Solve 4x(3x-2) - 2x(5x^2 - 4x^2) - ScanMath

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Type your math problem... 4x(3x-2) - 2x(5x^2 - 4x^2)

Question

Simplify the expression

12 x^{2} - 8 x - 2 x^{3}

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Factor the expression

2 x (6 x - 4 - x^{2})

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Find the roots

x_{1} = 0, x_{2} = 3 - 5, x_{3} = 3 + 5

Alternative Form

x_{1} = 0, x_{2} \approx 0.763932, x_{3} \approx 5.236068

Evaluate

4 x (3 x - 2) - 2 x (5 x^{2} - 4 x^{2})

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

4 x (3 x - 2) - 2 x (5 x^{2} - 4 x^{2}) = 0

Subtract the terms

More Steps

4 x (3 x - 2) - 2 x \times x^{2} = 0

Multiply

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4 x (3 x - 2) - 2 x^{3} = 0

Calculate

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12 x^{2} - 8 x - 2 x^{3} = 0

Factor the expression

2 x (6 x - 4 - x^{2}) = 0

Divide both sides

x (6 x - 4 - x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 6 x - 4 - x^{2} = 0

Solve the equation

More Steps

x = 0 x = 3 + 5 x = 3 - 5

Solution

x_{1} = 0, x_{2} = 3 - 5, x_{3} = 3 + 5

Alternative Form

x_{1} = 0, x_{2} \approx 0.763932, x_{3} \approx 5.236068

Show Solution