What are the solutions to the equation (2x^3+7)^2+(2x^2+3)^3=6x^2+6x ?

The solutions to the equation (2x^3+7)^2+(2x^2+3)^3=6x^2+6x are No Solution for x\in\mathbb{R}

Find the zeros of (2x^3+7)^2+(2x^2+3)^3=6x^2+6x

The zeros of (2x^3+7)^2+(2x^2+3)^3=6x^2+6x are No Solution for x\in\mathbb{R}

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(2 x^{3} + 7)^{2} + (2 x^{2} + 3)^{3} = 6 x^{2} + 6 x

No Solution for x \in R

Solution steps

(2 x^{3} + 7)^{2} + (2 x^{2} + 3)^{3} = 6 x^{2} + 6 x

Expand

(2 x^{3} + 7)^{2} + (2 x^{2} + 3)^{3} : 12 x^{6} + 36 x^{4} + 28 x^{3} + 54 x^{2} + 76

12 x^{6} + 36 x^{4} + 28 x^{3} + 54 x^{2} + 76 = 6 x^{2} + 6 x

Move

6 x

to the left side

12 x^{6} + 36 x^{4} + 28 x^{3} + 54 x^{2} + 76 - 6 x = 6 x^{2}

Move

6 x^{2}

to the left side

12 x^{6} + 36 x^{4} + 28 x^{3} + 48 x^{2} - 6 x + 76 = 0

Find one solution for

12 x^{6} + 36 x^{4} + 28 x^{3} + 48 x^{2} - 6 x + 76 = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

No Solution for x \in R

n^{3} + 3 n^{2} + 2 n = 8436

x, y^{2} = x^{2} - x^{4}

x^{4} + x^{2} - 90 = 0

12 x^{3} - x^{2} + 13 = 0

x (x^{2} + 6 x + 9) = 4 (x + 3)

What are the solutions to the equation (2x^3+7)^2+(2x^2+3)^3=6x^2+6x ?
The solutions to the equation (2x^3+7)^2+(2x^2+3)^3=6x^2+6x are No Solution for x\in\mathbb{R}
Find the zeros of (2x^3+7)^2+(2x^2+3)^3=6x^2+6x
The zeros of (2x^3+7)^2+(2x^2+3)^3=6x^2+6x are No Solution for x\in\mathbb{R}