8x^2-2x-90=0

Simple and best practice solution for 8x^2-2x-90=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-90=0 equation: 


Simplifying
8x2 + -2x + -90 = 0

Reorder the terms:
-90 + -2x + 8x2 = 0

Solving
-90 + -2x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -1x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-45 + -1x + 4x2)' equal to zero and attempt to solve:

Simplifying
-45 + -1x + 4x2 = 0

Solving
-45 + -1x + 4x2 = 0

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

Divide each side by '4'.
-11.25 + -0.25x + x2 = 0

Move the constant term to the right:

Add '11.25' to each side of the equation.
-11.25 + -0.25x + 11.25 + x2 = 0 + 11.25

Reorder the terms:
-11.25 + 11.25 + -0.25x + x2 = 0 + 11.25

Combine like terms: -11.25 + 11.25 = 0.00
0.00 + -0.25x + x2 = 0 + 11.25
-0.25x + x2 = 0 + 11.25

Combine like terms: 0 + 11.25 = 11.25
-0.25x + x2 = 11.25

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 = 11.25 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = 11.25 + 0.015625

Combine like terms: 11.25 + 0.015625 = 11.265625
0.015625 + -0.25x + x2 = 11.265625

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = 11.265625

Calculate the square root of the right side: 3.356430396

Break this problem into two subproblems by setting 
(x + -0.125) equal to 3.356430396 and -3.356430396.


Subproblem 1
x + -0.125 = 3.356430396

Simplifying
x + -0.125 = 3.356430396

Reorder the terms:
-0.125 + x = 3.356430396

Solving
-0.125 + x = 3.356430396

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 = 3.356430396 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + x = 3.356430396 + 0.125
x = 3.356430396 + 0.125

Combine like terms: 3.356430396 + 0.125 = 3.481430396
x = 3.481430396

Simplifying
x = 3.481430396


Subproblem 2
x + -0.125 = -3.356430396

Simplifying
x + -0.125 = -3.356430396

Reorder the terms:
-0.125 + x = -3.356430396

Solving
-0.125 + x = -3.356430396

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 = -3.356430396 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + x = -3.356430396 + 0.125
x = -3.356430396 + 0.125

Combine like terms: -3.356430396 + 0.125 = -3.231430396
x = -3.231430396

Simplifying
x = -3.231430396


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.481430396, -3.231430396}
Solution
x = {3.481430396, -3.231430396}

See similar equations:

| 2*-6+5= | | 91/4-53/7 | | 8x+6(x-1)=3(4x-1) | | -3x^3+27x^2-60x=0 | | 28X^2+56X+21=0 | | -4x^3+96x^2-576x=0 | | x^4-3x^3-x^2-27x+90=0 | | x^4+8x^3+22x^2+24x+10=0 | | a+31.5=-2.5 | | -2x^2-4=-20 | | 3x-2(3x+1/2)=1 | | (x+3)(x^2-2x+3)= | | 3(2x-5)=2(x-6) | | 7/11p-11=p+33 | | 4(a+2)=14-2 | | 2(x-4)+5x=x-15 | | 22/3/11/11 | | y+(-16)=20 | | 19=4(3+2p) | | y=-16x^2+48x | | 12x+6y=12 | | 3(x+1)=4(x-6)+(x+7) | | 11-u=-7 | | 5(3x+1)=7(x-2)-9(5-x) | | 5p-2=2p+7 | | -4x^3-72x^2-320x=0 | | 6(x+1)-4(x-5)=3(x-7)-4(x-2) | | 2x^2-2-24=0 | | 5(4x-3)+3(2x-4)=2(12x+5) | | 8x=4(21-x) | | -4x^3+32x^2+132x=0 | | 7a^9-49a^5+35a^2= |

Equations solver categories