Solve 2x⋅(3x-2)-7(3x-2) - ScanMath

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Type your math problem... 2x⋅(3x-2)-7(3x-2)

Question

Simplify the expression

6 x^{2} - 25 x + 14

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Factor the expression

(2 x - 7) (3 x - 2)

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Find the roots

x_{1} = \frac{2}{3}, x_{2} = \frac{7}{2}

Alternative Form

x_{1} = 0. \dot{6}, x_{2} = 3.5

Evaluate

2 x (3 x - 2) - 7 (3 x - 2)

To find the roots of the expression,set the expression equal to 0

2 x (3 x - 2) - 7 (3 x - 2) = 0

Calculate

More Steps

6 x^{2} - 25 x + 14 = 0

Factor the expression

More Steps

(2 x - 7) (3 x - 2) = 0

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

2 x - 7 = 0 3 x - 2 = 0

Solve the equation for x

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x = \frac{7}{2} 3 x - 2 = 0

Solve the equation for x

More Steps

x = \frac{7}{2} x = \frac{2}{3}

Solution

x_{1} = \frac{2}{3}, x_{2} = \frac{7}{2}

Alternative Form

x_{1} = 0. \dot{6}, x_{2} = 3.5

Show Solution