8x^2-2x-30=0

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


Simplifying
8x2 + -2x + -30 = 0

Reorder the terms:
-30 + -2x + 8x2 = 0

Solving
-30 + -2x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -1x + 4x2) = 0

Ignore the factor 2.

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

Simplifying
-15 + -1x + 4x2 = 0

Solving
-15 + -1x + 4x2 = 0

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

Divide each side by '4'.
-3.75 + -0.25x + x2 = 0

Move the constant term to the right:

Add '3.75' to each side of the equation.
-3.75 + -0.25x + 3.75 + x2 = 0 + 3.75

Reorder the terms:
-3.75 + 3.75 + -0.25x + x2 = 0 + 3.75

Combine like terms: -3.75 + 3.75 = 0.00
0.00 + -0.25x + x2 = 0 + 3.75
-0.25x + x2 = 0 + 3.75

Combine like terms: 0 + 3.75 = 3.75
-0.25x + x2 = 3.75

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = 3.75 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = 3.75 + 0.015625

Combine like terms: 3.75 + 0.015625 = 3.765625
0.015625 + -0.25x + x2 = 3.765625

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = 3.765625

Calculate the square root of the right side: 1.940521837

Break this problem into two subproblems by setting 
(x + -0.125) equal to 1.940521837 and -1.940521837.


Subproblem 1
x + -0.125 = 1.940521837

Simplifying
x + -0.125 = 1.940521837

Reorder the terms:
-0.125 + x = 1.940521837

Solving
-0.125 + x = 1.940521837

Solving for variable 'x'.

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

Add '0.125' to each side of the equation.
-0.125 + 0.125 + x = 1.940521837 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + x = 1.940521837 + 0.125
x = 1.940521837 + 0.125

Combine like terms: 1.940521837 + 0.125 = 2.065521837
x = 2.065521837

Simplifying
x = 2.065521837


Subproblem 2
x + -0.125 = -1.940521837

Simplifying
x + -0.125 = -1.940521837

Reorder the terms:
-0.125 + x = -1.940521837

Solving
-0.125 + x = -1.940521837

Solving for variable 'x'.

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

Add '0.125' to each side of the equation.
-0.125 + 0.125 + x = -1.940521837 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + x = -1.940521837 + 0.125
x = -1.940521837 + 0.125

Combine like terms: -1.940521837 + 0.125 = -1.815521837
x = -1.815521837

Simplifying
x = -1.815521837


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.065521837, -1.815521837}
Solution
x = {2.065521837, -1.815521837}

See similar equations:

| 2(3x+7)=26 | | -8+13=4b-8-3b | | 0.50x+0.35(70)=28.5 | | -(3y-8)+11= | | 9+12i=3x+3yi | | 5p+2p= | | (13b-3)-6(2b+1)=-7 | | -4(7n-5)+2n= | | 8-X=2+1.5X | | 4(x+4)-9= | | -5x=20-8x | | n+2n=180 | | 3.4=-13.6+(3.4c)+1.7c | | 6(z+2)= | | -33-6x=7-10x | | 5(6y)= | | 3x+x-6x= | | 4a^2+3a-10=0 | | 11.32a=-39.62 | | -5=12+m | | 4a*2+3a-10=0 | | 4.25y=0.85 | | x-y=d | | 2x+5y=120 | | 8+4(2c-1)= | | -6(4q+5)= | | 4x+y=60 | | 12(3a)= | | 5y+18=4y-32 | | 2(5z-1)-2(z+7)=3(z+1) | | 2c+9c+7c-5= | | 9x^3-81x=0 |

Equations solver categories