 x \times 1

Simplify

3 (x - 1) \times 2 x = 4 x

Multiply

More Steps

6 x (x - 1) = 4 x

Expand the expression

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6 x^{2} - 6 x = 4 x

Move the expression to the left side

6 x^{2} - 10 x = 0

Factor the expression

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2 x (3 x - 5) = 0

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

3 x - 5 = 0 2 x = 0

Solve the equation for x

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x = \frac{5}{3} 2 x = 0

Solve the equation for x

x = \frac{5}{3} x = 0

Solution

x_{1} = 0, x_{2} = \frac{5}{3}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{6}

Solve the quadratic equation