7(8x+5)x=2

Simple and best practice solution for 7(8x+5)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 7(8x+5)x=2 equation:


Simplifying
7(8x + 5) * x = 2

Reorder the terms:
7(5 + 8x) * x = 2

Reorder the terms for easier multiplication:
7x(5 + 8x) = 2
(5 * 7x + 8x * 7x) = 2
(35x + 56x2) = 2

Solving
35x + 56x2 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + 35x + 56x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 35x + 56x2 = 0

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

Divide each side by '56'.
-0.03571428571 + 0.625x + x2 = 0

Move the constant term to the right:

Add '0.03571428571' to each side of the equation.
-0.03571428571 + 0.625x + 0.03571428571 + x2 = 0 + 0.03571428571

Reorder the terms:
-0.03571428571 + 0.03571428571 + 0.625x + x2 = 0 + 0.03571428571

Combine like terms: -0.03571428571 + 0.03571428571 = 0.00000000000
0.00000000000 + 0.625x + x2 = 0 + 0.03571428571
0.625x + x2 = 0 + 0.03571428571

Combine like terms: 0 + 0.03571428571 = 0.03571428571
0.625x + x2 = 0.03571428571

The x term is 0.625x.  Take half its coefficient (0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
0.625x + 0.09765625 + x2 = 0.03571428571 + 0.09765625

Reorder the terms:
0.09765625 + 0.625x + x2 = 0.03571428571 + 0.09765625

Combine like terms: 0.03571428571 + 0.09765625 = 0.13337053571
0.09765625 + 0.625x + x2 = 0.13337053571

Factor a perfect square on the left side:
(x + 0.3125)(x + 0.3125) = 0.13337053571

Calculate the square root of the right side: 0.36519931

Break this problem into two subproblems by setting 
(x + 0.3125) equal to 0.36519931 and -0.36519931.

Subproblem 1

x + 0.3125 = 0.36519931 Simplifying x + 0.3125 = 0.36519931 Reorder the terms: 0.3125 + x = 0.36519931 Solving 0.3125 + x = 0.36519931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3125' to each side of the equation. 0.3125 + -0.3125 + x = 0.36519931 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + x = 0.36519931 + -0.3125 x = 0.36519931 + -0.3125 Combine like terms: 0.36519931 + -0.3125 = 0.05269931 x = 0.05269931 Simplifying x = 0.05269931

Subproblem 2

x + 0.3125 = -0.36519931 Simplifying x + 0.3125 = -0.36519931 Reorder the terms: 0.3125 + x = -0.36519931 Solving 0.3125 + x = -0.36519931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3125' to each side of the equation. 0.3125 + -0.3125 + x = -0.36519931 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + x = -0.36519931 + -0.3125 x = -0.36519931 + -0.3125 Combine like terms: -0.36519931 + -0.3125 = -0.67769931 x = -0.67769931 Simplifying x = -0.67769931

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.05269931, -0.67769931}

See similar equations:

| 4x-(4x+5)+5=0 | | x+0.5x^2=250 | | 3x-54=15 | | 4/3*3.1416*343 | | X^2+4x-2+8=0 | | 8K+2=5K+5 | | 6-3ab= | | -4x+8=38 | | 8k+22=5k-5 | | 15B-12B=6 | | Z=(x-7)k | | 4.99+0.35p=6.04 | | 8h-5=22-hanswer | | X^5-82x=0 | | 7(x+1)+13x=-33 | | 10x+4y=-40 | | 3x+y=166 | | 2x+5-(4x+3)=3x-5x+3+4 | | 99x^2-2x-16=0 | | 2b+4=42 | | 3x+50=290 | | 4x+1.5=2x+10.5 | | 12x+-1=0 | | Cos(x-10)=sin(4x) | | 45+1.99n=68.88 | | 2x(x-3)(4x+1)=0 | | -5(2y-7)= | | 7(x-1)=5(x-2) | | e^2x-6x^2=0 | | 4+2.50n=21.50 | | 2x-14-(x-9)=10 | | F(-2)=5n^2+4n |

Equations solver categories