(4x-5)2+3(10x-4)+2=(2x+2)2-3x(2x+4)+51

Simple and best practice solution for (4x-5)2+3(10x-4)+2=(2x+2)2-3x(2x+4)+51 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 (4x-5)2+3(10x-4)+2=(2x+2)2-3x(2x+4)+51 equation: 


Simplifying
(4x + -5) * 2 + 3(10x + -4) + 2 = (2x + 2) * 2 + -3x(2x + 4) + 51

Reorder the terms:
(-5 + 4x) * 2 + 3(10x + -4) + 2 = (2x + 2) * 2 + -3x(2x + 4) + 51

Reorder the terms for easier multiplication:
2(-5 + 4x) + 3(10x + -4) + 2 = (2x + 2) * 2 + -3x(2x + 4) + 51
(-5 * 2 + 4x * 2) + 3(10x + -4) + 2 = (2x + 2) * 2 + -3x(2x + 4) + 51
(-10 + 8x) + 3(10x + -4) + 2 = (2x + 2) * 2 + -3x(2x + 4) + 51

Reorder the terms:
-10 + 8x + 3(-4 + 10x) + 2 = (2x + 2) * 2 + -3x(2x + 4) + 51
-10 + 8x + (-4 * 3 + 10x * 3) + 2 = (2x + 2) * 2 + -3x(2x + 4) + 51
-10 + 8x + (-12 + 30x) + 2 = (2x + 2) * 2 + -3x(2x + 4) + 51

Reorder the terms:
-10 + -12 + 2 + 8x + 30x = (2x + 2) * 2 + -3x(2x + 4) + 51

Combine like terms: -10 + -12 = -22
-22 + 2 + 8x + 30x = (2x + 2) * 2 + -3x(2x + 4) + 51

Combine like terms: -22 + 2 = -20
-20 + 8x + 30x = (2x + 2) * 2 + -3x(2x + 4) + 51

Combine like terms: 8x + 30x = 38x
-20 + 38x = (2x + 2) * 2 + -3x(2x + 4) + 51

Reorder the terms:
-20 + 38x = (2 + 2x) * 2 + -3x(2x + 4) + 51

Reorder the terms for easier multiplication:
-20 + 38x = 2(2 + 2x) + -3x(2x + 4) + 51
-20 + 38x = (2 * 2 + 2x * 2) + -3x(2x + 4) + 51
-20 + 38x = (4 + 4x) + -3x(2x + 4) + 51

Reorder the terms:
-20 + 38x = 4 + 4x + -3x(4 + 2x) + 51
-20 + 38x = 4 + 4x + (4 * -3x + 2x * -3x) + 51
-20 + 38x = 4 + 4x + (-12x + -6x2) + 51

Reorder the terms:
-20 + 38x = 4 + 51 + 4x + -12x + -6x2

Combine like terms: 4 + 51 = 55
-20 + 38x = 55 + 4x + -12x + -6x2

Combine like terms: 4x + -12x = -8x
-20 + 38x = 55 + -8x + -6x2

Solving
-20 + 38x = 55 + -8x + -6x2

Solving for variable 'x'.

Reorder the terms:
-20 + -55 + 38x + 8x + 6x2 = 55 + -8x + -6x2 + -55 + 8x + 6x2

Combine like terms: -20 + -55 = -75
-75 + 38x + 8x + 6x2 = 55 + -8x + -6x2 + -55 + 8x + 6x2

Combine like terms: 38x + 8x = 46x
-75 + 46x + 6x2 = 55 + -8x + -6x2 + -55 + 8x + 6x2

Reorder the terms:
-75 + 46x + 6x2 = 55 + -55 + -8x + 8x + -6x2 + 6x2

Combine like terms: 55 + -55 = 0
-75 + 46x + 6x2 = 0 + -8x + 8x + -6x2 + 6x2
-75 + 46x + 6x2 = -8x + 8x + -6x2 + 6x2

Combine like terms: -8x + 8x = 0
-75 + 46x + 6x2 = 0 + -6x2 + 6x2
-75 + 46x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
-75 + 46x + 6x2 = 0

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

Divide each side by '6'.
-12.5 + 7.666666667x + x2 = 0

Move the constant term to the right:

Add '12.5' to each side of the equation.
-12.5 + 7.666666667x + 12.5 + x2 = 0 + 12.5

Reorder the terms:
-12.5 + 12.5 + 7.666666667x + x2 = 0 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + 7.666666667x + x2 = 0 + 12.5
7.666666667x + x2 = 0 + 12.5

Combine like terms: 0 + 12.5 = 12.5
7.666666667x + x2 = 12.5

The x term is 7.666666667x.  Take half its coefficient (3.833333334).
Square it (14.69444445) and add it to both sides.

Add '14.69444445' to each side of the equation.
7.666666667x + 14.69444445 + x2 = 12.5 + 14.69444445

Reorder the terms:
14.69444445 + 7.666666667x + x2 = 12.5 + 14.69444445

Combine like terms: 12.5 + 14.69444445 = 27.19444445
14.69444445 + 7.666666667x + x2 = 27.19444445

Factor a perfect square on the left side:
(x + 3.833333334)(x + 3.833333334) = 27.19444445

Calculate the square root of the right side: 5.214829283

Break this problem into two subproblems by setting 
(x + 3.833333334) equal to 5.214829283 and -5.214829283.


Subproblem 1
x + 3.833333334 = 5.214829283

Simplifying
x + 3.833333334 = 5.214829283

Reorder the terms:
3.833333334 + x = 5.214829283

Solving
3.833333334 + x = 5.214829283

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3.833333334' to each side of the equation.
3.833333334 + -3.833333334 + x = 5.214829283 + -3.833333334

Combine like terms: 3.833333334 + -3.833333334 = 0.000000000
0.000000000 + x = 5.214829283 + -3.833333334
x = 5.214829283 + -3.833333334

Combine like terms: 5.214829283 + -3.833333334 = 1.381495949
x = 1.381495949

Simplifying
x = 1.381495949


Subproblem 2
x + 3.833333334 = -5.214829283

Simplifying
x + 3.833333334 = -5.214829283

Reorder the terms:
3.833333334 + x = -5.214829283

Solving
3.833333334 + x = -5.214829283

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3.833333334' to each side of the equation.
3.833333334 + -3.833333334 + x = -5.214829283 + -3.833333334

Combine like terms: 3.833333334 + -3.833333334 = 0.000000000
0.000000000 + x = -5.214829283 + -3.833333334
x = -5.214829283 + -3.833333334

Combine like terms: -5.214829283 + -3.833333334 = -9.048162617
x = -9.048162617

Simplifying
x = -9.048162617


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.381495949, -9.048162617}

See similar equations:

| 8x-16-5x+20=20+x | | X(37+8.50)+14.99=242.49 | | -2x=-2x+5 | | 6+4x=7x+9x+4 | | -6+2x=3x | | 8-5v^2=-47 | | c-5=-18 | | 3-4m=8m-21 | | -2x=-2k+5 | | 4(x-2)5=x-3 | | 5(20x+100)=1500 | | z^2+5z+20=3(x+1) | | -4=3x-8 | | -2x-4(-3x+10)=60 | | 2x=y^2 | | -11x^2+12x-6=0 | | 5a-3d+2d=35 | | 15x-21=-66 | | (3x^3+8x)-2(x^3+12)= | | 50x^2-242=0 | | 2s+3(s+4)=17 | | 2(25x^2-121)=0 | | m+4n-5p=0 | | -21.6*9x= | | 7x-6(-6x+14)=182 | | 2x=12+4y | | 80*x=200 | | 20x^2+85x+20= | | 3(x+2)-(x-4)=0 | | x+(x-5)=102 | | -5x+7(3x+2)=-66 | | 4x-13=39 |

Equations solver categories