Solve 3 - F(x) = x ^ - 6 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3-F(x)=x^{-6}$$

Solve for F

$F=\frac{3x^{6}-1}{x^{7}}$
$x\neq 0$

Steps for Solving Linear Equation

Subtract $3$ from both sides.

$$-Fx=x^{-6}-3$$

The equation is in standard form.

$$\left(-x\right)F=-3+\frac{1}{x^{6}}$$

Divide both sides by $-x$.

$$\frac{\left(-x\right)F}{-x}=\frac{-3+\frac{1}{x^{6}}}{-x}$$

Dividing by $-x$ undoes the multiplication by $-x$.

$$F=\frac{-3+\frac{1}{x^{6}}}{-x}$$

Divide $-3+\frac{1}{x^{6}}$ by $-x$.

$$F=\frac{3}{x}-\frac{1}{x^{7}}$$