Solve 2*(3x^5)-(x-2)2 (x 1)2=6*(2x 1)

Evaluate

2 \times 3 x^{5} - (x - 2) \times 2 (x \times 1) \times 2 = 6 (2 x \times 1)

Remove the parentheses

2 \times 3 x^{5} - (x - 2) \times 2 x \times 1 \times 2 = 6 \times 2 x \times 1

Simplify

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6 x^{5} - 4 x (x - 2) = 6 \times 2 x \times 1

Multiply the terms

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6 x^{5} - 4 x (x - 2) = 12 x

Move the expression to the left side

6 x^{5} - 4 x (x - 2) - 12 x = 0

Calculate

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6 x^{5} - 4 x^{2} - 4 x = 0

Factor the expression

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

Divide both sides

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

Separate the equation into 2 possible cases

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

Solve the equation

x = 0 x \approx 1.085931 x \approx - 0.67975

Solution

x_{1} \approx - 0.67975, x_{2} = 0, x_{3} \approx 1.085931

Solve the equation