(3x+7)(3x+7)=3x+5

Simple and best practice solution for (3x+7)(3x+7)=3x+5 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 (3x+7)(3x+7)=3x+5 equation: 


Simplifying
(3x + 7)(3x + 7) = 3x + 5

Reorder the terms:
(7 + 3x)(3x + 7) = 3x + 5

Reorder the terms:
(7 + 3x)(7 + 3x) = 3x + 5

Multiply (7 + 3x) * (7 + 3x)
(7(7 + 3x) + 3x * (7 + 3x)) = 3x + 5
((7 * 7 + 3x * 7) + 3x * (7 + 3x)) = 3x + 5
((49 + 21x) + 3x * (7 + 3x)) = 3x + 5
(49 + 21x + (7 * 3x + 3x * 3x)) = 3x + 5
(49 + 21x + (21x + 9x2)) = 3x + 5

Combine like terms: 21x + 21x = 42x
(49 + 42x + 9x2) = 3x + 5

Reorder the terms:
49 + 42x + 9x2 = 5 + 3x

Solving
49 + 42x + 9x2 = 5 + 3x

Solving for variable 'x'.

Reorder the terms:
49 + -5 + 42x + -3x + 9x2 = 5 + 3x + -5 + -3x

Combine like terms: 49 + -5 = 44
44 + 42x + -3x + 9x2 = 5 + 3x + -5 + -3x

Combine like terms: 42x + -3x = 39x
44 + 39x + 9x2 = 5 + 3x + -5 + -3x

Reorder the terms:
44 + 39x + 9x2 = 5 + -5 + 3x + -3x

Combine like terms: 5 + -5 = 0
44 + 39x + 9x2 = 0 + 3x + -3x
44 + 39x + 9x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
44 + 39x + 9x2 = 0

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
4.888888889 + 4.333333333x + x2 = 0

Move the constant term to the right:

Add '-4.888888889' to each side of the equation.
4.888888889 + 4.333333333x + -4.888888889 + x2 = 0 + -4.888888889

Reorder the terms:
4.888888889 + -4.888888889 + 4.333333333x + x2 = 0 + -4.888888889

Combine like terms: 4.888888889 + -4.888888889 = 0.000000000
0.000000000 + 4.333333333x + x2 = 0 + -4.888888889
4.333333333x + x2 = 0 + -4.888888889

Combine like terms: 0 + -4.888888889 = -4.888888889
4.333333333x + x2 = -4.888888889

The x term is 4.333333333x.  Take half its coefficient (2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
4.333333333x + 4.694444446 + x2 = -4.888888889 + 4.694444446

Reorder the terms:
4.694444446 + 4.333333333x + x2 = -4.888888889 + 4.694444446

Combine like terms: -4.888888889 + 4.694444446 = -0.194444443
4.694444446 + 4.333333333x + x2 = -0.194444443

Factor a perfect square on the left side:
(x + 2.166666667)(x + 2.166666667) = -0.194444443

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 40x^2= | | 7ln(x+3)=-4 | | x+x*.30=128 | | 4-6/w=8 | | 5(x-9)=-30 | | -5x^2+40x-59=-3x^2+26x-35 | | 40x^2+32x= | | -6(v-6)=-3v+27 | | -7(5x-2)+3=-35x+17 | | 6y-41=3y+16 | | -2p+-6=12-4p | | 3a(a+4)-2+7= | | 5(x-9)=-50 | | -5x^2+40x-59=-3x^2+26 | | 15x-x=-22 | | Log(7)(x)+log(7)(4)=2 | | 1/5(3.8)= | | X^2+12+c=0 | | 82=6n+16 | | a+b=206 | | 3/2(3.8)= | | 12÷3/5= | | 4ln(1+x)=1.5 | | 96=8(c+1) | | 5(x-9)=25 | | -5x^2+40x-59=3x^2+26x-35 | | 12÷3/5=? | | 4(w-94)=12 | | F(x)=-9x+11 | | Logx+log(2x-1)=1 | | 5(x-9)=-40 | | 13-5y=-88 |

Equations solver categories