0.78571428571=(x-9)*x

Simple and best practice solution for 0.78571428571=(x-9)*x 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 0.78571428571=(x-9)*x equation:


Simplifying
0.78571428571 = (x + -9) * x

Reorder the terms:
0.78571428571 = (-9 + x) * x

Reorder the terms for easier multiplication:
0.78571428571 = x(-9 + x)
0.78571428571 = (-9 * x + x * x)
0.78571428571 = (-9x + x2)

Solving
0.78571428571 = -9x + x2

Solving for variable 'x'.

Reorder the terms:
0.78571428571 + 9x + -1x2 = -9x + 9x + x2 + -1x2

Combine like terms: -9x + 9x = 0
0.78571428571 + 9x + -1x2 = 0 + x2 + -1x2
0.78571428571 + 9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0.78571428571 + 9x + -1x2 = 0

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

Divide each side by '-1'.
-0.7857142857 + -9x + x2 = 0

Move the constant term to the right:

Add '0.7857142857' to each side of the equation.
-0.7857142857 + -9x + 0.7857142857 + x2 = 0 + 0.7857142857

Reorder the terms:
-0.7857142857 + 0.7857142857 + -9x + x2 = 0 + 0.7857142857

Combine like terms: -0.7857142857 + 0.7857142857 = 0.0000000000
0.0000000000 + -9x + x2 = 0 + 0.7857142857
-9x + x2 = 0 + 0.7857142857

Combine like terms: 0 + 0.7857142857 = 0.7857142857
-9x + x2 = 0.7857142857

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = 0.7857142857 + 20.25

Reorder the terms:
20.25 + -9x + x2 = 0.7857142857 + 20.25

Combine like terms: 0.7857142857 + 20.25 = 21.0357142857
20.25 + -9x + x2 = 21.0357142857

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = 21.0357142857

Calculate the square root of the right side: 4.586470788

Break this problem into two subproblems by setting 
(x + -4.5) equal to 4.586470788 and -4.586470788.

Subproblem 1

x + -4.5 = 4.586470788 Simplifying x + -4.5 = 4.586470788 Reorder the terms: -4.5 + x = 4.586470788 Solving -4.5 + x = 4.586470788 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + x = 4.586470788 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + x = 4.586470788 + 4.5 x = 4.586470788 + 4.5 Combine like terms: 4.586470788 + 4.5 = 9.086470788 x = 9.086470788 Simplifying x = 9.086470788

Subproblem 2

x + -4.5 = -4.586470788 Simplifying x + -4.5 = -4.586470788 Reorder the terms: -4.5 + x = -4.586470788 Solving -4.5 + x = -4.586470788 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + x = -4.586470788 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + x = -4.586470788 + 4.5 x = -4.586470788 + 4.5 Combine like terms: -4.586470788 + 4.5 = -0.086470788 x = -0.086470788 Simplifying x = -0.086470788

Solution

The solution to the problem is based on the solutions from the subproblems. x = {9.086470788, -0.086470788}

See similar equations:

| 60*v=15 | | 126=-9n | | 6=-7k+(-6)k | | 8m^2+10m^2-4m^2= | | 4(3x-4)=-11 | | (5+w)(4w+9)=0 | | 17v=-102 | | 8y+15-4y=20-13 | | 2x-3(4x+7)= | | x=(x-9)*x | | 5x+6x+4=-7 | | 4x+5x-20=80+3x | | -8=-7-s | | -x-4=-4x | | 0.7857142857=(x-9)x | | 8(2t+4)=3(24-8t) | | -2(5+x)=-105 | | 6x-14+2x=3+8x-16 | | -8+z=-1 | | 22r^2+880r=16632 | | 8y-9-3y+5=0 | | 6(x+7)=-4x-2 | | 20x-2=30x+4 | | 5x+18+52=90 | | (xy+2)(x^2y^2-2xy+4)= | | 5-ln(2-x)=0 | | m+2.4=9.4 | | 4=m(3)+0 | | 13m+8m= | | 12=c-7 | | x=0.56*(x-(x+9)) | | x=0.56*(x+(x-9)) |

Equations solver categories