3x^2-23x-50=0

Simple and best practice solution for 3x^2-23x-50=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^2-23x-50=0 equation: 


Simplifying
3x2 + -23x + -50 = 0

Reorder the terms:
-50 + -23x + 3x2 = 0

Solving
-50 + -23x + 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'.
-16.66666667 + -7.666666667x + x2 = 0

Move the constant term to the right:

Add '16.66666667' to each side of the equation.
-16.66666667 + -7.666666667x + 16.66666667 + x2 = 0 + 16.66666667

Reorder the terms:
-16.66666667 + 16.66666667 + -7.666666667x + x2 = 0 + 16.66666667

Combine like terms: -16.66666667 + 16.66666667 = 0.00000000
0.00000000 + -7.666666667x + x2 = 0 + 16.66666667
-7.666666667x + x2 = 0 + 16.66666667

Combine like terms: 0 + 16.66666667 = 16.66666667
-7.666666667x + x2 = 16.66666667

The x term is -7.666666667x.  Take half its coefficient (-3.833333334).
Square it (14.69444445) and add it to both sides.

Add '14.69444445' to each side of the equation.
-7.666666667x + 14.69444445 + x2 = 16.66666667 + 14.69444445

Reorder the terms:
14.69444445 + -7.666666667x + x2 = 16.66666667 + 14.69444445

Combine like terms: 16.66666667 + 14.69444445 = 31.36111112
14.69444445 + -7.666666667x + x2 = 31.36111112

Factor a perfect square on the left side:
(x + -3.833333334)(x + -3.833333334) = 31.36111112

Calculate the square root of the right side: 5.600099206

Break this problem into two subproblems by setting 
(x + -3.833333334) equal to 5.600099206 and -5.600099206.


Subproblem 1
x + -3.833333334 = 5.600099206

Simplifying
x + -3.833333334 = 5.600099206

Reorder the terms:
-3.833333334 + x = 5.600099206

Solving
-3.833333334 + x = 5.600099206

Solving for variable 'x'.

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

Add '3.833333334' to each side of the equation.
-3.833333334 + 3.833333334 + x = 5.600099206 + 3.833333334

Combine like terms: -3.833333334 + 3.833333334 = 0.000000000
0.000000000 + x = 5.600099206 + 3.833333334
x = 5.600099206 + 3.833333334

Combine like terms: 5.600099206 + 3.833333334 = 9.43343254
x = 9.43343254

Simplifying
x = 9.43343254


Subproblem 2
x + -3.833333334 = -5.600099206

Simplifying
x + -3.833333334 = -5.600099206

Reorder the terms:
-3.833333334 + x = -5.600099206

Solving
-3.833333334 + x = -5.600099206

Solving for variable 'x'.

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

Add '3.833333334' to each side of the equation.
-3.833333334 + 3.833333334 + x = -5.600099206 + 3.833333334

Combine like terms: -3.833333334 + 3.833333334 = 0.000000000
0.000000000 + x = -5.600099206 + 3.833333334
x = -5.600099206 + 3.833333334

Combine like terms: -5.600099206 + 3.833333334 = -1.766765872
x = -1.766765872

Simplifying
x = -1.766765872


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.43343254, -1.766765872}

See similar equations:

| r^4=5r^3+24r^2 | | 3(4t-1)=47 | | 256b^2-100= | | 3-2w=42 | | 4-2(m-3)=-6m+8 | | 64r^2-121= | | -3(-5x+9)=-6x+3 | | 16-(-13)-9-(-5)= | | 3p+5p=7p+3 | | -3(-5+9)=-6x+3 | | 2t^2+-14t+3=3 | | X^2+3x+5= | | 3(2x-3)=6 | | 1.1x-4.8=0.4x-1.58 | | 15a^2-17ab-4b^2= | | c(5)=0.22+0.10(5) | | 5-x=-9 | | 27y^3+1=0 | | 2x+28=14 | | x=q(2+n) | | L=2(25)+11(12+2) | | -2(3x+8)=-7x(x-6)-16 | | 6p-5=4p+9 | | 6x+3=4x+w | | m=9(2+n) | | 5x+7=4x+19 | | 6.5=-3.1(z+4.3) | | -2(3x+8)=-7(x-6)-16 | | 10v^2-29v+10= | | 6(x-1.3)=9.3 | | 3a^3-48a=0 | | 2x+1.7+x+2.4=4x+0.5 |

Equations solver categories