8x^2-2x-80=0

Simple and best practice solution for 8x^2-2x-80=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-80=0 equation: 


Simplifying
8x2 + -2x + -80 = 0

Reorder the terms:
-80 + -2x + 8x2 = 0

Solving
-80 + -2x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + -1x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-40 + -1x + 4x2)' equal to zero and attempt to solve:

Simplifying
-40 + -1x + 4x2 = 0

Solving
-40 + -1x + 4x2 = 0

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

Divide each side by '4'.
-10 + -0.25x + x2 = 0

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + -0.25x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + -0.25x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -0.25x + x2 = 0 + 10
-0.25x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
-0.25x + x2 = 10

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 = 10 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = 10 + 0.015625

Combine like terms: 10 + 0.015625 = 10.015625
0.015625 + -0.25x + x2 = 10.015625

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = 10.015625

Calculate the square root of the right side: 3.164747225

Break this problem into two subproblems by setting 
(x + -0.125) equal to 3.164747225 and -3.164747225.


Subproblem 1
x + -0.125 = 3.164747225

Simplifying
x + -0.125 = 3.164747225

Reorder the terms:
-0.125 + x = 3.164747225

Solving
-0.125 + x = 3.164747225

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 = 3.164747225 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + x = 3.164747225 + 0.125
x = 3.164747225 + 0.125

Combine like terms: 3.164747225 + 0.125 = 3.289747225
x = 3.289747225

Simplifying
x = 3.289747225


Subproblem 2
x + -0.125 = -3.164747225

Simplifying
x + -0.125 = -3.164747225

Reorder the terms:
-0.125 + x = -3.164747225

Solving
-0.125 + x = -3.164747225

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 = -3.164747225 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + x = -3.164747225 + 0.125
x = -3.164747225 + 0.125

Combine like terms: -3.164747225 + 0.125 = -3.039747225
x = -3.039747225

Simplifying
x = -3.039747225


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.289747225, -3.039747225}
Solution
x = {3.289747225, -3.039747225}

See similar equations:

| x^2+2.5*x-3=0.5 | | ((54x^2)/(4x^2))-(81/16)x=0 | | 14-54x^2-51x=0 | | If(a-b)(a-b)=16then | | 49x-24-4x=11+45x-35 | | 14+54x^2+51x=0 | | 17x+22(250)=y | | 8x+4(3.5)=10 | | 3s(s+2)=9 | | -5/3x-2/5=1/3x-1 | | (54x^2/4x^2)-(81/16)x=0 | | 4x+16(x-1.25)=35 | | 14+54x^2-51x=0 | | 8x+(3.5)=10 | | 7-36b+5b^2=0 | | 7/3u-2/5=-7u-1/5 | | 12/15=60/x | | 17x+22(250)=4998 | | 1/2f-2=1/7f | | -x+-1=3x+-5 | | (X-6)/x=0.35 | | -34-15-72x^2=0 | | 5b^2-36b+7=0 | | -4(2h-4)=5(h-2) | | 5x-3y=-10 | | -5.6/-5.6 | | (a-b)(a-b)=16 | | 3a+4=7a+8 | | 5(y+2)=10 | | -34+15+72x^2=0 | | 3/14times8/15 | | 32+16y=16+12y |

Equations solver categories