-3x^2+18x+5=0

Simple and best practice solution for -3x^2+18x+5=0 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^2+18x+5=0 equation: 


Simplifying
-3x2 + 18x + 5 = 0

Reorder the terms:
5 + 18x + -3x2 = 0

Solving
5 + 18x + -3x2 = 0

Solving for variable 'x'.

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

Divide each side by '-3'.
-1.666666667 + -6x + x2 = 0

Move the constant term to the right:

Add '1.666666667' to each side of the equation.
-1.666666667 + -6x + 1.666666667 + x2 = 0 + 1.666666667

Reorder the terms:
-1.666666667 + 1.666666667 + -6x + x2 = 0 + 1.666666667

Combine like terms: -1.666666667 + 1.666666667 = 0.000000000
0.000000000 + -6x + x2 = 0 + 1.666666667
-6x + x2 = 0 + 1.666666667

Combine like terms: 0 + 1.666666667 = 1.666666667
-6x + x2 = 1.666666667

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = 1.666666667 + 9

Reorder the terms:
9 + -6x + x2 = 1.666666667 + 9

Combine like terms: 1.666666667 + 9 = 10.666666667
9 + -6x + x2 = 10.666666667

Factor a perfect square on the left side:
(x + -3)(x + -3) = 10.666666667

Calculate the square root of the right side: 3.265986324

Break this problem into two subproblems by setting 
(x + -3) equal to 3.265986324 and -3.265986324.


Subproblem 1
x + -3 = 3.265986324

Simplifying
x + -3 = 3.265986324

Reorder the terms:
-3 + x = 3.265986324

Solving
-3 + x = 3.265986324

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = 3.265986324 + 3

Combine like terms: -3 + 3 = 0
0 + x = 3.265986324 + 3
x = 3.265986324 + 3

Combine like terms: 3.265986324 + 3 = 6.265986324
x = 6.265986324

Simplifying
x = 6.265986324


Subproblem 2
x + -3 = -3.265986324

Simplifying
x + -3 = -3.265986324

Reorder the terms:
-3 + x = -3.265986324

Solving
-3 + x = -3.265986324

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = -3.265986324 + 3

Combine like terms: -3 + 3 = 0
0 + x = -3.265986324 + 3
x = -3.265986324 + 3

Combine like terms: -3.265986324 + 3 = -0.265986324
x = -0.265986324

Simplifying
x = -0.265986324


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.265986324, -0.265986324}

See similar equations:

| 5(3n+2)=21 | | 4n(6n+2)+n(3n+7)= | | 4x+2=12-10x | | -8y^3(7y^2-4y-1)= | | 63=x-2 | | 2x^2-18x=0-115 | | sin(x-10)=cosx | | x^2-18x+x^2+115=0 | | Sin(x-10)=coax | | 35=16+x | | 2x^2-18x=-115 | | 5y+2=10 | | 8(4k-a)=-5k-32 | | -4x^3+20x^2+2x-6=0 | | 6+3x=6x-9 | | -y+2y=-8-5y | | 2n(n-8)=0 | | 4+3m-m=30 | | 9z*-18z=0 | | 9=ln(x+5) | | 1*4x^2= | | (x-4)(16x^2+20x+80)= | | x+4y-7=6 | | 49n^2-84n+36= | | 7y-11xy= | | 9XWHAT=162 | | log(x^2+6x-6)=1 | | -x+5=-25 | | (5z+7)(8+z)=0 | | Sqrty-11=6 | | x^3-15*x^2-18*x-42=0 | | 0.4(x+100)=0.02(2x+7) |

Equations solver categories