x(3-x)-5x=8-(x+2)

Simple and best practice solution for x(3-x)-5x=8-(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 x(3-x)-5x=8-(x+2) equation:


Simplifying
x(3 + -1x) + -5x = 8 + -1(x + 2)
(3 * x + -1x * x) + -5x = 8 + -1(x + 2)
(3x + -1x2) + -5x = 8 + -1(x + 2)

Reorder the terms:
3x + -5x + -1x2 = 8 + -1(x + 2)

Combine like terms: 3x + -5x = -2x
-2x + -1x2 = 8 + -1(x + 2)

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

Combine like terms: 8 + -2 = 6
-2x + -1x2 = 6 + -1x

Solving
-2x + -1x2 = 6 + -1x

Solving for variable 'x'.

Reorder the terms:
-6 + -2x + x + -1x2 = 6 + -1x + -6 + x

Combine like terms: -2x + x = -1x
-6 + -1x + -1x2 = 6 + -1x + -6 + x

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + x + x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(6 + x + x2)' equal to zero and attempt to solve: Simplifying 6 + x + x2 = 0 Solving 6 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x + x2 = 0 + -6 x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 x + x2 = -6 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -6 + 0.25 Reorder the terms: 0.25 + x + x2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + x + x2 = -5.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 2m^2+7-30=0 | | 2x-44+x+74+x+82=360 | | x+53+x+95+53+53=360 | | x+0.60(x+0.01)=0.0482 | | 2(x+4)+x=20 | | 5-7s=6s | | 13=4(x+3)+1 | | x^2=18d+80 | | x+0.59(x+0.01)=0.0484 | | 2x+35=x-15 | | 10(s-10)=-167 | | 2r+6s=36 | | 8n-(-2)=7 | | -1(x^2-2x-35)=0 | | 3x-10+4x-20=360 | | 5x^3-25x^2+2x-10=0 | | 7(4n-5h)= | | x+0.86(x+0.01)=0.052 | | 3x-10+4x-20= | | X-yi=8-4i | | 4x+35=3+8x-8 | | 2x-7/4=3x-6/8 | | 13x-4y=47 | | 5-(5^2)/1(-4)= | | -1(x^2-4x-77)=0 | | 6x+17=7x+12 | | 5-(5^2)/1(-4) | | 9=6+3u | | x+0.57(x+0.01)=0.0493 | | 5x+15+4x-6=360 | | R=J+Y+Z | | 7x-9-4x=4x-2 |

Equations solver categories