3x^2-24x-30=0

Simple and best practice solution for 3x^2-24x-30=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^2-24x-30=0 equation: 


Simplifying
3x2 + -24x + -30 = 0

Reorder the terms:
-30 + -24x + 3x2 = 0

Solving
-30 + -24x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + -8x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-10 + -8x + x2)' equal to zero and attempt to solve:

Simplifying
-10 + -8x + x2 = 0

Solving
-10 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + -8x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + -8x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -8x + x2 = 0 + 10
-8x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
-8x + x2 = 10

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 10 + 16

Reorder the terms:
16 + -8x + x2 = 10 + 16

Combine like terms: 10 + 16 = 26
16 + -8x + x2 = 26

Factor a perfect square on the left side:
(x + -4)(x + -4) = 26

Calculate the square root of the right side: 5.099019514

Break this problem into two subproblems by setting 
(x + -4) equal to 5.099019514 and -5.099019514.


Subproblem 1
x + -4 = 5.099019514

Simplifying
x + -4 = 5.099019514

Reorder the terms:
-4 + x = 5.099019514

Solving
-4 + x = 5.099019514

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 5.099019514 + 4

Combine like terms: -4 + 4 = 0
0 + x = 5.099019514 + 4
x = 5.099019514 + 4

Combine like terms: 5.099019514 + 4 = 9.099019514
x = 9.099019514

Simplifying
x = 9.099019514


Subproblem 2
x + -4 = -5.099019514

Simplifying
x + -4 = -5.099019514

Reorder the terms:
-4 + x = -5.099019514

Solving
-4 + x = -5.099019514

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -5.099019514 + 4

Combine like terms: -4 + 4 = 0
0 + x = -5.099019514 + 4
x = -5.099019514 + 4

Combine like terms: -5.099019514 + 4 = -1.099019514
x = -1.099019514

Simplifying
x = -1.099019514


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.099019514, -1.099019514}
Solution
x = {9.099019514, -1.099019514}

See similar equations:

| 3x^2-24x-30= | | 0.30+0.32x= | | ex=5.9 | | y^2+15y+57=1 | | X*0.32= | | 3n^2-6=17n | | X^4+5x^3=0 | | 8a=(4a-9) | | X^4+5x^3= | | -2(j+6)=j+3+2j | | -5x=16-4y | | 5x+3(-3x+7)=57 | | Y+y=2y-4 | | 3t+5=-4 | | N-23=-23 | | 13m+2(2+2m)=-1 | | 7x^2+9x-11= | | g(g+10)=-6 | | s^2+4s-9=0 | | 16+4y=-3x | | 18r^2-22r-42=0 | | 16+4y=-3 | | -12-17=-10+17 | | N-4=38 | | h^2-10h-4=0 | | y(y+6)=2 | | t^2-12t+10=0 | | -7n+16n=8n | | 3(c+1)=2c+7 | | b-(-5)=17 | | 4c=-144 | | 8n+3=19 |

Equations solver categories