1(6x+7)=(x+2)(x+2)

Simple and best practice solution for 1(6x+7)=(x+2)(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 1(6x+7)=(x+2)(x+2) equation: 


Simplifying
1(6x + 7) = (x + 2)(x + 2)

Reorder the terms:
1(7 + 6x) = (x + 2)(x + 2)
(7 * 1 + 6x * 1) = (x + 2)(x + 2)
(7 + 6x) = (x + 2)(x + 2)

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

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

Multiply (2 + x) * (2 + x)
7 + 6x = (2(2 + x) + x(2 + x))
7 + 6x = ((2 * 2 + x * 2) + x(2 + x))
7 + 6x = ((4 + 2x) + x(2 + x))
7 + 6x = (4 + 2x + (2 * x + x * x))
7 + 6x = (4 + 2x + (2x + x2))

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

Solving
7 + 6x = 4 + 4x + x2

Solving for variable 'x'.

Reorder the terms:
7 + -4 + 6x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Combine like terms: 7 + -4 = 3
3 + 6x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Combine like terms: 6x + -4x = 2x
3 + 2x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Reorder the terms:
3 + 2x + -1x2 = 4 + -4 + 4x + -4x + x2 + -1x2

Combine like terms: 4 + -4 = 0
3 + 2x + -1x2 = 0 + 4x + -4x + x2 + -1x2
3 + 2x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
3 + 2x + -1x2 = 0 + x2 + -1x2
3 + 2x + -1x2 = x2 + -1x2

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

Factor a trinomial.
(3 + -1x)(1 + x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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 = {3, -1}

See similar equations:

| 1(6x+7)=4x+4 | | 7.3Y-5.5=-51.9 | | m+6m-m-7= | | x=256+-0.75*32 | | x=256+-0.75*12 | | 4xsquared+4x+1=49 | | 12-4x=-0 | | 4x+3y=1024 | | -(6a+5)-4(a-8)= | | 15=2(x+4) | | 9x+2=5x+12 | | lnx+0.5=0 | | x+.07x=8.59 | | .770=((1-x)*(2-x)) | | 17x-49=259 | | .770=(1-x*2-x) | | 8x+40=150 | | 3x+12=2x^2-2 | | log(2x-4)= | | 3x^2-kx+h=0 | | (5w+3z)+(w-z)= | | 2(x+5)=4x+4-2x+6 | | -5x^4+40x^3=0 | | Y=x^2-2x+p | | x+x+x+1+1=x+1+5 | | 0.7(x+300)=0.78x-390 | | 0.3(2z+6)+19.2=0.6(2z-5) | | 16+7y=2y+31 | | 144/6(x^3) | | 9+x=50 | | x+yi=-2-3i | | 28/14-y-28/14=7/14 |

Equations solver categories