(x^2+7x+k)(2x+5)=2x^3+19x^2+29x-15

Simple and best practice solution for (x^2+7x+k)(2x+5)=2x^3+19x^2+29x-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 (x^2+7x+k)(2x+5)=2x^3+19x^2+29x-15 equation: 


Simplifying
(x2 + 7x + k)(2x + 5) = 2x3 + 19x2 + 29x + -15

Reorder the terms:
(k + 7x + x2)(2x + 5) = 2x3 + 19x2 + 29x + -15

Reorder the terms:
(k + 7x + x2)(5 + 2x) = 2x3 + 19x2 + 29x + -15

Multiply (k + 7x + x2) * (5 + 2x)
(k(5 + 2x) + 7x * (5 + 2x) + x2(5 + 2x)) = 2x3 + 19x2 + 29x + -15
((5 * k + 2x * k) + 7x * (5 + 2x) + x2(5 + 2x)) = 2x3 + 19x2 + 29x + -15
((5k + 2kx) + 7x * (5 + 2x) + x2(5 + 2x)) = 2x3 + 19x2 + 29x + -15
(5k + 2kx + (5 * 7x + 2x * 7x) + x2(5 + 2x)) = 2x3 + 19x2 + 29x + -15
(5k + 2kx + (35x + 14x2) + x2(5 + 2x)) = 2x3 + 19x2 + 29x + -15
(5k + 2kx + 35x + 14x2 + (5 * x2 + 2x * x2)) = 2x3 + 19x2 + 29x + -15
(5k + 2kx + 35x + 14x2 + (5x2 + 2x3)) = 2x3 + 19x2 + 29x + -15

Combine like terms: 14x2 + 5x2 = 19x2
(5k + 2kx + 35x + 19x2 + 2x3) = 2x3 + 19x2 + 29x + -15

Reorder the terms:
5k + 2kx + 35x + 19x2 + 2x3 = -15 + 29x + 19x2 + 2x3

Add '-19x2' to each side of the equation.
5k + 2kx + 35x + 19x2 + -19x2 + 2x3 = -15 + 29x + 19x2 + -19x2 + 2x3

Combine like terms: 19x2 + -19x2 = 0
5k + 2kx + 35x + 0 + 2x3 = -15 + 29x + 19x2 + -19x2 + 2x3
5k + 2kx + 35x + 2x3 = -15 + 29x + 19x2 + -19x2 + 2x3

Combine like terms: 19x2 + -19x2 = 0
5k + 2kx + 35x + 2x3 = -15 + 29x + 0 + 2x3
5k + 2kx + 35x + 2x3 = -15 + 29x + 2x3

Add '-2x3' to each side of the equation.
5k + 2kx + 35x + 2x3 + -2x3 = -15 + 29x + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
5k + 2kx + 35x + 0 = -15 + 29x + 2x3 + -2x3
5k + 2kx + 35x = -15 + 29x + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
5k + 2kx + 35x = -15 + 29x + 0
5k + 2kx + 35x = -15 + 29x

Solving
5k + 2kx + 35x = -15 + 29x

Solving for variable 'k'.

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

Add '-35x' to each side of the equation.
5k + 2kx + 35x + -35x = -15 + 29x + -35x

Combine like terms: 35x + -35x = 0
5k + 2kx + 0 = -15 + 29x + -35x
5k + 2kx = -15 + 29x + -35x

Combine like terms: 29x + -35x = -6x
5k + 2kx = -15 + -6x

Reorder the terms:
15 + 5k + 2kx + 6x = -15 + -6x + 15 + 6x

Reorder the terms:
15 + 5k + 2kx + 6x = -15 + 15 + -6x + 6x

Combine like terms: -15 + 15 = 0
15 + 5k + 2kx + 6x = 0 + -6x + 6x
15 + 5k + 2kx + 6x = -6x + 6x

Combine like terms: -6x + 6x = 0
15 + 5k + 2kx + 6x = 0

The solution to this equation could not be determined.

See similar equations:

| 90x=60(10-x) | | x^2+14x-9=6 | | r^229-4r-5=0 | | 800/x=160 | | 3(5k-2)-2(k-2)= | | -6(1/6) | | -1+4(1+8v)=-93 | | 92x=68(8-x) | | b+5.12=-3.36 | | a(3x-8)=18x-b | | 73x+450=1180 | | -5(3w-3)+(1+15w)=0 | | 3r-10=0 | | 3x+2.7=6.3 | | 305x=180x+31875 | | a+4.7=2.29 | | 3x-6y=66 | | -.38-.29q=-.641 | | 30(x-3)=8000 | | g^2-10g+11=0 | | 42/3/21/2=x | | 5n+7+n=2(2n+1)+3n-2 | | 1/5(15j-25)=(12-15) | | 42/3/21/2= | | 2x-5/73 | | 46x=11x+18270 | | .17-1.69c=.9643 | | tan(2pi-x)=0 | | 3x^2+3z=0 | | u^2+21=10u^2+30 | | x+19=x*2-11 | | 7+4.1u=-17.6 |

Equations solver categories