-4x^2+6x+64=0

Simple and best practice solution for -4x^2+6x+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 -4x^2+6x+64=0 equation: 


Simplifying
-4x2 + 6x + 64 = 0

Reorder the terms:
64 + 6x + -4x2 = 0

Solving
64 + 6x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + 3x + -2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(32 + 3x + -2x2)' equal to zero and attempt to solve:

Simplifying
32 + 3x + -2x2 = 0

Solving
32 + 3x + -2x2 = 0

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

Divide each side by '-2'.
-16 + -1.5x + x2 = 0

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + -1.5x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + -1.5x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1.5x + x2 = 0 + 16
-1.5x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
-1.5x + x2 = 16

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 = 16 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = 16 + 0.5625

Combine like terms: 16 + 0.5625 = 16.5625
0.5625 + -1.5x + x2 = 16.5625

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = 16.5625

Calculate the square root of the right side: 4.069705149

Break this problem into two subproblems by setting 
(x + -0.75) equal to 4.069705149 and -4.069705149.


Subproblem 1
x + -0.75 = 4.069705149

Simplifying
x + -0.75 = 4.069705149

Reorder the terms:
-0.75 + x = 4.069705149

Solving
-0.75 + x = 4.069705149

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 = 4.069705149 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = 4.069705149 + 0.75
x = 4.069705149 + 0.75

Combine like terms: 4.069705149 + 0.75 = 4.819705149
x = 4.819705149

Simplifying
x = 4.819705149


Subproblem 2
x + -0.75 = -4.069705149

Simplifying
x + -0.75 = -4.069705149

Reorder the terms:
-0.75 + x = -4.069705149

Solving
-0.75 + x = -4.069705149

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 = -4.069705149 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = -4.069705149 + 0.75
x = -4.069705149 + 0.75

Combine like terms: -4.069705149 + 0.75 = -3.319705149
x = -3.319705149

Simplifying
x = -3.319705149


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.819705149, -3.319705149}
Solution
x = {4.819705149, -3.319705149}

See similar equations:

| 6+3b-6=-6 | | 3x(6+4)=2(10+5) | | x^5+3x^3-2=0 | | 4x-2(x-6)=3(x-1) | | 5(x+4)-(x+2)+8x+2= | | xsquared=4 | | 24x-12=24x+16-4 | | -35=-76 | | X+2+18=180 | | -.5x+6=8 | | 5x+10=4x+3 | | -4x-(2x+1)=14 | | 6-y=-9+2y | | 2x^3-21x^2+30x=0 | | -4x-8=3x-5+11x | | -20m-75=10m+25 | | a+1+3a=17 | | 8n+4=3 | | (-x+3)log(4)=(6x)log(3) | | 8-3m=-7 | | 4n/5=10 | | 16/3-14/3 | | 3x+y+70=180 | | 3/8y=-24 | | 16/3-14 | | n/13=11 | | 3(2x+5y)+4(x-2y)= | | (((13X3)-3)/3 | | 19=x/15 | | 5x+3(x+4)=25 | | .2-20=35 | | 77.6x=698.4 |

Equations solver categories