Algebra Examples

$p (x) = 5 x^{4} + 7 x^{3} - 2 x^{2} - 3 x + c$

Step 1

Rewrite the equation as $5 x^{4} + 7 x^{3} - 2 x^{2} - 3 x + c = p x$ .

$5 x^{4} + 7 x^{3} - 2 x^{2} - 3 x + c = p x$

Step 2

Move all terms not containing $c$ to the right side of the equation.

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Step 2.1

Subtract $5 x^{4}$ from both sides of the equation.

$7 x^{3} - 2 x^{2} - 3 x + c = p x - 5 x^{4}$

Step 2.2

Subtract $7 x^{3}$ from both sides of the equation.

$- 2 x^{2} - 3 x + c = p x - 5 x^{4} - 7 x^{3}$

Step 2.3

Add $2 x^{2}$ to both sides of the equation.

$- 3 x + c = p x - 5 x^{4} - 7 x^{3} + 2 x^{2}$

Step 2.4

Add $3 x$ to both sides of the equation.

$c = p x - 5 x^{4} - 7 x^{3} + 2 x^{2} + 3 x$