0=56-10x+x^2

Simple and best practice solution for 0=56-10x+x^2 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 0=56-10x+x^2 equation:


Simplifying
0 = 56 + -10x + x2

Solving
0 = 56 + -10x + x2

Solving for variable 'x'.

Combine like terms: 0 + -56 = -56
-56 + 10x + -1x2 = 56 + -10x + x2 + -56 + 10x + -1x2

Reorder the terms:
-56 + 10x + -1x2 = 56 + -56 + -10x + 10x + x2 + -1x2

Combine like terms: 56 + -56 = 0
-56 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2
-56 + 10x + -1x2 = -10x + 10x + x2 + -1x2

Combine like terms: -10x + 10x = 0
-56 + 10x + -1x2 = 0 + x2 + -1x2
-56 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-56 + 10x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
56 + -10x + x2 = 0

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + -10x + -56 + x2 = 0 + -56

Reorder the terms:
56 + -56 + -10x + x2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -10x + x2 = 0 + -56
-10x + x2 = 0 + -56

Combine like terms: 0 + -56 = -56
-10x + x2 = -56

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -56 + 25

Reorder the terms:
25 + -10x + x2 = -56 + 25

Combine like terms: -56 + 25 = -31
25 + -10x + x2 = -31

Factor a perfect square on the left side:
(x + -5)(x + -5) = -31

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| a=15k | | 112r^3s^4+126r^2s^4-84r^4s^3=0 | | 125x^3+64=0 | | 4y^4-121x^2=0 | | 2*x^2-14*x+24=0 | | x^8-81=0 | | 64c^6+61c^3-125=0 | | 21x^2-68x+32=0 | | 2*3=8 | | y^2-6y=-10 | | y^2-6y=10 | | 4x=12+16 | | (12+16)x=4 | | 3y^2-y+5=0 | | 2n^2-3n-27=0 | | y^2-4y=32 | | A=(-4,2) | | -x(1+3x)=0 | | 3(4)x=2(12)(16) | | 7p-p= | | 10y^2+y-21=0 | | (3+a)x+ay+1=0 | | 3x-2=36 | | 0=4k^2-7k+3 | | 5(3x-5x)=36+9 | | ln(2x^2-4)-ln(x+1)-ln(x-1)=0 | | 3x-7(24x)+1= | | 4-20=7 | | 4x-2x+143=17-5+2x | | 9x-3=7x+1 | | 3-6x=12-7x | | -29=-6u |

Equations solver categories