Solve for p
p=-7
Share
Copied to clipboard
\left(p+6\right)\left(-4\right)=\left(p+3\right)\left(-1\right)
Variable p cannot be equal to any of the values -6,-3 since division by zero is not defined. Multiply both sides of the equation by \left(p+3\right)\left(p+6\right), the least common multiple of p+3,p+6.
-4p-24=\left(p+3\right)\left(-1\right)
Use the distributive property to multiply p+6 by -4.
-4p-24=-p-3
Use the distributive property to multiply p+3 by -1.
-4p-24+p=-3
Add p to both sides.
-3p-24=-3
Combine -4p and p to get -3p.
-3p=-3+24
Add 24 to both sides.
-3p=21
Add -3 and 24 to get 21.
p=\frac{21}{-3}
Divide both sides by -3.
p=-7
Divide 21 by -3 to get -7.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}