Solve 5x^2(2x-4)=55 - ScanMath

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Type your math problem... 5x^2(2x-4)=55

x

Question

Solve the equation

x \approx 2.735177

Evaluate

5 x^{2} (2 x - 4) = 55

Expand the expression

More Steps

Evaluate

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

Apply the distributive property

5 x^{2} \times 2 x - 5 x^{2} \times 4

Multiply the terms

More Steps

Evaluate

5 x^{2} \times 2 x

Multiply the numbers

10 x^{2} \times x

Multiply the terms

10 x^{3}

10 x^{3} - 5 x^{2} \times 4

Multiply the numbers

10 x^{3} - 20 x^{2}

10 x^{3} - 20 x^{2} = 55

Move the expression to the left side

10 x^{3} - 20 x^{2} - 55 = 0

Factor the expression

5 (2 x^{3} - 4 x^{2} - 11) = 0

Divide both sides

2 x^{3} - 4 x^{2} - 11 = 0

Solution

x \approx 2.735177

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