8x^2-30x-18=0

Simple and best practice solution for 8x^2-30x-18=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 8x^2-30x-18=0 equation: 


Simplifying
8x2 + -30x + -18 = 0

Reorder the terms:
-18 + -30x + 8x2 = 0

Solving
-18 + -30x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -15x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -15x + 4x2)' equal to zero and attempt to solve:

Simplifying
-9 + -15x + 4x2 = 0

Solving
-9 + -15x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
-2.25 + -3.75x + x2 = 0

Move the constant term to the right:

Add '2.25' to each side of the equation.
-2.25 + -3.75x + 2.25 + x2 = 0 + 2.25

Reorder the terms:
-2.25 + 2.25 + -3.75x + x2 = 0 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
0.00 + -3.75x + x2 = 0 + 2.25
-3.75x + x2 = 0 + 2.25

Combine like terms: 0 + 2.25 = 2.25
-3.75x + x2 = 2.25

The x term is -3.75x.  Take half its coefficient (-1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
-3.75x + 3.515625 + x2 = 2.25 + 3.515625

Reorder the terms:
3.515625 + -3.75x + x2 = 2.25 + 3.515625

Combine like terms: 2.25 + 3.515625 = 5.765625
3.515625 + -3.75x + x2 = 5.765625

Factor a perfect square on the left side:
(x + -1.875)(x + -1.875) = 5.765625

Calculate the square root of the right side: 2.401171589

Break this problem into two subproblems by setting 
(x + -1.875) equal to 2.401171589 and -2.401171589.


Subproblem 1
x + -1.875 = 2.401171589

Simplifying
x + -1.875 = 2.401171589

Reorder the terms:
-1.875 + x = 2.401171589

Solving
-1.875 + x = 2.401171589

Solving for variable 'x'.

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

Add '1.875' to each side of the equation.
-1.875 + 1.875 + x = 2.401171589 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
0.000 + x = 2.401171589 + 1.875
x = 2.401171589 + 1.875

Combine like terms: 2.401171589 + 1.875 = 4.276171589
x = 4.276171589

Simplifying
x = 4.276171589


Subproblem 2
x + -1.875 = -2.401171589

Simplifying
x + -1.875 = -2.401171589

Reorder the terms:
-1.875 + x = -2.401171589

Solving
-1.875 + x = -2.401171589

Solving for variable 'x'.

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

Add '1.875' to each side of the equation.
-1.875 + 1.875 + x = -2.401171589 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
0.000 + x = -2.401171589 + 1.875
x = -2.401171589 + 1.875

Combine like terms: -2.401171589 + 1.875 = -0.526171589
x = -0.526171589

Simplifying
x = -0.526171589


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.276171589, -0.526171589}
Solution
x = {4.276171589, -0.526171589}

See similar equations:

| 248=-8(-4x-7) | | 10v+5=5(1+2v) | | log(7-6x)=0 | | 91=2x^2+3x+2 | | p2•p1/t1 | | 2(x-6)=35 | | (6n-7)(8n-5n+2n+1)= | | 5d-2d-7d= | | 0=3x+4x | | 5[4+7k]=20+7k | | 7/9-x/8=7/72 | | x+y+y=180 | | 5a-4-3a=14 | | 7x+9=11-6x | | v+1+4=11 | | 7y+8+10y-4+3x+4y=180 | | q+10=-31 | | -3x+6x=-6 | | 6p+7=25 | | 1/6=/10-1/15x | | 2n-8=-4 | | -6=2-2n-4 | | F(x)=1/4x-7 | | 2/3=1/6x | | .5x-4=x-7 | | -3(-4-6a)+6(2-a)=60 | | 4x+3+6x-3=180 | | 9=-3+k+2k | | .75c-7=65 | | 2/3(18-x)=8 | | -113=1+6(2a-3) | | -3+2s=9 |

Equations solver categories