-3x(x-1)+8(x-3)=6x+7-5x

Simple and best practice solution for -3x(x-1)+8(x-3)=6x+7-5x 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 -3x(x-1)+8(x-3)=6x+7-5x equation:


Simplifying
-3x(x + -1) + 8(x + -3) = 6x + 7 + -5x

Reorder the terms:
-3x(-1 + x) + 8(x + -3) = 6x + 7 + -5x
(-1 * -3x + x * -3x) + 8(x + -3) = 6x + 7 + -5x
(3x + -3x2) + 8(x + -3) = 6x + 7 + -5x

Reorder the terms:
3x + -3x2 + 8(-3 + x) = 6x + 7 + -5x
3x + -3x2 + (-3 * 8 + x * 8) = 6x + 7 + -5x
3x + -3x2 + (-24 + 8x) = 6x + 7 + -5x

Reorder the terms:
-24 + 3x + 8x + -3x2 = 6x + 7 + -5x

Combine like terms: 3x + 8x = 11x
-24 + 11x + -3x2 = 6x + 7 + -5x

Reorder the terms:
-24 + 11x + -3x2 = 7 + 6x + -5x

Combine like terms: 6x + -5x = 1x
-24 + 11x + -3x2 = 7 + 1x

Solving
-24 + 11x + -3x2 = 7 + 1x

Solving for variable 'x'.

Reorder the terms:
-24 + -7 + 11x + -1x + -3x2 = 7 + 1x + -7 + -1x

Combine like terms: -24 + -7 = -31
-31 + 11x + -1x + -3x2 = 7 + 1x + -7 + -1x

Combine like terms: 11x + -1x = 10x
-31 + 10x + -3x2 = 7 + 1x + -7 + -1x

Reorder the terms:
-31 + 10x + -3x2 = 7 + -7 + 1x + -1x

Combine like terms: 7 + -7 = 0
-31 + 10x + -3x2 = 0 + 1x + -1x
-31 + 10x + -3x2 = 1x + -1x

Combine like terms: 1x + -1x = 0
-31 + 10x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
10.33333333 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-10.33333333' to each side of the equation.
10.33333333 + -3.333333333x + -10.33333333 + x2 = 0 + -10.33333333

Reorder the terms:
10.33333333 + -10.33333333 + -3.333333333x + x2 = 0 + -10.33333333

Combine like terms: 10.33333333 + -10.33333333 = 0.00000000
0.00000000 + -3.333333333x + x2 = 0 + -10.33333333
-3.333333333x + x2 = 0 + -10.33333333

Combine like terms: 0 + -10.33333333 = -10.33333333
-3.333333333x + x2 = -10.33333333

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -10.33333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -10.33333333 + 2.777777779

Combine like terms: -10.33333333 + 2.777777779 = -7.555555551
2.777777779 + -3.333333333x + x2 = -7.555555551

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -7.555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -16+-9= | | x+3+4=14 | | -m^2-13m-40=0 | | -9-5x=31 | | 9t-14t=3+5t+4 | | 4n^2+11d+5=0 | | x-(-3x+8)=6 | | 6+3x=1x-8 | | 2xy+7x-4-4x+7x+9= | | p+6p=21+7 | | 60=x(x+4) | | 50x^2+20x=-2 | | 20=x(x+3) | | x+9*x+9=3 | | d^2=5d | | 5x-2(-2x+3)=10 | | A=ym+y | | 3b^2+7b-6=0 | | -10-4x=26 | | x^2-6x+9=13 | | z^2-10z+24=0 | | x^2+3x-30=0 | | d(d-8)=0 | | (2x-7)(4x+10)=0 | | 3t^2=-12t | | (y+6)(y-4)=0 | | -10+x=-18 | | 3m+2=-4m-9 | | -7x+9=8x-66 | | y^2+60y=5 | | 6x^2=-7x-2 | | x^2-200=0 |

Equations solver categories