-3x^2+50x-35=0

Simple and best practice solution for -3x^2+50x-35=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+50x-35=0 equation: 


Simplifying
-3x2 + 50x + -35 = 0

Reorder the terms:
-35 + 50x + -3x2 = 0

Solving
-35 + 50x + -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'.
11.66666667 + -16.66666667x + x2 = 0

Move the constant term to the right:

Add '-11.66666667' to each side of the equation.
11.66666667 + -16.66666667x + -11.66666667 + x2 = 0 + -11.66666667

Reorder the terms:
11.66666667 + -11.66666667 + -16.66666667x + x2 = 0 + -11.66666667

Combine like terms: 11.66666667 + -11.66666667 = 0.00000000
0.00000000 + -16.66666667x + x2 = 0 + -11.66666667
-16.66666667x + x2 = 0 + -11.66666667

Combine like terms: 0 + -11.66666667 = -11.66666667
-16.66666667x + x2 = -11.66666667

The x term is -16.66666667x.  Take half its coefficient (-8.333333335).
Square it (69.44444447) and add it to both sides.

Add '69.44444447' to each side of the equation.
-16.66666667x + 69.44444447 + x2 = -11.66666667 + 69.44444447

Reorder the terms:
69.44444447 + -16.66666667x + x2 = -11.66666667 + 69.44444447

Combine like terms: -11.66666667 + 69.44444447 = 57.7777778
69.44444447 + -16.66666667x + x2 = 57.7777778

Factor a perfect square on the left side:
(x + -8.333333335)(x + -8.333333335) = 57.7777778

Calculate the square root of the right side: 7.601169502

Break this problem into two subproblems by setting 
(x + -8.333333335) equal to 7.601169502 and -7.601169502.


Subproblem 1
x + -8.333333335 = 7.601169502

Simplifying
x + -8.333333335 = 7.601169502

Reorder the terms:
-8.333333335 + x = 7.601169502

Solving
-8.333333335 + x = 7.601169502

Solving for variable 'x'.

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

Add '8.333333335' to each side of the equation.
-8.333333335 + 8.333333335 + x = 7.601169502 + 8.333333335

Combine like terms: -8.333333335 + 8.333333335 = 0.000000000
0.000000000 + x = 7.601169502 + 8.333333335
x = 7.601169502 + 8.333333335

Combine like terms: 7.601169502 + 8.333333335 = 15.934502837
x = 15.934502837

Simplifying
x = 15.934502837


Subproblem 2
x + -8.333333335 = -7.601169502

Simplifying
x + -8.333333335 = -7.601169502

Reorder the terms:
-8.333333335 + x = -7.601169502

Solving
-8.333333335 + x = -7.601169502

Solving for variable 'x'.

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

Add '8.333333335' to each side of the equation.
-8.333333335 + 8.333333335 + x = -7.601169502 + 8.333333335

Combine like terms: -8.333333335 + 8.333333335 = 0.000000000
0.000000000 + x = -7.601169502 + 8.333333335
x = -7.601169502 + 8.333333335

Combine like terms: -7.601169502 + 8.333333335 = 0.732163833
x = 0.732163833

Simplifying
x = 0.732163833


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15.934502837, 0.732163833}

See similar equations:

| X+39=12 | | 2xy-3y=-15 | | 6(x+6)-7= | | 2x-4x=-8 | | (a^2b)(a^13b^17)=0 | | 6x+2-3x=8 | | 2x^2+115x-300=0 | | 2w(6w+8)=2w(4w+24) | | b^2(c+4)= | | 6x+y=xy | | 108=(n-2)108 | | 25+a=53 | | 3n-8=10+(4n-8n) | | 25+a=35 | | 15-22= | | 18x+6=7x-170 | | x+18=4x-33 | | 2(47-x)-15=45 | | 15=6y+13 | | 6-7x=-6x | | w=(6y-x)y | | -16+20= | | 12+a=0.5 | | 4x^3-3x^5-3x^7-x^9=0 | | -54*(-67)= | | 5-8(-2x-4+6x)=6 | | 1.43+w=0.89 | | X-(x*.20)=104 | | -4b-6+2b=10 | | 24-4-2= | | 4x-100=400 | | -100p+99p+99=100 |

Equations solver categories