3x^2-26x+24=0

Simple and best practice solution for 3x^2-26x+24=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^2-26x+24=0 equation: 


Simplifying
3x2 + -26x + 24 = 0

Reorder the terms:
24 + -26x + 3x2 = 0

Solving
24 + -26x + 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'.
8 + -8.666666667x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -8.666666667x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -8.666666667x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -8.666666667x + x2 = 0 + -8
-8.666666667x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-8.666666667x + x2 = -8

The x term is -8.666666667x.  Take half its coefficient (-4.333333334).
Square it (18.77777778) and add it to both sides.

Add '18.77777778' to each side of the equation.
-8.666666667x + 18.77777778 + x2 = -8 + 18.77777778

Reorder the terms:
18.77777778 + -8.666666667x + x2 = -8 + 18.77777778

Combine like terms: -8 + 18.77777778 = 10.77777778
18.77777778 + -8.666666667x + x2 = 10.77777778

Factor a perfect square on the left side:
(x + -4.333333334)(x + -4.333333334) = 10.77777778

Calculate the square root of the right side: 3.282952601

Break this problem into two subproblems by setting 
(x + -4.333333334) equal to 3.282952601 and -3.282952601.


Subproblem 1
x + -4.333333334 = 3.282952601

Simplifying
x + -4.333333334 = 3.282952601

Reorder the terms:
-4.333333334 + x = 3.282952601

Solving
-4.333333334 + x = 3.282952601

Solving for variable 'x'.

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

Add '4.333333334' to each side of the equation.
-4.333333334 + 4.333333334 + x = 3.282952601 + 4.333333334

Combine like terms: -4.333333334 + 4.333333334 = 0.000000000
0.000000000 + x = 3.282952601 + 4.333333334
x = 3.282952601 + 4.333333334

Combine like terms: 3.282952601 + 4.333333334 = 7.616285935
x = 7.616285935

Simplifying
x = 7.616285935


Subproblem 2
x + -4.333333334 = -3.282952601

Simplifying
x + -4.333333334 = -3.282952601

Reorder the terms:
-4.333333334 + x = -3.282952601

Solving
-4.333333334 + x = -3.282952601

Solving for variable 'x'.

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

Add '4.333333334' to each side of the equation.
-4.333333334 + 4.333333334 + x = -3.282952601 + 4.333333334

Combine like terms: -4.333333334 + 4.333333334 = 0.000000000
0.000000000 + x = -3.282952601 + 4.333333334
x = -3.282952601 + 4.333333334

Combine like terms: -3.282952601 + 4.333333334 = 1.050380733
x = 1.050380733

Simplifying
x = 1.050380733


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.616285935, 1.050380733}

See similar equations:

| 5t-21+4t+16=180 | | x-5=1+3x | | 2x-6+5x=9x-14 | | 6x+18=5x+11 | | 3wx-5z=2zx+9 | | .2x=-1+2.5x | | 73-6=15 | | 4-(2q-10)-10q=-16 | | 2x^2-30x-2000=0 | | 54=16f | | 2(6-2)+7x=3(4-2) | | 7+2s=21 | | 221x^2-9x=0 | | 2x+3x-x+16=32 | | 4(x-10)=50+2x | | x=149 | | X+(-12)=(-8) | | 2m-13=-8m+2 | | 26-g=10-3g | | 1.5(25-5a)=4-a | | 5x+4-3y+5+2x-9= | | 28+3x=55 | | 10x+3(-2+4x)=7-x | | x=74 | | X^2-11x+4=6 | | 25x+30=-22-x | | -3x+8+4=45 | | 5x+17+3x=-8+3x | | n=30 | | 7-3n=9 | | 14x=266 | | 5(6x-7)=265 |

Equations solver categories