-5-8x(1+7x)=-8

Simple and best practice solution for -5-8x(1+7x)=-8 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 -5-8x(1+7x)=-8 equation:


Simplifying
-5 + -8x(1 + 7x) = -8
-5 + (1 * -8x + 7x * -8x) = -8
-5 + (-8x + -56x2) = -8

Solving
-5 + -8x + -56x2 = -8

Solving for variable 'x'.

Reorder the terms:
-5 + 8 + -8x + -56x2 = -8 + 8

Combine like terms: -5 + 8 = 3
3 + -8x + -56x2 = -8 + 8

Combine like terms: -8 + 8 = 0
3 + -8x + -56x2 = 0

Begin completing the square.  Divide all terms by
-56 the coefficient of the squared term: 

Divide each side by '-56'.
-0.05357142857 + 0.1428571429x + x2 = 0

Move the constant term to the right:

Add '0.05357142857' to each side of the equation.
-0.05357142857 + 0.1428571429x + 0.05357142857 + x2 = 0 + 0.05357142857

Reorder the terms:
-0.05357142857 + 0.05357142857 + 0.1428571429x + x2 = 0 + 0.05357142857

Combine like terms: -0.05357142857 + 0.05357142857 = 0.00000000000
0.00000000000 + 0.1428571429x + x2 = 0 + 0.05357142857
0.1428571429x + x2 = 0 + 0.05357142857

Combine like terms: 0 + 0.05357142857 = 0.05357142857
0.1428571429x + x2 = 0.05357142857

The x term is 0.1428571429x.  Take half its coefficient (0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
0.1428571429x + 0.005102040819 + x2 = 0.05357142857 + 0.005102040819

Reorder the terms:
0.005102040819 + 0.1428571429x + x2 = 0.05357142857 + 0.005102040819

Combine like terms: 0.05357142857 + 0.005102040819 = 0.058673469389
0.005102040819 + 0.1428571429x + x2 = 0.058673469389

Factor a perfect square on the left side:
(x + 0.07142857145)(x + 0.07142857145) = 0.058673469389

Calculate the square root of the right side: 0.242226071

Break this problem into two subproblems by setting 
(x + 0.07142857145) equal to 0.242226071 and -0.242226071.

Subproblem 1

x + 0.07142857145 = 0.242226071 Simplifying x + 0.07142857145 = 0.242226071 Reorder the terms: 0.07142857145 + x = 0.242226071 Solving 0.07142857145 + x = 0.242226071 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07142857145' to each side of the equation. 0.07142857145 + -0.07142857145 + x = 0.242226071 + -0.07142857145 Combine like terms: 0.07142857145 + -0.07142857145 = 0.00000000000 0.00000000000 + x = 0.242226071 + -0.07142857145 x = 0.242226071 + -0.07142857145 Combine like terms: 0.242226071 + -0.07142857145 = 0.17079749955 x = 0.17079749955 Simplifying x = 0.17079749955

Subproblem 2

x + 0.07142857145 = -0.242226071 Simplifying x + 0.07142857145 = -0.242226071 Reorder the terms: 0.07142857145 + x = -0.242226071 Solving 0.07142857145 + x = -0.242226071 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07142857145' to each side of the equation. 0.07142857145 + -0.07142857145 + x = -0.242226071 + -0.07142857145 Combine like terms: 0.07142857145 + -0.07142857145 = 0.00000000000 0.00000000000 + x = -0.242226071 + -0.07142857145 x = -0.242226071 + -0.07142857145 Combine like terms: -0.242226071 + -0.07142857145 = -0.31365464245 x = -0.31365464245 Simplifying x = -0.31365464245

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.17079749955, -0.31365464245}

See similar equations:

| 2w+4=24 | | 8a^2-6a+5=0 | | 8h-5=11g-4 | | 2.3(x-1.4)=-9.66 | | 30=-5(6x+6) | | x+3(3)=x+15 | | 2w+2(2w+4)=24 | | 9-1y=0 | | X+(x+8)=48 | | -120+5.50x=182.50 | | -120+5.50x=45 | | -120+5.50x=12 | | 4z+18=3z+9 | | -7(4+r)=21 | | 2(x+1)=-14 | | 9y-8=28 | | 3p-5p-10=-6 | | 3(3x-3)+8=9x-1 | | 4x-4+2x=-28 | | w^2=5w | | 3x+1=3(x-1) | | 5w^2=5w | | 5(x-2)=3(x+2) | | 4=76-9y | | 6y+2=6 | | 6x+22=15x-59 | | -4y+4=-2(4y+10) | | 9+2=5b | | (7y+7)-(3+6y)=10 | | 9=15-3y | | 3(x+8)=60 | | 36x^2-12x+1=18 |

Equations solver categories