-6x^2+3=-2x

Simple and best practice solution for -6x^2+3=-2x 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 -6x^2+3=-2x equation:


Simplifying
-6x2 + 3 = -2x

Reorder the terms:
3 + -6x2 = -2x

Solving
3 + -6x2 = -2x

Solving for variable 'x'.

Reorder the terms:
3 + 2x + -6x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 2x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
-0.5 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + -0.3333333333x + 0.5 + x2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + -0.3333333333x + x2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -0.3333333333x + x2 = 0 + 0.5
-0.3333333333x + x2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
-0.3333333333x + x2 = 0.5

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = 0.5 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = 0.5 + 0.02777777779

Combine like terms: 0.5 + 0.02777777779 = 0.52777777779
0.02777777779 + -0.3333333333x + x2 = 0.52777777779

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = 0.52777777779

Calculate the square root of the right side: 0.726483157

Break this problem into two subproblems by setting 
(x + -0.1666666667) equal to 0.726483157 and -0.726483157.

Subproblem 1

x + -0.1666666667 = 0.726483157 Simplifying x + -0.1666666667 = 0.726483157 Reorder the terms: -0.1666666667 + x = 0.726483157 Solving -0.1666666667 + x = 0.726483157 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + x = 0.726483157 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x = 0.726483157 + 0.1666666667 x = 0.726483157 + 0.1666666667 Combine like terms: 0.726483157 + 0.1666666667 = 0.8931498237 x = 0.8931498237 Simplifying x = 0.8931498237

Subproblem 2

x + -0.1666666667 = -0.726483157 Simplifying x + -0.1666666667 = -0.726483157 Reorder the terms: -0.1666666667 + x = -0.726483157 Solving -0.1666666667 + x = -0.726483157 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + x = -0.726483157 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x = -0.726483157 + 0.1666666667 x = -0.726483157 + 0.1666666667 Combine like terms: -0.726483157 + 0.1666666667 = -0.5598164903 x = -0.5598164903 Simplifying x = -0.5598164903

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.8931498237, -0.5598164903}

See similar equations:

| 5(-3x+7-5)+17=9(10x-9) | | e=6+2.0*(15-6) | | (4/9)/(x)=48 | | 20=8x+2-x | | 5a-b=53 | | 3(5x+10)=2(20x-10) | | 6(-4x+7)-12=7(2x+7) | | 3(u-5)-4=-3(-4u+7)-3u | | 3n=3n-6 | | 7(2x-2)+8=4(x+4) | | X=46+-2xY | | 2x+5.7y-1=0 | | ²/7(21x-14)=2x-2 | | 96=(h+8)(h-2)h | | 2+(3+4)=a | | 0.10(y-5)+0.18y=0.08y-0.2 | | -4(10-8)/2(4) | | X+2xY=46 | | 9cos(3x)=0 | | G-8.9=11.45 | | -50=10+2c | | 1.2x=1.8 | | 40X^2=1-X | | g(4)=25-3(4) | | -4+0.4x=6 | | 2(4x+5)=3(2x-4) | | .50x+4=.6x | | 3x+(x+30)=120 | | 27(-3k-8)=-7-34 | | p(x+2)=6x+1 | | 2[-7a+6]=-16-7a | | -5(4x-9)+6=20x+51 |

Equations solver categories