8x^2+12x-64=0

Simple and best practice solution for 8x^2+12x-64=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+12x-64=0 equation: 


Simplifying
8x2 + 12x + -64 = 0

Reorder the terms:
-64 + 12x + 8x2 = 0

Solving
-64 + 12x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-16 + 3x + 2x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-16 + 3x + 2x2)' equal to zero and attempt to solve:

Simplifying
-16 + 3x + 2x2 = 0

Solving
-16 + 3x + 2x2 = 0

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

Divide each side by '2'.
-8 + 1.5x + x2 = 0

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + 1.5x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + 1.5x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 1.5x + x2 = 0 + 8
1.5x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
1.5x + x2 = 8

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = 8 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = 8 + 0.5625

Combine like terms: 8 + 0.5625 = 8.5625
0.5625 + 1.5x + x2 = 8.5625

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 8.5625

Calculate the square root of the right side: 2.926174978

Break this problem into two subproblems by setting 
(x + 0.75) equal to 2.926174978 and -2.926174978.


Subproblem 1
x + 0.75 = 2.926174978

Simplifying
x + 0.75 = 2.926174978

Reorder the terms:
0.75 + x = 2.926174978

Solving
0.75 + x = 2.926174978

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = 2.926174978 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 2.926174978 + -0.75
x = 2.926174978 + -0.75

Combine like terms: 2.926174978 + -0.75 = 2.176174978
x = 2.176174978

Simplifying
x = 2.176174978


Subproblem 2
x + 0.75 = -2.926174978

Simplifying
x + 0.75 = -2.926174978

Reorder the terms:
0.75 + x = -2.926174978

Solving
0.75 + x = -2.926174978

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = -2.926174978 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = -2.926174978 + -0.75
x = -2.926174978 + -0.75

Combine like terms: -2.926174978 + -0.75 = -3.676174978
x = -3.676174978

Simplifying
x = -3.676174978


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.176174978, -3.676174978}
Solution
x = {2.176174978, -3.676174978}

See similar equations:

| -0.02x^2+1.2x+6.1=0 | | (x-1)(x-2)-(4x-1)(3x+5)-6=8x-11(x-3)(x+7) | | 3(3x-3)+2x=112 | | 8(4v+4)= | | 16v+32= | | 32v+16= | | 0.4(0.1m-0.1)+0.5=-0.1(0.1-0.3m) | | 5(h-2)=-30 | | 8(ln(x+1))=0 | | 4(8v+4)= | | 3+-5=x+2 | | -3(-8+3h)+-5= | | 12.5x+3.4y-6=23+2 | | -16+31=-3(x+9) | | b/6-2 | | (-8+3h)*-3+-5= | | 7(-6b+6)=-6(1+3b) | | 5x^2+-45=0 | | 20+6u=10u | | -3(-3h+6h+-8)-5= | | 35x=50x | | -9h+19= | | x+lgx+4=0 | | 2x+2y=305 | | 7=6-4r+5r | | 17x-4=11x-34 | | 35x-7y=49fory | | -3(3h+-8)-5= | | 10u=28+6u | | 5(x-2)=5x | | 2(2z+4)= | | 20x^4-11x+3=0 |

Equations solver categories