Solve (3x^2)2 (2x-1)2-13x^2=13

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Type your math problem... (3x^2)2 (2x-1)2-13x^2=13

Question

Solve the equation

x \approx 1.342298

Evaluate

3 x^{2} \times 2 (2 x - 1) \times 2 - 13 x^{2} = 13

Multiply the terms

More Steps

Evaluate

3 \times 2 \times 2

Multiply the terms

6 \times 2

Multiply the numbers

12

12 x^{2} (2 x - 1) - 13 x^{2} = 13

Move the expression to the left side

12 x^{2} (2 x - 1) - 13 x^{2} - 13 = 0

Calculate

More Steps

Evaluate

12 x^{2} (2 x - 1) - 13 x^{2} - 13

Expand the expression

More Steps

Calculate

12 x^{2} (2 x - 1)

Apply the distributive property

12 x^{2} \times 2 x - 12 x^{2} \times 1

Multiply the terms

24 x^{3} - 12 x^{2} \times 1

Any expression multiplied by 1 remains the same

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

24 x^{3} - 12 x^{2} - 13 x^{2} - 13

Subtract the terms

More Steps

Evaluate

- 12 x^{2} - 13 x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 12 - 13) x^{2}

Subtract the numbers

- 25 x^{2}

24 x^{3} - 25 x^{2} - 13

24 x^{3} - 25 x^{2} - 13 = 0

Solution

x \approx 1.342298

Show Solution

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