3x^2-46x-460=0

Simple and best practice solution for 3x^2-46x-460=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^2-46x-460=0 equation: 


Simplifying
3x2 + -46x + -460 = 0

Reorder the terms:
-460 + -46x + 3x2 = 0

Solving
-460 + -46x + 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'.
-153.3333333 + -15.33333333x + x2 = 0

Move the constant term to the right:

Add '153.3333333' to each side of the equation.
-153.3333333 + -15.33333333x + 153.3333333 + x2 = 0 + 153.3333333

Reorder the terms:
-153.3333333 + 153.3333333 + -15.33333333x + x2 = 0 + 153.3333333

Combine like terms: -153.3333333 + 153.3333333 = 0.0000000
0.0000000 + -15.33333333x + x2 = 0 + 153.3333333
-15.33333333x + x2 = 0 + 153.3333333

Combine like terms: 0 + 153.3333333 = 153.3333333
-15.33333333x + x2 = 153.3333333

The x term is -15.33333333x.  Take half its coefficient (-7.666666665).
Square it (58.77777775) and add it to both sides.

Add '58.77777775' to each side of the equation.
-15.33333333x + 58.77777775 + x2 = 153.3333333 + 58.77777775

Reorder the terms:
58.77777775 + -15.33333333x + x2 = 153.3333333 + 58.77777775

Combine like terms: 153.3333333 + 58.77777775 = 212.11111105
58.77777775 + -15.33333333x + x2 = 212.11111105

Factor a perfect square on the left side:
(x + -7.666666665)(x + -7.666666665) = 212.11111105

Calculate the square root of the right side: 14.564034848

Break this problem into two subproblems by setting 
(x + -7.666666665) equal to 14.564034848 and -14.564034848.


Subproblem 1
x + -7.666666665 = 14.564034848

Simplifying
x + -7.666666665 = 14.564034848

Reorder the terms:
-7.666666665 + x = 14.564034848

Solving
-7.666666665 + x = 14.564034848

Solving for variable 'x'.

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

Add '7.666666665' to each side of the equation.
-7.666666665 + 7.666666665 + x = 14.564034848 + 7.666666665

Combine like terms: -7.666666665 + 7.666666665 = 0.000000000
0.000000000 + x = 14.564034848 + 7.666666665
x = 14.564034848 + 7.666666665

Combine like terms: 14.564034848 + 7.666666665 = 22.230701513
x = 22.230701513

Simplifying
x = 22.230701513


Subproblem 2
x + -7.666666665 = -14.564034848

Simplifying
x + -7.666666665 = -14.564034848

Reorder the terms:
-7.666666665 + x = -14.564034848

Solving
-7.666666665 + x = -14.564034848

Solving for variable 'x'.

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

Add '7.666666665' to each side of the equation.
-7.666666665 + 7.666666665 + x = -14.564034848 + 7.666666665

Combine like terms: -7.666666665 + 7.666666665 = 0.000000000
0.000000000 + x = -14.564034848 + 7.666666665
x = -14.564034848 + 7.666666665

Combine like terms: -14.564034848 + 7.666666665 = -6.897368183
x = -6.897368183

Simplifying
x = -6.897368183


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {22.230701513, -6.897368183}

See similar equations:

| 0.45(x+50)+0.18(x+40)=-27 | | 2a-3a-4=15 | | 2(y-2)+2x=6y | | 1-2(x+2)=x | | 15=2-(y+9) | | 2(x-2)+2y=6x | | (x-3)(x+2)(3x-5)=0 | | x^2+24x-60=0 | | 4n+8n=12 | | (-6+2i)(7+i)= | | 16=7x+x | | 2x-4+3x=-34 | | 7x+7=12x-9 | | 2x-4+3x= | | 5.6=a*(2-5.25)2-6.9 | | 2(7s+2)-10s=2(2s+1)-5 | | -3(4x+3)+5(-8x-2)=-4x-8x | | 6.5(1z-2)=2.5(3z+3)-6.5 | | -2x+4=-10 | | 12(x+4)=4(3x+2)+40 | | -2x+5=-10 | | 4n+5=6+7 | | 12(x+4)=4(3x+12)+40 | | h(t)=-15t^2+90t+10 | | 25x^2-4y^2= | | 0.2(x+20)+0.2x=8 | | 16-46=5(x-2)-5 | | 48=.5(x)(x+4) | | 12(3x+4)-6(2x-2)=4x-40 | | 5a+6=2a+21 | | 96x-5=-420 | | 5a-2=-22 |

Equations solver categories