3x^2-40x-1270=

Simple and best practice solution for 3x^2-40x-1270= 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^2-40x-1270= equation: 


Simplifying
3x2 + -40x + -1270 = 0

Reorder the terms:
-1270 + -40x + 3x2 = 0

Solving
-1270 + -40x + 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'.
-423.3333333 + -13.33333333x + x2 = 0

Move the constant term to the right:

Add '423.3333333' to each side of the equation.
-423.3333333 + -13.33333333x + 423.3333333 + x2 = 0 + 423.3333333

Reorder the terms:
-423.3333333 + 423.3333333 + -13.33333333x + x2 = 0 + 423.3333333

Combine like terms: -423.3333333 + 423.3333333 = 0.0000000
0.0000000 + -13.33333333x + x2 = 0 + 423.3333333
-13.33333333x + x2 = 0 + 423.3333333

Combine like terms: 0 + 423.3333333 = 423.3333333
-13.33333333x + x2 = 423.3333333

The x term is -13.33333333x.  Take half its coefficient (-6.666666665).
Square it (44.44444442) and add it to both sides.

Add '44.44444442' to each side of the equation.
-13.33333333x + 44.44444442 + x2 = 423.3333333 + 44.44444442

Reorder the terms:
44.44444442 + -13.33333333x + x2 = 423.3333333 + 44.44444442

Combine like terms: 423.3333333 + 44.44444442 = 467.77777772
44.44444442 + -13.33333333x + x2 = 467.77777772

Factor a perfect square on the left side:
(x + -6.666666665)(x + -6.666666665) = 467.77777772

Calculate the square root of the right side: 21.628170929

Break this problem into two subproblems by setting 
(x + -6.666666665) equal to 21.628170929 and -21.628170929.


Subproblem 1
x + -6.666666665 = 21.628170929

Simplifying
x + -6.666666665 = 21.628170929

Reorder the terms:
-6.666666665 + x = 21.628170929

Solving
-6.666666665 + x = 21.628170929

Solving for variable 'x'.

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

Add '6.666666665' to each side of the equation.
-6.666666665 + 6.666666665 + x = 21.628170929 + 6.666666665

Combine like terms: -6.666666665 + 6.666666665 = 0.000000000
0.000000000 + x = 21.628170929 + 6.666666665
x = 21.628170929 + 6.666666665

Combine like terms: 21.628170929 + 6.666666665 = 28.294837594
x = 28.294837594

Simplifying
x = 28.294837594


Subproblem 2
x + -6.666666665 = -21.628170929

Simplifying
x + -6.666666665 = -21.628170929

Reorder the terms:
-6.666666665 + x = -21.628170929

Solving
-6.666666665 + x = -21.628170929

Solving for variable 'x'.

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

Add '6.666666665' to each side of the equation.
-6.666666665 + 6.666666665 + x = -21.628170929 + 6.666666665

Combine like terms: -6.666666665 + 6.666666665 = 0.000000000
0.000000000 + x = -21.628170929 + 6.666666665
x = -21.628170929 + 6.666666665

Combine like terms: -21.628170929 + 6.666666665 = -14.961504264
x = -14.961504264

Simplifying
x = -14.961504264


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {28.294837594, -14.961504264}

See similar equations:

| 6a(-ab^-2)/-2a^2b^-3 | | P=8x+10x | | x(4x)+36+x= | | 4×7/4 | | (4y+13)(3y+18)=0 | | 9n+3n=4n | | 3(x-9)=38 | | 16=-7-x | | x(4x)+x=36 | | g(x)=3Sin(4x)+4Cos(3x) | | y=-27+5x | | m(3n-9)= | | 20a^2+41a+20=0 | | y=5x-27 | | 6a^2b^2-12ab^2= | | 2x+3=15-7x | | 3/2x-2y=12 | | (2)+5-6= | | 3456/64= | | 7(t-3)-t=15 | | 3510/64= | | 64/3510= | | m+7= | | (x-2)(5-x)=0 | | 3p^2-30-11=6p | | (8x-9)=(-5x-2) | | 14-x=16-2x | | -5x+8x=15-7x | | 1.8(n-3)=9 | | 2x+(-4)-65= | | 6+8x=-22+x | | 3(x+3)-11= |

Equations solver categories