(x^2)-6x=-7.75

Simple and best practice solution for (x^2)-6x=-7.75 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)-6x=-7.75 equation:


Simplifying
(x2) + -6x = -7.75
x2 + -6x = -7.75

Reorder the terms:
-6x + x2 = -7.75

Solving
-6x + x2 = -7.75

Solving for variable 'x'.

Reorder the terms:
7.75 + -6x + x2 = -7.75 + 7.75

Combine like terms: -7.75 + 7.75 = 0.00
7.75 + -6x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-7.75' to each side of the equation.
7.75 + -6x + -7.75 + x2 = 0.00 + -7.75

Reorder the terms:
7.75 + -7.75 + -6x + x2 = 0.00 + -7.75

Combine like terms: 7.75 + -7.75 = 0.00
0.00 + -6x + x2 = 0.00 + -7.75
-6x + x2 = 0.00 + -7.75

Combine like terms: 0.00 + -7.75 = -7.75
-6x + x2 = -7.75

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -7.75 + 9

Reorder the terms:
9 + -6x + x2 = -7.75 + 9

Combine like terms: -7.75 + 9 = 1.25
9 + -6x + x2 = 1.25

Factor a perfect square on the left side:
(x + -3)(x + -3) = 1.25

Calculate the square root of the right side: 1.118033989

Break this problem into two subproblems by setting 
(x + -3) equal to 1.118033989 and -1.118033989.

Subproblem 1

x + -3 = 1.118033989 Simplifying x + -3 = 1.118033989 Reorder the terms: -3 + x = 1.118033989 Solving -3 + x = 1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 1.118033989 + 3 Combine like terms: -3 + 3 = 0 0 + x = 1.118033989 + 3 x = 1.118033989 + 3 Combine like terms: 1.118033989 + 3 = 4.118033989 x = 4.118033989 Simplifying x = 4.118033989

Subproblem 2

x + -3 = -1.118033989 Simplifying x + -3 = -1.118033989 Reorder the terms: -3 + x = -1.118033989 Solving -3 + x = -1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = -1.118033989 + 3 Combine like terms: -3 + 3 = 0 0 + x = -1.118033989 + 3 x = -1.118033989 + 3 Combine like terms: -1.118033989 + 3 = 1.881966011 x = 1.881966011 Simplifying x = 1.881966011

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.118033989, 1.881966011}

See similar equations:

| 9x+y=20 | | -92+8x=2x+40 | | 1+X^2+X^3+X^4+X^8=285 | | (3+4i)+(-6+2i)= | | p=-.5x^2+40x-740 | | 8-x/5=10 | | -46+8x=2x+56 | | m^3+8m+7=0 | | -75-8x=24+x | | 2x^2+6x=59 | | 20+1x+2y=-10 | | x=0.79+0.05(0.79) | | 3x^1/2-2x^1/4-1=0 | | 4x(x^2-2)=0 | | -48/-4= | | 0.25*184= | | -92-4x=8x+22 | | -12x-3= | | 7x--4= | | 18x+5=25x+5 | | 78+82=85 | | -6x-66=-x+44 | | 5.0(x+0.3)=15.0x-0.6 | | 3x-156=42-8x | | z^-1/z^-2 | | -4x-79=8x+29 | | 3x+7-3=4x-6+3 | | 2x+2y+20=x-10 | | -76+2x=-9x+34 | | 5x-1=5x+3 | | 21x+8+23x-4=180 | | 2(g+7)=-20 |

Equations solver categories