(x^2-7x+8)=x-6

Simple and best practice solution for (x^2-7x+8)=x-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 (x^2-7x+8)=x-6 equation:


Simplifying
(x2 + -7x + 8) = x + -6

Reorder the terms:
(8 + -7x + x2) = x + -6

Remove parenthesis around (8 + -7x + x2)
8 + -7x + x2 = x + -6

Reorder the terms:
8 + -7x + x2 = -6 + x

Solving
8 + -7x + x2 = -6 + x

Solving for variable 'x'.

Reorder the terms:
8 + 6 + -7x + -1x + x2 = -6 + x + 6 + -1x

Combine like terms: 8 + 6 = 14
14 + -7x + -1x + x2 = -6 + x + 6 + -1x

Combine like terms: -7x + -1x = -8x
14 + -8x + x2 = -6 + x + 6 + -1x

Reorder the terms:
14 + -8x + x2 = -6 + 6 + x + -1x

Combine like terms: -6 + 6 = 0
14 + -8x + x2 = 0 + x + -1x
14 + -8x + x2 = x + -1x

Combine like terms: x + -1x = 0
14 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -8x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -8x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -8x + x2 = 0 + -14
-8x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-8x + x2 = -14

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -14 + 16

Reorder the terms:
16 + -8x + x2 = -14 + 16

Combine like terms: -14 + 16 = 2
16 + -8x + x2 = 2

Factor a perfect square on the left side:
(x + -4)(x + -4) = 2

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(x + -4) equal to 1.414213562 and -1.414213562.

Subproblem 1

x + -4 = 1.414213562 Simplifying x + -4 = 1.414213562 Reorder the terms: -4 + x = 1.414213562 Solving -4 + x = 1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 1.414213562 + 4 Combine like terms: -4 + 4 = 0 0 + x = 1.414213562 + 4 x = 1.414213562 + 4 Combine like terms: 1.414213562 + 4 = 5.414213562 x = 5.414213562 Simplifying x = 5.414213562

Subproblem 2

x + -4 = -1.414213562 Simplifying x + -4 = -1.414213562 Reorder the terms: -4 + x = -1.414213562 Solving -4 + x = -1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -1.414213562 + 4 Combine like terms: -4 + 4 = 0 0 + x = -1.414213562 + 4 x = -1.414213562 + 4 Combine like terms: -1.414213562 + 4 = 2.585786438 x = 2.585786438 Simplifying x = 2.585786438

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.414213562, 2.585786438}

See similar equations:

| 72x^2-228x^2+140x=0 | | 3x*7y=1 | | 5x+68=11x-10 | | 11x-256=2x-13 | | 0=(x^2+9)*(x-5)(x+3) | | 7+78=52x+25 | | 5b+5=-35 | | 0.5*x^2-7*x=0 | | 5x(x+1)-3x(x+1)= | | 2(45)(45-20)+2(45+50)(45-20)+2(45+50)45=m | | 120-78a=78 | | 2(n+.3)=9(n-3.2) | | 6x-x+4x+35=180 | | 6x-5x+4x+35=180 | | 3(x+6)-5(-2x-3)=19 | | 8=5x+12 | | 12x^3+24=0 | | 5x^2+kx-3=o | | 3x+7y=5224 | | mx^2-(2m-1)x+m-2=0 | | 3(4m+5)-2(m-4)= | | 2x-5=-36-12 | | 2x+36=5x-12 | | 5x^2-45+15=0 | | -5x^2-40x+25=0 | | 22=5x+y | | 19x-214=14 | | (a+b)x+(3a+8b)=1 | | lx+1l-lx-2l=8 | | a=9+9+0.5a | | (2x+1)2(x-2)(x+3)+36=0 | | 4(3m-14)=7m-6 |

Equations solver categories