Algebra Examples

$3 x + 4 x - 6 + x^{7} - x^{3} + 4 x^{2} - 3 x + 6 x^{7} = 0$

Step 1

Simplify $3 x + 4 x - 6 + x^{7} - x^{3} + 4 x^{2} - 3 x + 6 x^{7}$ .

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Step 1.1

Combine the opposite terms in $3 x + 4 x - 6 + x^{7} - x^{3} + 4 x^{2} - 3 x + 6 x^{7}$ .

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Step 1.1.1

Subtract $3 x$ from $3 x$ .

$4 x - 6 + x^{7} - x^{3} + 4 x^{2} + 0 + 6 x^{7} = 0$

Step 1.1.2

Add $4 x - 6 + x^{7} - x^{3} + 4 x^{2}$ and $0$ .

$4 x - 6 + x^{7} - x^{3} + 4 x^{2} + 6 x^{7} = 0$

Step 1.2

Add $x^{7}$ and $6 x^{7}$ .

$4 x - 6 + 7 x^{7} - x^{3} + 4 x^{2} = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 0.76353697$

Step 3