79=3x^2+6x

Simple and best practice solution for 79=3x^2+6x 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 79=3x^2+6x equation:


Simplifying
79 = 3x2 + 6x

Reorder the terms:
79 = 6x + 3x2

Solving
79 = 6x + 3x2

Solving for variable 'x'.

Reorder the terms:
79 + -6x + -3x2 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
79 + -6x + -3x2 = 0 + 3x2 + -3x2
79 + -6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
79 + -6x + -3x2 = 0

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

Divide each side by '-3'.
-26.33333333 + 2x + x2 = 0

Move the constant term to the right:

Add '26.33333333' to each side of the equation.
-26.33333333 + 2x + 26.33333333 + x2 = 0 + 26.33333333

Reorder the terms:
-26.33333333 + 26.33333333 + 2x + x2 = 0 + 26.33333333

Combine like terms: -26.33333333 + 26.33333333 = 0.00000000
0.00000000 + 2x + x2 = 0 + 26.33333333
2x + x2 = 0 + 26.33333333

Combine like terms: 0 + 26.33333333 = 26.33333333
2x + x2 = 26.33333333

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 26.33333333 + 1

Reorder the terms:
1 + 2x + x2 = 26.33333333 + 1

Combine like terms: 26.33333333 + 1 = 27.33333333
1 + 2x + x2 = 27.33333333

Factor a perfect square on the left side:
(x + 1)(x + 1) = 27.33333333

Calculate the square root of the right side: 5.228129047

Break this problem into two subproblems by setting 
(x + 1) equal to 5.228129047 and -5.228129047.

Subproblem 1

x + 1 = 5.228129047 Simplifying x + 1 = 5.228129047 Reorder the terms: 1 + x = 5.228129047 Solving 1 + x = 5.228129047 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 5.228129047 + -1 Combine like terms: 1 + -1 = 0 0 + x = 5.228129047 + -1 x = 5.228129047 + -1 Combine like terms: 5.228129047 + -1 = 4.228129047 x = 4.228129047 Simplifying x = 4.228129047

Subproblem 2

x + 1 = -5.228129047 Simplifying x + 1 = -5.228129047 Reorder the terms: 1 + x = -5.228129047 Solving 1 + x = -5.228129047 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -5.228129047 + -1 Combine like terms: 1 + -1 = 0 0 + x = -5.228129047 + -1 x = -5.228129047 + -1 Combine like terms: -5.228129047 + -1 = -6.228129047 x = -6.228129047 Simplifying x = -6.228129047

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.228129047, -6.228129047}

See similar equations:

| 3n+4=51 | | 2w^2-5w-44=0 | | -39=q/3 | | 2.1x+2.8=7 | | x^3+216y^3=0 | | n*n+12n=28 | | 35=j/5 | | x+1/9=-4/7 | | 5x-7=-6-29 | | n+3/5=n-1/2 | | 5+(n-4)=3n+6 | | 4m-16/12=-3 | | 7x-4=-2x+7+9x-5 | | 3(2x-3)-3x+12=27 | | p+2.7=4.5 | | 7r=7/2 | | p+2.7= | | 3.6q-1.6-5.2q=2.6q-1.3 | | 4m-2=6m+3-m | | 32v=16 | | 2(x+4)=3x-6 | | -15=5(x+9) | | 2b+8/5=-12 | | 3x+=4x+5 | | x+23+x+54=180 | | l=20x+10y | | 2x^4-10x^3-8x^2=0 | | 11(w+4)=33(w) | | 8-24x=-4 | | 6x-0.4=7x | | 22-5(6r-1)=-63 | | 12-p=14+3p |

Equations solver categories