Solve -7(lambda+2)+4(lambda+3)=0

$$- 7 ( \lambda + 2 ) + 4 ( \lambda + 3 ) = 0$$

Solve for λ

$$\lambda =-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by \lambda +2.

$$-7\lambda -14+4\left(\lambda +3\right)=0$$

Use the distributive property to multiply 4 by \lambda +3.

$$-7\lambda -14+4\lambda +12=0$$

Combine -7\lambda and 4\lambda to get -3\lambda .

$$-3\lambda -14+12=0$$

Add -14 and 12 to get -2.

$$-3\lambda -2=0$$

Add 2 to both sides. Anything plus zero gives itself.

$$-3\lambda =2$$

Divide both sides by -3.

$$\lambda =\frac{2}{-3}$$

Fraction \frac{2}{-3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$\lambda =-\frac{2}{3}$$