(x-p)(x^2+11x+15)=(x^2-9)(2x+q)

Simple and best practice solution for (x-p)(x^2+11x+15)=(x^2-9)(2x+q) 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 (x-p)(x^2+11x+15)=(x^2-9)(2x+q) equation: 


Simplifying
(x + -1p)(x2 + 11x + 15) = (x2 + -9)(2x + q)

Reorder the terms:
(-1p + x)(x2 + 11x + 15) = (x2 + -9)(2x + q)

Reorder the terms:
(-1p + x)(15 + 11x + x2) = (x2 + -9)(2x + q)

Multiply (-1p + x) * (15 + 11x + x2)
(-1p * (15 + 11x + x2) + x(15 + 11x + x2)) = (x2 + -9)(2x + q)
((15 * -1p + 11x * -1p + x2 * -1p) + x(15 + 11x + x2)) = (x2 + -9)(2x + q)
((-15p + -11px + -1px2) + x(15 + 11x + x2)) = (x2 + -9)(2x + q)
(-15p + -11px + -1px2 + (15 * x + 11x * x + x2 * x)) = (x2 + -9)(2x + q)
(-15p + -11px + -1px2 + (15x + 11x2 + x3)) = (x2 + -9)(2x + q)
(-15p + -11px + -1px2 + 15x + 11x2 + x3) = (x2 + -9)(2x + q)

Reorder the terms:
-15p + -11px + -1px2 + 15x + 11x2 + x3 = (-9 + x2)(2x + q)

Reorder the terms:
-15p + -11px + -1px2 + 15x + 11x2 + x3 = (-9 + x2)(q + 2x)

Multiply (-9 + x2) * (q + 2x)
-15p + -11px + -1px2 + 15x + 11x2 + x3 = (-9(q + 2x) + x2(q + 2x))
-15p + -11px + -1px2 + 15x + 11x2 + x3 = ((q * -9 + 2x * -9) + x2(q + 2x))
-15p + -11px + -1px2 + 15x + 11x2 + x3 = ((-9q + -18x) + x2(q + 2x))
-15p + -11px + -1px2 + 15x + 11x2 + x3 = (-9q + -18x + (q * x2 + 2x * x2))
-15p + -11px + -1px2 + 15x + 11x2 + x3 = (-9q + -18x + (qx2 + 2x3))

Reorder the terms:
-15p + -11px + -1px2 + 15x + 11x2 + x3 = (-9q + qx2 + -18x + 2x3)
-15p + -11px + -1px2 + 15x + 11x2 + x3 = (-9q + qx2 + -18x + 2x3)

Solving
-15p + -11px + -1px2 + 15x + 11x2 + x3 = -9q + qx2 + -18x + 2x3

Solving for variable 'p'.

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

Add '-15x' to each side of the equation.
-15p + -11px + -1px2 + 15x + 11x2 + -15x + x3 = -9q + qx2 + -18x + -15x + 2x3

Reorder the terms:
-15p + -11px + -1px2 + 15x + -15x + 11x2 + x3 = -9q + qx2 + -18x + -15x + 2x3

Combine like terms: 15x + -15x = 0
-15p + -11px + -1px2 + 0 + 11x2 + x3 = -9q + qx2 + -18x + -15x + 2x3
-15p + -11px + -1px2 + 11x2 + x3 = -9q + qx2 + -18x + -15x + 2x3

Combine like terms: -18x + -15x = -33x
-15p + -11px + -1px2 + 11x2 + x3 = -9q + qx2 + -33x + 2x3

Add '-11x2' to each side of the equation.
-15p + -11px + -1px2 + 11x2 + -11x2 + x3 = -9q + qx2 + -33x + -11x2 + 2x3

Combine like terms: 11x2 + -11x2 = 0
-15p + -11px + -1px2 + 0 + x3 = -9q + qx2 + -33x + -11x2 + 2x3
-15p + -11px + -1px2 + x3 = -9q + qx2 + -33x + -11x2 + 2x3

Add '-1x3' to each side of the equation.
-15p + -11px + -1px2 + x3 + -1x3 = -9q + qx2 + -33x + -11x2 + 2x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-15p + -11px + -1px2 + 0 = -9q + qx2 + -33x + -11x2 + 2x3 + -1x3
-15p + -11px + -1px2 = -9q + qx2 + -33x + -11x2 + 2x3 + -1x3

Combine like terms: 2x3 + -1x3 = 1x3
-15p + -11px + -1px2 = -9q + qx2 + -33x + -11x2 + 1x3

Reorder the terms:
-15p + -11px + -1px2 + 9q + -1qx2 + 33x + 11x2 + -1x3 = -9q + 9q + qx2 + -1qx2 + -33x + 33x + -11x2 + 11x2 + 1x3 + -1x3

Combine like terms: -9q + 9q = 0
-15p + -11px + -1px2 + 9q + -1qx2 + 33x + 11x2 + -1x3 = 0 + qx2 + -1qx2 + -33x + 33x + -11x2 + 11x2 + 1x3 + -1x3
-15p + -11px + -1px2 + 9q + -1qx2 + 33x + 11x2 + -1x3 = qx2 + -1qx2 + -33x + 33x + -11x2 + 11x2 + 1x3 + -1x3

Combine like terms: qx2 + -1qx2 = 0
-15p + -11px + -1px2 + 9q + -1qx2 + 33x + 11x2 + -1x3 = 0 + -33x + 33x + -11x2 + 11x2 + 1x3 + -1x3
-15p + -11px + -1px2 + 9q + -1qx2 + 33x + 11x2 + -1x3 = -33x + 33x + -11x2 + 11x2 + 1x3 + -1x3

Combine like terms: -33x + 33x = 0
-15p + -11px + -1px2 + 9q + -1qx2 + 33x + 11x2 + -1x3 = 0 + -11x2 + 11x2 + 1x3 + -1x3
-15p + -11px + -1px2 + 9q + -1qx2 + 33x + 11x2 + -1x3 = -11x2 + 11x2 + 1x3 + -1x3

Combine like terms: -11x2 + 11x2 = 0
-15p + -11px + -1px2 + 9q + -1qx2 + 33x + 11x2 + -1x3 = 0 + 1x3 + -1x3
-15p + -11px + -1px2 + 9q + -1qx2 + 33x + 11x2 + -1x3 = 1x3 + -1x3

Combine like terms: 1x3 + -1x3 = 0
-15p + -11px + -1px2 + 9q + -1qx2 + 33x + 11x2 + -1x3 = 0

The solution to this equation could not be determined.

See similar equations:

| 2x^2-3-15=0 | | k+84738398=98393398 | | 8+9t=21t-17 | | X^2+.52x=-25 | | 3(b+4b)=40-15+20 | | -4(w-3)-6w=-2(w+6) | | 0=0.4t^2-7.7t+0.5 | | 0.2+10000= | | 3+9*2= | | 2(x-6)+3(2-3x)=5(2x-1)+4x-1 | | 3c+5=4 | | F(x)=x^2-4+6 | | 5(19m-18)=-8-7(-15m-14) | | (2x)3=8 | | 5x^2y+15y-35=0 | | x^5-2x^4=0 | | X*5*0.0333+X=120 | | ln(5-x)=e | | x^8=108 | | f(x)=0.3+x | | -5(1-2x)=25+5x | | -16+5x=-7+4(x-3) | | 7.3=77-(-2)(6x+25)+8(75x-1) | | 6(n+6)+2n=8n+43 | | 4dx^3-2dy+6dx-by=0 | | -36+6v=-6(5-v)-6 | | -36+6v=6(5-v)-6 | | 9v+9=90 | | 8x-4=2+-7x | | 8-b=3(b+7)+7 | | 13x-3=-10 | | -7.5x+0.37=-2.63 |

Equations solver categories