2x(x+6)=x(x+4)-7

Simple and best practice solution for 2x(x+6)=x(x+4)-7 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 2x(x+6)=x(x+4)-7 equation: 


Simplifying
2x(x + 6) = x(x + 4) + -7

Reorder the terms:
2x(6 + x) = x(x + 4) + -7
(6 * 2x + x * 2x) = x(x + 4) + -7
(12x + 2x2) = x(x + 4) + -7

Reorder the terms:
12x + 2x2 = x(4 + x) + -7
12x + 2x2 = (4 * x + x * x) + -7
12x + 2x2 = (4x + x2) + -7

Reorder the terms:
12x + 2x2 = -7 + 4x + x2

Solving
12x + 2x2 = -7 + 4x + x2

Solving for variable 'x'.

Reorder the terms:
7 + 12x + -4x + 2x2 + -1x2 = -7 + 4x + x2 + 7 + -4x + -1x2

Combine like terms: 12x + -4x = 8x
7 + 8x + 2x2 + -1x2 = -7 + 4x + x2 + 7 + -4x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
7 + 8x + 1x2 = -7 + 4x + x2 + 7 + -4x + -1x2

Reorder the terms:
7 + 8x + 1x2 = -7 + 7 + 4x + -4x + x2 + -1x2

Combine like terms: -7 + 7 = 0
7 + 8x + 1x2 = 0 + 4x + -4x + x2 + -1x2
7 + 8x + 1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
7 + 8x + 1x2 = 0 + x2 + -1x2
7 + 8x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7 + 8x + 1x2 = 0

Factor a trinomial.
(7 + x)(1 + x) = 0


Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-7, -1}

See similar equations:

| 49u^2+42u+9= | | 3(x+3.28)=2x | | 6x-5+8-6=8x+6x+11 | | 21x^2=55x+14 | | 6x+8.18=3x+14 | | factorisez^2+20z-121=0 | | 6n^2=-10n-2 | | sqrt(8u^5x)sqrt(2u^3x^8)= | | (a+6)(a-9)=-6a | | (a+6)(a-9)=-6a | | -3.2x+1.1=-14.9 | | solvez^2+20z-121=0 | | m+6-2m+3m=4m-24+16 | | 0.5625L-1.125=0.375L | | 16x-3y=8 | | -16t^2-5t+500=d | | (7x-6)(x-2)=0 | | 4y^3-2y^2-30y=0 | | -7-5=3x+2-2x | | 4x^3+18x^2+18x=0 | | x-5=-3+4 | | n=-11+25 | | 4x-64x^3=0 | | -11q=-69.3-1.1q | | 5x^2+5x-13=29-24x | | 13x+28=5x+228 | | 5x+5x-13=29-24x | | y=x^3+4x^2+4x | | 6p^2-p-2=0 | | 9y^2-24y+15=0 | | 8y-5=13y+40 | | 6-8x=57-29x |

Equations solver categories