-16x^2+32x+43=0

Simple and best practice solution for -16x^2+32x+43=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 -16x^2+32x+43=0 equation:


Simplifying
-16x2 + 32x + 43 = 0

Reorder the terms:
43 + 32x + -16x2 = 0

Solving
43 + 32x + -16x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
-2.6875 + -2x + x2 = 0

Move the constant term to the right:

Add '2.6875' to each side of the equation.
-2.6875 + -2x + 2.6875 + x2 = 0 + 2.6875

Reorder the terms:
-2.6875 + 2.6875 + -2x + x2 = 0 + 2.6875

Combine like terms: -2.6875 + 2.6875 = 0.0000
0.0000 + -2x + x2 = 0 + 2.6875
-2x + x2 = 0 + 2.6875

Combine like terms: 0 + 2.6875 = 2.6875
-2x + x2 = 2.6875

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 2.6875 + 1

Reorder the terms:
1 + -2x + x2 = 2.6875 + 1

Combine like terms: 2.6875 + 1 = 3.6875
1 + -2x + x2 = 3.6875

Factor a perfect square on the left side:
(x + -1)(x + -1) = 3.6875

Calculate the square root of the right side: 1.920286437

Break this problem into two subproblems by setting 
(x + -1) equal to 1.920286437 and -1.920286437.

Subproblem 1

x + -1 = 1.920286437 Simplifying x + -1 = 1.920286437 Reorder the terms: -1 + x = 1.920286437 Solving -1 + x = 1.920286437 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 1.920286437 + 1 Combine like terms: -1 + 1 = 0 0 + x = 1.920286437 + 1 x = 1.920286437 + 1 Combine like terms: 1.920286437 + 1 = 2.920286437 x = 2.920286437 Simplifying x = 2.920286437

Subproblem 2

x + -1 = -1.920286437 Simplifying x + -1 = -1.920286437 Reorder the terms: -1 + x = -1.920286437 Solving -1 + x = -1.920286437 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -1.920286437 + 1 Combine like terms: -1 + 1 = 0 0 + x = -1.920286437 + 1 x = -1.920286437 + 1 Combine like terms: -1.920286437 + 1 = -0.920286437 x = -0.920286437 Simplifying x = -0.920286437

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.920286437, -0.920286437}

See similar equations:

| x^2+16=55 | | 9x+7y+z=100 | | 70+2-y=22 | | X+3=x-20 | | 8+a+27=44 | | 0=2x^2+16x-10 | | (2x+y^2)(2y-4x-3y^2)=0 | | 4r+2/2+1=r+16 | | x+2.7=6.9 | | 2cos^2x+coax-1=0 | | 2+3v=8 | | (x-y)dx-2xdy=0 | | 1y=3x+1 | | (y-12)(2y+7)=0 | | 5a+11=31 | | -14n+6=-5 | | 4+2r=8 | | 12y-4=20 | | 11y-14=173 | | 16=35x+9 | | 9=(-5)-2n-5n | | 3x-(-5.8)=6.8 | | 1=-m-3/4+m+3/5 | | 7x+14=37 | | 15=10y+3x | | 15=10y+3y | | N=192 | | 7y^2+70y-4x^2-16x=177 | | 2x^2+3y^2-8x+12y-4=0 | | (7m-4n)(6m+10n)= | | 24+3a=36 | | -2x-10=-26 |

Equations solver categories