8x(x+1)=5-2(8x+6)

Simple and best practice solution for 8x(x+1)=5-2(8x+6) 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 8x(x+1)=5-2(8x+6) equation:


Simplifying
8x(x + 1) = 5 + -2(8x + 6)

Reorder the terms:
8x(1 + x) = 5 + -2(8x + 6)
(1 * 8x + x * 8x) = 5 + -2(8x + 6)
(8x + 8x2) = 5 + -2(8x + 6)

Reorder the terms:
8x + 8x2 = 5 + -2(6 + 8x)
8x + 8x2 = 5 + (6 * -2 + 8x * -2)
8x + 8x2 = 5 + (-12 + -16x)

Combine like terms: 5 + -12 = -7
8x + 8x2 = -7 + -16x

Solving
8x + 8x2 = -7 + -16x

Solving for variable 'x'.

Reorder the terms:
7 + 8x + 16x + 8x2 = -7 + -16x + 7 + 16x

Combine like terms: 8x + 16x = 24x
7 + 24x + 8x2 = -7 + -16x + 7 + 16x

Reorder the terms:
7 + 24x + 8x2 = -7 + 7 + -16x + 16x

Combine like terms: -7 + 7 = 0
7 + 24x + 8x2 = 0 + -16x + 16x
7 + 24x + 8x2 = -16x + 16x

Combine like terms: -16x + 16x = 0
7 + 24x + 8x2 = 0

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

Divide each side by '8'.
0.875 + 3x + x2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + 3x + -0.875 + x2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + 3x + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + 3x + x2 = 0 + -0.875
3x + x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
3x + x2 = -0.875

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -0.875 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -0.875 + 2.25

Combine like terms: -0.875 + 2.25 = 1.375
2.25 + 3x + x2 = 1.375

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 1.375

Calculate the square root of the right side: 1.17260394

Break this problem into two subproblems by setting 
(x + 1.5) equal to 1.17260394 and -1.17260394.

Subproblem 1

x + 1.5 = 1.17260394 Simplifying x + 1.5 = 1.17260394 Reorder the terms: 1.5 + x = 1.17260394 Solving 1.5 + x = 1.17260394 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 1.17260394 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 1.17260394 + -1.5 x = 1.17260394 + -1.5 Combine like terms: 1.17260394 + -1.5 = -0.32739606 x = -0.32739606 Simplifying x = -0.32739606

Subproblem 2

x + 1.5 = -1.17260394 Simplifying x + 1.5 = -1.17260394 Reorder the terms: 1.5 + x = -1.17260394 Solving 1.5 + x = -1.17260394 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -1.17260394 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -1.17260394 + -1.5 x = -1.17260394 + -1.5 Combine like terms: -1.17260394 + -1.5 = -2.67260394 x = -2.67260394 Simplifying x = -2.67260394

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.32739606, -2.67260394}

See similar equations:

| (a^3-2a^2)+(3a^2-4a^3)= | | (11x+37)+(5x+59)=54 | | 22=2x+24 | | 20/9-2x=-7/3x+1 | | -x^3+3x^2+15x+45=0 | | 20*9/5+32= | | 3(x+7)=2(x-2)-5x | | 9x-3+5x=3x+5-5x | | X+7(x-2)=3 | | 2/5x-4=7/5x | | 7x-(9x+8)=7x-17 | | Y=2x-96 | | 3+3(2x-1)=-14+4x | | F(x)=2x-96 | | 20x-10+5x=35 | | 4-3.1=y | | -3-7(r+0.9)= | | 1.75=k-.75 | | 2x-16+4x-8=60 | | 42/3=4-1/3 | | -2(7+5n)=28+4n | | 54/3= | | 6x^2=5x-6 | | 30x+6y=-12 | | 7x+2=6(x-3)+5 | | -5x+4=11 | | 6x-15-2x-4=6-4x+5 | | 6x+3=23+2x | | 3(r-10s)-4(7s+2r)= | | 4x+8.25=8.5x-1.5x-3.75 | | q-.5=1.5 | | 6-7y=4-8y |

Equations solver categories