8x-2x(x-9)=2(x-5)+1

Simple and best practice solution for 8x-2x(x-9)=2(x-5)+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 8x-2x(x-9)=2(x-5)+1 equation:


Simplifying
8x + -2x(x + -9) = 2(x + -5) + 1

Reorder the terms:
8x + -2x(-9 + x) = 2(x + -5) + 1
8x + (-9 * -2x + x * -2x) = 2(x + -5) + 1
8x + (18x + -2x2) = 2(x + -5) + 1

Combine like terms: 8x + 18x = 26x
26x + -2x2 = 2(x + -5) + 1

Reorder the terms:
26x + -2x2 = 2(-5 + x) + 1
26x + -2x2 = (-5 * 2 + x * 2) + 1
26x + -2x2 = (-10 + 2x) + 1

Reorder the terms:
26x + -2x2 = -10 + 1 + 2x

Combine like terms: -10 + 1 = -9
26x + -2x2 = -9 + 2x

Solving
26x + -2x2 = -9 + 2x

Solving for variable 'x'.

Reorder the terms:
9 + 26x + -2x + -2x2 = -9 + 2x + 9 + -2x

Combine like terms: 26x + -2x = 24x
9 + 24x + -2x2 = -9 + 2x + 9 + -2x

Reorder the terms:
9 + 24x + -2x2 = -9 + 9 + 2x + -2x

Combine like terms: -9 + 9 = 0
9 + 24x + -2x2 = 0 + 2x + -2x
9 + 24x + -2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 24x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
-4.5 + -12x + x2 = 0

Move the constant term to the right:

Add '4.5' to each side of the equation.
-4.5 + -12x + 4.5 + x2 = 0 + 4.5

Reorder the terms:
-4.5 + 4.5 + -12x + x2 = 0 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -12x + x2 = 0 + 4.5
-12x + x2 = 0 + 4.5

Combine like terms: 0 + 4.5 = 4.5
-12x + x2 = 4.5

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = 4.5 + 36

Reorder the terms:
36 + -12x + x2 = 4.5 + 36

Combine like terms: 4.5 + 36 = 40.5
36 + -12x + x2 = 40.5

Factor a perfect square on the left side:
(x + -6)(x + -6) = 40.5

Calculate the square root of the right side: 6.363961031

Break this problem into two subproblems by setting 
(x + -6) equal to 6.363961031 and -6.363961031.

Subproblem 1

x + -6 = 6.363961031 Simplifying x + -6 = 6.363961031 Reorder the terms: -6 + x = 6.363961031 Solving -6 + x = 6.363961031 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 6.363961031 + 6 Combine like terms: -6 + 6 = 0 0 + x = 6.363961031 + 6 x = 6.363961031 + 6 Combine like terms: 6.363961031 + 6 = 12.363961031 x = 12.363961031 Simplifying x = 12.363961031

Subproblem 2

x + -6 = -6.363961031 Simplifying x + -6 = -6.363961031 Reorder the terms: -6 + x = -6.363961031 Solving -6 + x = -6.363961031 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = -6.363961031 + 6 Combine like terms: -6 + 6 = 0 0 + x = -6.363961031 + 6 x = -6.363961031 + 6 Combine like terms: -6.363961031 + 6 = -0.363961031 x = -0.363961031 Simplifying x = -0.363961031

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.363961031, -0.363961031}

See similar equations:

| X=-1-1*-1 | | 2/x-3=26/x | | 4(z+7)-(2x-1)=z | | 4c^2+19c-21=0 | | X=-8-1*-1 | | 16-(4M+8)=5+4M-13 | | (-1)-2*6= | | X=-8-y | | 3/4v=6 | | 6-8-(-12)-14-3*3*2*2= | | 5x+b=192 | | (-4)+(-2)*(-3)= | | 0=0.25x^2-5x+80 | | y=0.25x^2-5x+80 | | (-6)-(-10)= | | 0.8q+q=8(0.6q-2) | | 4x+2y+7+4x+3y= | | f(-1)=2x-3x | | 2x^2+x+1=25 | | 5y+y=90 | | 6-4(2-5x)= | | 8(m+3)=4 | | 11+5x=4x-20 | | log[2](-6-5x)=2 | | 8p^2-4p=o | | 4=2x^2-24x+76 | | x-8=4x+1 | | 2.50+5.75=56 | | log(5x-7)=3 | | (8.2h)/2=36.1 | | 21x^6+42x^2=7x^2 | | 2.16=-log(x) |

Equations solver categories