2(p+1)(1-q)+2(q-p)=(1-q)(p+2)-p(q-1)+15

Simple and best practice solution for 2(p+1)(1-q)+2(q-p)=(1-q)(p+2)-p(q-1)+15 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2(p+1)(1-q)+2(q-p)=(1-q)(p+2)-p(q-1)+15 equation: 


Simplifying
2(p + 1)(1 + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Reorder the terms:
2(1 + p)(1 + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Multiply (1 + p) * (1 + -1q)
2(1(1 + -1q) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
2((1 * 1 + -1q * 1) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
2((1 + -1q) + p(1 + -1q)) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
2(1 + -1q + (1 * p + -1q * p)) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
2(1 + -1q + (1p + -1pq)) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Reorder the terms:
2(1 + 1p + -1pq + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
2(1 + 1p + -1pq + -1q) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
(1 * 2 + 1p * 2 + -1pq * 2 + -1q * 2) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
(2 + 2p + -2pq + -2q) + 2(q + -1p) = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Reorder the terms:
2 + 2p + -2pq + -2q + 2(-1p + q) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
2 + 2p + -2pq + -2q + (-1p * 2 + q * 2) = (1 + -1q)(p + 2) + -1p(q + -1) + 15
2 + 2p + -2pq + -2q + (-2p + 2q) = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Reorder the terms:
2 + 2p + -2p + -2pq + -2q + 2q = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Combine like terms: 2p + -2p = 0
2 + 0 + -2pq + -2q + 2q = (1 + -1q)(p + 2) + -1p(q + -1) + 15
2 + -2pq + -2q + 2q = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Combine like terms: -2q + 2q = 0
2 + -2pq + 0 = (1 + -1q)(p + 2) + -1p(q + -1) + 15
2 + -2pq = (1 + -1q)(p + 2) + -1p(q + -1) + 15

Reorder the terms:
2 + -2pq = (1 + -1q)(2 + p) + -1p(q + -1) + 15

Multiply (1 + -1q) * (2 + p)
2 + -2pq = (1(2 + p) + -1q * (2 + p)) + -1p(q + -1) + 15
2 + -2pq = ((2 * 1 + p * 1) + -1q * (2 + p)) + -1p(q + -1) + 15
2 + -2pq = ((2 + 1p) + -1q * (2 + p)) + -1p(q + -1) + 15
2 + -2pq = (2 + 1p + (2 * -1q + p * -1q)) + -1p(q + -1) + 15

Reorder the terms:
2 + -2pq = (2 + 1p + (-1pq + -2q)) + -1p(q + -1) + 15
2 + -2pq = (2 + 1p + (-1pq + -2q)) + -1p(q + -1) + 15
2 + -2pq = (2 + 1p + -1pq + -2q) + -1p(q + -1) + 15

Reorder the terms:
2 + -2pq = 2 + 1p + -1pq + -2q + -1p(-1 + q) + 15
2 + -2pq = 2 + 1p + -1pq + -2q + (-1 * -1p + q * -1p) + 15
2 + -2pq = 2 + 1p + -1pq + -2q + (1p + -1pq) + 15

Reorder the terms:
2 + -2pq = 2 + 15 + 1p + 1p + -1pq + -1pq + -2q

Combine like terms: 2 + 15 = 17
2 + -2pq = 17 + 1p + 1p + -1pq + -1pq + -2q

Combine like terms: 1p + 1p = 2p
2 + -2pq = 17 + 2p + -1pq + -1pq + -2q

Combine like terms: -1pq + -1pq = -2pq
2 + -2pq = 17 + 2p + -2pq + -2q

Add '2pq' to each side of the equation.
2 + -2pq + 2pq = 17 + 2p + -2pq + 2pq + -2q

Combine like terms: -2pq + 2pq = 0
2 + 0 = 17 + 2p + -2pq + 2pq + -2q
2 = 17 + 2p + -2pq + 2pq + -2q

Combine like terms: -2pq + 2pq = 0
2 = 17 + 2p + 0 + -2q
2 = 17 + 2p + -2q

Solving
2 = 17 + 2p + -2q

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-2p' to each side of the equation.
2 + -2p = 17 + 2p + -2p + -2q

Combine like terms: 2p + -2p = 0
2 + -2p = 17 + 0 + -2q
2 + -2p = 17 + -2q

Add '-2' to each side of the equation.
2 + -2 + -2p = 17 + -2 + -2q

Combine like terms: 2 + -2 = 0
0 + -2p = 17 + -2 + -2q
-2p = 17 + -2 + -2q

Combine like terms: 17 + -2 = 15
-2p = 15 + -2q

Divide each side by '-2'.
p = -7.5 + q

Simplifying
p = -7.5 + q

See similar equations:

| 2(p+1)(1-q)+2(q-p)=(1-q)(p+2) | | 10nm=40 | | 8x+72=8+8x | | n+7.1=8.6 | | (p+1)(q+1)-3p(1-q)+2p(1+3q)=(p-q)(p+1)+11pq-p^2+q | | (p+1)(q+1)-3p(1-q)+2p(1+3q)=(p-q)(p+1)+10pq-p^2 | | ((-2xy^2)-3y)dx+((-2x^2)y-3x)dy=0 | | (p+1)(q+1)-3p(1-q)+2p(1+3q)=(p-q)(p+1)+10pq+p^2 | | 13x-8=-31 | | (p+1)(q+1)-3p(1-q)+2p(1+3q)=(p-q)(p+1)+pq | | 8xln(x)+x=0 | | 4x-2(x-3)=-7+5x-2 | | (p+1)(q+1)-3p(1-q)+2p(1+3q)=(p-q)(p+1)-9pq | | (p+1)(q+1)-3p(1-q)+2p(1+3q)=(p-q)(p+1) | | 4m-2=-16-3 | | 9tan^2(3x)=27 | | -9y+7=24y-2 | | k(1-k)-k(1+k)+(2k+1)-(1-2k)=11k+5 | | 2x^3+6x^2+4x+12=0 | | 7x^2+62=0 | | 12(x+3)=4(2x+8)+4x | | 5(x+4)+4=5x-(4-x) | | X(3X+4)=32 | | 7y^2-49=0 | | -2(u-4)=-8u+2 | | 2x+(2x+1)=27 | | -2(u-4)=-8+2 | | 6x=39-7x | | 2[7-(-5x-3)]=60x+50 | | 8v-26=2(v-7) | | -x(6x-7)= | | -x^2-x-0.55=0 |

Equations solver categories