-3x(x-1)=4(x+2)+2

Simple and best practice solution for -3x(x-1)=4(x+2)+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 -3x(x-1)=4(x+2)+2 equation: 


Simplifying
-3x(x + -1) = 4(x + 2) + 2

Reorder the terms:
-3x(-1 + x) = 4(x + 2) + 2
(-1 * -3x + x * -3x) = 4(x + 2) + 2
(3x + -3x2) = 4(x + 2) + 2

Reorder the terms:
3x + -3x2 = 4(2 + x) + 2
3x + -3x2 = (2 * 4 + x * 4) + 2
3x + -3x2 = (8 + 4x) + 2

Reorder the terms:
3x + -3x2 = 8 + 2 + 4x

Combine like terms: 8 + 2 = 10
3x + -3x2 = 10 + 4x

Solving
3x + -3x2 = 10 + 4x

Solving for variable 'x'.

Reorder the terms:
-10 + 3x + -4x + -3x2 = 10 + 4x + -10 + -4x

Combine like terms: 3x + -4x = -1x
-10 + -1x + -3x2 = 10 + 4x + -10 + -4x

Reorder the terms:
-10 + -1x + -3x2 = 10 + -10 + 4x + -4x

Combine like terms: 10 + -10 = 0
-10 + -1x + -3x2 = 0 + 4x + -4x
-10 + -1x + -3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + -1x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10 + x + 3x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(10 + x + 3x2)' equal to zero and attempt to solve:

Simplifying
10 + x + 3x2 = 0

Solving
10 + x + 3x2 = 0

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

Divide each side by '3'.
3.333333333 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 0.3333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 0.3333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 0.3333333333x + x2 = 0 + -3.333333333
0.3333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
0.3333333333x + x2 = -3.333333333

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.
0.3333333333x + 0.25 + x2 = -3.333333333 + 0.25

Reorder the terms:
0.25 + 0.3333333333x + x2 = -3.333333333 + 0.25

Combine like terms: -3.333333333 + 0.25 = -3.083333333
0.25 + 0.3333333333x + x2 = -3.083333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.083333333

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:

| (y+6)(y-6)= | | 0x=o | | Y=1/2(x+3) | | -98-x=64-7x | | 5x=480(1/2) | | 3/a+5/6 | | 5*4(n*9)=-3 | | 20x-50=19x+13 | | 5x+-3=13x+-91 | | 18x=45 | | 4x^3+8x^2=32x | | 3x-333=207+12x | | x+7/6+2x-8/2=-4 | | 7(-3)-3x=18 | | 2(k-5)+3k=k+6 | | 0.04x=(0.3)(0.4) | | -25x-136=-21x+52 | | 3(-8)+2y=16 | | 9+3m-3=9m+15-5m | | -336+15x=6x+87 | | 75-27y^2= | | 8x+7=77 | | 5x+2-4x=-2 | | 2y+4=8x | | 2x^3+3x^2-5x-6=0 | | -1/4-5/7 | | 7(-2)+2y=6 | | -2x-3(x+1)=5x+6 | | -14+2y=6 | | -2(x-7)=2x-14 | | 7(x-22)=9x-6 | | 9x+4y+1=0 |

Equations solver categories