10x^2-18-16x=0

Simple and best practice solution for 10x^2-18-16x=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 10x^2-18-16x=0 equation: 


Simplifying
10x2 + -18 + -16x = 0

Reorder the terms:
-18 + -16x + 10x2 = 0

Solving
-18 + -16x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -8x + 5x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -8x + 5x2)' equal to zero and attempt to solve:

Simplifying
-9 + -8x + 5x2 = 0

Solving
-9 + -8x + 5x2 = 0

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

Divide each side by '5'.
-1.8 + -1.6x + x2 = 0

Move the constant term to the right:

Add '1.8' to each side of the equation.
-1.8 + -1.6x + 1.8 + x2 = 0 + 1.8

Reorder the terms:
-1.8 + 1.8 + -1.6x + x2 = 0 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -1.6x + x2 = 0 + 1.8
-1.6x + x2 = 0 + 1.8

Combine like terms: 0 + 1.8 = 1.8
-1.6x + x2 = 1.8

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = 1.8 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = 1.8 + 0.64

Combine like terms: 1.8 + 0.64 = 2.44
0.64 + -1.6x + x2 = 2.44

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = 2.44

Calculate the square root of the right side: 1.562049935

Break this problem into two subproblems by setting 
(x + -0.8) equal to 1.562049935 and -1.562049935.


Subproblem 1
x + -0.8 = 1.562049935

Simplifying
x + -0.8 = 1.562049935

Reorder the terms:
-0.8 + x = 1.562049935

Solving
-0.8 + x = 1.562049935

Solving for variable 'x'.

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + x = 1.562049935 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + x = 1.562049935 + 0.8
x = 1.562049935 + 0.8

Combine like terms: 1.562049935 + 0.8 = 2.362049935
x = 2.362049935

Simplifying
x = 2.362049935


Subproblem 2
x + -0.8 = -1.562049935

Simplifying
x + -0.8 = -1.562049935

Reorder the terms:
-0.8 + x = -1.562049935

Solving
-0.8 + x = -1.562049935

Solving for variable 'x'.

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + x = -1.562049935 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + x = -1.562049935 + 0.8
x = -1.562049935 + 0.8

Combine like terms: -1.562049935 + 0.8 = -0.762049935
x = -0.762049935

Simplifying
x = -0.762049935


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.362049935, -0.762049935}
Solution
x = {2.362049935, -0.762049935}

See similar equations:

| 3(2x-5)-4=6-(3x-4) | | 3(2e-7)=3 | | 4(-4t^2+26t+14)=0 | | 4x-16=4(x-4) | | 2(x-3)=6x+5-2(-3x-2) | | 24x^2-11x-1=0 | | -2x-6=-3y | | -11=3x+x-3 | | 41=12n+5 | | 6+4(x+3)=15 | | -5x+10=3x+10 | | 4x+4=6x-20 | | x=-1-7(-1) | | 11m+13=3+23 | | 4x^2-100x+49=0 | | f(x)=10x+4 | | 3x-(2x-8)+a=2(x-5) | | 2*sin(5x)=-1 | | 2*x*x+8x-6x-24=0 | | 6x-8x+x= | | -4x-9=7x-9 | | -6x-8x+x= | | 24(2x-1)=8(x-2)+2x | | c+2-35=2+c+150 | | 0.4+28.4=50 | | 5(3a+1)= | | 5x^7=12 | | 23x-y=124 | | 2sin(5x)+1=0 | | 34=-5x+3(x+6) | | 2x-50=-122 | | 4x-1+6=4x+4 |

Equations solver categories