Solve 6(n(-2)^2-(-3))/-5=5n

$$\frac { 6 ( n ( - 2 ) ^ { 2 } - ( - 3 ) ) } { - 5 } = 5 n$$

Solve for n

$$n=-\frac{18}{49}\approx -0.367346939$$

Steps for Solving Linear Equation

Multiply both sides of the equation by -5.

$$6\left(n\left(-2\right)^{2}-\left(-3\right)\right)=-25n$$

Calculate -2 to the power of 2 and get 4.

$$6\left(n\times 4-\left(-3\right)\right)=-25n$$

The opposite of -3 is 3.

$$6\left(n\times 4+3\right)=-25n$$

Use the distributive property to multiply 6 by n\times 4+3.

$$6n\times 4+18=-25n$$

Multiply 6 and 4 to get 24.

$$24n+18=-25n$$

Add 25n to both sides.

$$24n+18+25n=0$$

Combine 24n and 25n to get 49n.

$$49n+18=0$$

Subtract 18 from both sides. Anything subtracted from zero gives its negation.

$$49n=-18$$

Divide both sides by 49.

$$n=\frac{-18}{49}$$

Fraction \frac{-18}{49} can be rewritten as -\frac{18}{49} by extracting the negative sign.

$$n=-\frac{18}{49}$$