(7x+11)(6x+3)=5

Simple and best practice solution for (7x+11)(6x+3)=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 (7x+11)(6x+3)=5 equation:


Simplifying
(7x + 11)(6x + 3) = 5

Reorder the terms:
(11 + 7x)(6x + 3) = 5

Reorder the terms:
(11 + 7x)(3 + 6x) = 5

Multiply (11 + 7x) * (3 + 6x)
(11(3 + 6x) + 7x * (3 + 6x)) = 5
((3 * 11 + 6x * 11) + 7x * (3 + 6x)) = 5
((33 + 66x) + 7x * (3 + 6x)) = 5
(33 + 66x + (3 * 7x + 6x * 7x)) = 5
(33 + 66x + (21x + 42x2)) = 5

Combine like terms: 66x + 21x = 87x
(33 + 87x + 42x2) = 5

Solving
33 + 87x + 42x2 = 5

Solving for variable 'x'.

Reorder the terms:
33 + -5 + 87x + 42x2 = 5 + -5

Combine like terms: 33 + -5 = 28
28 + 87x + 42x2 = 5 + -5

Combine like terms: 5 + -5 = 0
28 + 87x + 42x2 = 0

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

Divide each side by '42'.
0.6666666667 + 2.071428571x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 2.071428571x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 2.071428571x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 2.071428571x + x2 = 0 + -0.6666666667
2.071428571x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
2.071428571x + x2 = -0.6666666667

The x term is 2.071428571x.  Take half its coefficient (1.035714286).
Square it (1.072704082) and add it to both sides.

Add '1.072704082' to each side of the equation.
2.071428571x + 1.072704082 + x2 = -0.6666666667 + 1.072704082

Reorder the terms:
1.072704082 + 2.071428571x + x2 = -0.6666666667 + 1.072704082

Combine like terms: -0.6666666667 + 1.072704082 = 0.4060374153
1.072704082 + 2.071428571x + x2 = 0.4060374153

Factor a perfect square on the left side:
(x + 1.035714286)(x + 1.035714286) = 0.4060374153

Calculate the square root of the right side: 0.637210652

Break this problem into two subproblems by setting 
(x + 1.035714286) equal to 0.637210652 and -0.637210652.

Subproblem 1

x + 1.035714286 = 0.637210652 Simplifying x + 1.035714286 = 0.637210652 Reorder the terms: 1.035714286 + x = 0.637210652 Solving 1.035714286 + x = 0.637210652 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.035714286' to each side of the equation. 1.035714286 + -1.035714286 + x = 0.637210652 + -1.035714286 Combine like terms: 1.035714286 + -1.035714286 = 0.000000000 0.000000000 + x = 0.637210652 + -1.035714286 x = 0.637210652 + -1.035714286 Combine like terms: 0.637210652 + -1.035714286 = -0.398503634 x = -0.398503634 Simplifying x = -0.398503634

Subproblem 2

x + 1.035714286 = -0.637210652 Simplifying x + 1.035714286 = -0.637210652 Reorder the terms: 1.035714286 + x = -0.637210652 Solving 1.035714286 + x = -0.637210652 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.035714286' to each side of the equation. 1.035714286 + -1.035714286 + x = -0.637210652 + -1.035714286 Combine like terms: 1.035714286 + -1.035714286 = 0.000000000 0.000000000 + x = -0.637210652 + -1.035714286 x = -0.637210652 + -1.035714286 Combine like terms: -0.637210652 + -1.035714286 = -1.672924938 x = -1.672924938 Simplifying x = -1.672924938

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.398503634, -1.672924938}

See similar equations:

| 4w+9=5w-6 | | 2/5-1/6 | | (2x/3)-2=4 | | 7y-13-3y+8=0 | | -49+(-33)= | | Y^3+3y^3=36y+108 | | 2c^3+2c^2-24c=0 | | -10x^2-20x+80=0 | | 2(x+5)=3(2x-3) | | 10=2/9w | | 4(2m-1)=36 | | -0.6=x/1.2 | | -3=-3(3p-10)-5p | | 2(x+4)+2x=-6x | | 9.2x=7x | | -5(v-3)=-25 | | 3s-6st= | | 20=2+3[y+2] | | 64x+8-2y= | | 4c-6=2c+12 | | -37/19=k-56/19 | | 48=8(-2+r) | | -45=3(r-5) | | 11/4p=11 | | 8x+-5x+3=x+-7+10 | | p-1.5=-19.6 | | r-13=-19 | | 32x^2=3 | | 4-3x=4x+7 | | -4.1+a=-2.5 | | 8=-8+x | | Y=5x^3 |

Equations solver categories