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

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


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

Reorder the terms:
(6 + x)(x + -2) = (2x + 7)(x + -2)

Reorder the terms:
(6 + x)(-2 + x) = (2x + 7)(x + -2)

Multiply (6 + x) * (-2 + x)
(6(-2 + x) + x(-2 + x)) = (2x + 7)(x + -2)
((-2 * 6 + x * 6) + x(-2 + x)) = (2x + 7)(x + -2)
((-12 + 6x) + x(-2 + x)) = (2x + 7)(x + -2)
(-12 + 6x + (-2 * x + x * x)) = (2x + 7)(x + -2)
(-12 + 6x + (-2x + x2)) = (2x + 7)(x + -2)

Combine like terms: 6x + -2x = 4x
(-12 + 4x + x2) = (2x + 7)(x + -2)

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

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

Multiply (7 + 2x) * (-2 + x)
-12 + 4x + x2 = (7(-2 + x) + 2x * (-2 + x))
-12 + 4x + x2 = ((-2 * 7 + x * 7) + 2x * (-2 + x))
-12 + 4x + x2 = ((-14 + 7x) + 2x * (-2 + x))
-12 + 4x + x2 = (-14 + 7x + (-2 * 2x + x * 2x))
-12 + 4x + x2 = (-14 + 7x + (-4x + 2x2))

Combine like terms: 7x + -4x = 3x
-12 + 4x + x2 = (-14 + 3x + 2x2)

Solving
-12 + 4x + x2 = -14 + 3x + 2x2

Solving for variable 'x'.

Reorder the terms:
-12 + 14 + 4x + -3x + x2 + -2x2 = -14 + 3x + 2x2 + 14 + -3x + -2x2

Combine like terms: -12 + 14 = 2
2 + 4x + -3x + x2 + -2x2 = -14 + 3x + 2x2 + 14 + -3x + -2x2

Combine like terms: 4x + -3x = 1x
2 + 1x + x2 + -2x2 = -14 + 3x + 2x2 + 14 + -3x + -2x2

Combine like terms: x2 + -2x2 = -1x2
2 + 1x + -1x2 = -14 + 3x + 2x2 + 14 + -3x + -2x2

Reorder the terms:
2 + 1x + -1x2 = -14 + 14 + 3x + -3x + 2x2 + -2x2

Combine like terms: -14 + 14 = 0
2 + 1x + -1x2 = 0 + 3x + -3x + 2x2 + -2x2
2 + 1x + -1x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
2 + 1x + -1x2 = 0 + 2x2 + -2x2
2 + 1x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + 1x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(1 + x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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 = {2, -1}

See similar equations:

| 9x+50=12x+8 | | Ln(24x-9)=Ln(12) | | 2x+4x=340 | | X+(12)=3 | | -11+10(z+10)=4-5(2z+11) | | 8d-16+5d=25-31d+15 | | -12(y-12)=-9(1+7y) | | 15x^2-2x-6=0 | | 12x+10y=7 | | -6d+12+2d=8 | | 5(3-6x-7x)+6(9x+6)=7 | | 4(x-2)+4y=12x | | 3(6t+1)-6=t-(t+2) | | x=88-4y | | 4x+6y+5=0 | | -4y=6+3x | | 9y+2-3(-2y-2)=3(y-2) | | (x-3y)(x-3y)(x-3y)(x-3y)(x-3y)(x-3y)(x-3y)(x-3y)(x-3y)(x-3y)= | | 9999990+999999= | | x=p^2-2p+1000 | | 2x+3y-4z=4 | | (5x+y)(5x+y)(5x+y)(5x+y)(5x+y)= | | 0=-4T^2+3T+375 | | ln(x+6)+ln(x)=2ln(4) | | (3x+y)(3x+y)(3x+y)(3x+y)(3x+y)(3x+y)(3x+y)= | | 9y+2-3(-2y-2)= | | 3m^2-16-2=-7 | | X=x^2-8x+3 | | (F)x=x^2-8x+3 | | 7=3(x-3)-(x-6) | | 41x=-27-5 | | Volume=3.14r(10) |

Equations solver categories