Solve (2 - 3x) 2 - (3x - 2)(23x) - ScanMath

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Type your math problem... (2 - 3x) 2 - (3x - 2)(23x)

Question

Simplify the expression

4 + 40 x - 69 x^{2}

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Factor the expression

- (2 + 23 x) (3 x - 2)

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Find the roots

x_{1} = - \frac{2}{23}, x_{2} = \frac{2}{3}

Alternative Form

x_{1} \approx - 0.086957, x_{2} = 0. \dot{6}

Evaluate

(2 - 3 x) \times 2 - (3 x - 2) (23 x)

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

(2 - 3 x) \times 2 - (3 x - 2) (23 x) = 0

Multiply the terms

(2 - 3 x) \times 2 - (3 x - 2) \times 23 x = 0

Multiply the terms

2 (2 - 3 x) - (3 x - 2) \times 23 x = 0

Multiply the terms

2 (2 - 3 x) - 23 x (3 x - 2) = 0

Calculate

More Steps

4 + 40 x - 69 x^{2} = 0

Factor the expression

More Steps

(2 - 3 x) (2 + 23 x) = 0

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

2 - 3 x = 0 2 + 23 x = 0

Solve the equation for x

More Steps

x = \frac{2}{3} 2 + 23 x = 0

Solve the equation for x

More Steps

x = \frac{2}{3} x = - \frac{2}{23}

Solution

x_{1} = - \frac{2}{23}, x_{2} = \frac{2}{3}

Alternative Form

x_{1} \approx - 0.086957, x_{2} = 0. \dot{6}

Show Solution