[2x(-3-4x)-3(x-1)-3]=2x-1

Simple and best practice solution for [2x(-3-4x)-3(x-1)-3]=2x-1 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 [2x(-3-4x)-3(x-1)-3]=2x-1 equation:


Simplifying
[2x(-3 + -4x) + -3(x + -1) + -3] = 2x + -1
[(-3 * 2x + -4x * 2x) + -3(x + -1) + -3] = 2x + -1
[(-6x + -8x2) + -3(x + -1) + -3] = 2x + -1

Reorder the terms:
[-6x + -8x2 + -3(-1 + x) + -3] = 2x + -1
[-6x + -8x2 + (-1 * -3 + x * -3) + -3] = 2x + -1
[-6x + -8x2 + (3 + -3x) + -3] = 2x + -1

Reorder the terms:
[3 + -3 + -6x + -3x + -8x2] = 2x + -1

Combine like terms: 3 + -3 = 0
[0 + -6x + -3x + -8x2] = 2x + -1
[-6x + -3x + -8x2] = 2x + -1

Combine like terms: -6x + -3x = -9x
[-9x + -8x2] = 2x + -1

Remove brackets around [-9x + -8x2]
-9x + -8x2 = 2x + -1

Reorder the terms:
-9x + -8x2 = -1 + 2x

Solving
-9x + -8x2 = -1 + 2x

Solving for variable 'x'.

Reorder the terms:
1 + -9x + -2x + -8x2 = -1 + 2x + 1 + -2x

Combine like terms: -9x + -2x = -11x
1 + -11x + -8x2 = -1 + 2x + 1 + -2x

Reorder the terms:
1 + -11x + -8x2 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
1 + -11x + -8x2 = 0 + 2x + -2x
1 + -11x + -8x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -11x + -8x2 = 0

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

Divide each side by '-8'.
-0.125 + 1.375x + x2 = 0

Move the constant term to the right:

Add '0.125' to each side of the equation.
-0.125 + 1.375x + 0.125 + x2 = 0 + 0.125

Reorder the terms:
-0.125 + 0.125 + 1.375x + x2 = 0 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + 1.375x + x2 = 0 + 0.125
1.375x + x2 = 0 + 0.125

Combine like terms: 0 + 0.125 = 0.125
1.375x + x2 = 0.125

The x term is 1.375x.  Take half its coefficient (0.6875).
Square it (0.47265625) and add it to both sides.

Add '0.47265625' to each side of the equation.
1.375x + 0.47265625 + x2 = 0.125 + 0.47265625

Reorder the terms:
0.47265625 + 1.375x + x2 = 0.125 + 0.47265625

Combine like terms: 0.125 + 0.47265625 = 0.59765625
0.47265625 + 1.375x + x2 = 0.59765625

Factor a perfect square on the left side:
(x + 0.6875)(x + 0.6875) = 0.59765625

Calculate the square root of the right side: 0.773082305

Break this problem into two subproblems by setting 
(x + 0.6875) equal to 0.773082305 and -0.773082305.

Subproblem 1

x + 0.6875 = 0.773082305 Simplifying x + 0.6875 = 0.773082305 Reorder the terms: 0.6875 + x = 0.773082305 Solving 0.6875 + x = 0.773082305 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6875' to each side of the equation. 0.6875 + -0.6875 + x = 0.773082305 + -0.6875 Combine like terms: 0.6875 + -0.6875 = 0.0000 0.0000 + x = 0.773082305 + -0.6875 x = 0.773082305 + -0.6875 Combine like terms: 0.773082305 + -0.6875 = 0.085582305 x = 0.085582305 Simplifying x = 0.085582305

Subproblem 2

x + 0.6875 = -0.773082305 Simplifying x + 0.6875 = -0.773082305 Reorder the terms: 0.6875 + x = -0.773082305 Solving 0.6875 + x = -0.773082305 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6875' to each side of the equation. 0.6875 + -0.6875 + x = -0.773082305 + -0.6875 Combine like terms: 0.6875 + -0.6875 = 0.0000 0.0000 + x = -0.773082305 + -0.6875 x = -0.773082305 + -0.6875 Combine like terms: -0.773082305 + -0.6875 = -1.460582305 x = -1.460582305 Simplifying x = -1.460582305

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.085582305, -1.460582305}

See similar equations:

| 32x^2-192x=11 | | 12(x)-12(3)=10 | | 2x^2-10=-36 | | 2.5(x+8)=14.6+1.9x | | 6-2(x-5)=14 | | X/11=44 | | 5/x^2-x-6 | | 3(2x-5)-3x-9=3-2x | | 45-3x=fx | | (5a-2)3-5a-2=3a-1 | | -3x^2+5x=-12 | | 54y^3-127=0 | | 2a-6+a+3a= | | 3c+3c-4c-12c= | | 7x-9=5x-1 | | 8f-2f=-22 | | (2x+12)(x-7)=528 | | ln2/ln1.5 | | b/7=-10/7 | | 5p-9p+3= | | Y-1=5/6(x-2) | | (4x-1)+(11x+1)= | | 18+2n=4n-6 | | -6r+8r+2-3= | | 10j+2-7j= | | -3+1f=13 | | =y+11x-7x+7y | | 6-1x=2x | | 7/8÷9/10 | | 19=-16t^2+30t | | 2500=3x-(.35x+300) | | 3x-2=7x-9 |

Equations solver categories