0=-16x^2+83x+4

Simple and best practice solution for 0=-16x^2+83x+4 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 0=-16x^2+83x+4 equation:


Simplifying
0 = -16x2 + 83x + 4

Reorder the terms:
0 = 4 + 83x + -16x2

Solving
0 = 4 + 83x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + -83x + 16x2 = 4 + 83x + -16x2 + -4 + -83x + 16x2

Reorder the terms:
-4 + -83x + 16x2 = 4 + -4 + 83x + -83x + -16x2 + 16x2

Combine like terms: 4 + -4 = 0
-4 + -83x + 16x2 = 0 + 83x + -83x + -16x2 + 16x2
-4 + -83x + 16x2 = 83x + -83x + -16x2 + 16x2

Combine like terms: 83x + -83x = 0
-4 + -83x + 16x2 = 0 + -16x2 + 16x2
-4 + -83x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-4 + -83x + 16x2 = 0

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

Divide each side by '16'.
-0.25 + -5.1875x + x2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + -5.1875x + 0.25 + x2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + -5.1875x + x2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -5.1875x + x2 = 0 + 0.25
-5.1875x + x2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
-5.1875x + x2 = 0.25

The x term is -5.1875x.  Take half its coefficient (-2.59375).
Square it (6.727539063) and add it to both sides.

Add '6.727539063' to each side of the equation.
-5.1875x + 6.727539063 + x2 = 0.25 + 6.727539063

Reorder the terms:
6.727539063 + -5.1875x + x2 = 0.25 + 6.727539063

Combine like terms: 0.25 + 6.727539063 = 6.977539063
6.727539063 + -5.1875x + x2 = 6.977539063

Factor a perfect square on the left side:
(x + -2.59375)(x + -2.59375) = 6.977539063

Calculate the square root of the right side: 2.641503182

Break this problem into two subproblems by setting 
(x + -2.59375) equal to 2.641503182 and -2.641503182.

Subproblem 1

x + -2.59375 = 2.641503182 Simplifying x + -2.59375 = 2.641503182 Reorder the terms: -2.59375 + x = 2.641503182 Solving -2.59375 + x = 2.641503182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.59375' to each side of the equation. -2.59375 + 2.59375 + x = 2.641503182 + 2.59375 Combine like terms: -2.59375 + 2.59375 = 0.00000 0.00000 + x = 2.641503182 + 2.59375 x = 2.641503182 + 2.59375 Combine like terms: 2.641503182 + 2.59375 = 5.235253182 x = 5.235253182 Simplifying x = 5.235253182

Subproblem 2

x + -2.59375 = -2.641503182 Simplifying x + -2.59375 = -2.641503182 Reorder the terms: -2.59375 + x = -2.641503182 Solving -2.59375 + x = -2.641503182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.59375' to each side of the equation. -2.59375 + 2.59375 + x = -2.641503182 + 2.59375 Combine like terms: -2.59375 + 2.59375 = 0.00000 0.00000 + x = -2.641503182 + 2.59375 x = -2.641503182 + 2.59375 Combine like terms: -2.641503182 + 2.59375 = -0.047753182 x = -0.047753182 Simplifying x = -0.047753182

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.235253182, -0.047753182}

See similar equations:

| f(-1)=2x^4+2x-5 | | 9x^2-54x+4y^2+8y=-49 | | 10(s-10)=-198 | | 7w/4=28 | | 125=0.5t | | 18=6/7y | | 4(a-7)=20 | | 14=t-(44) | | 1=0.1x-0.3x-4 | | y=120-25x | | 4=0.1x-0.6x-3 | | 2(-2+5x)=-74 | | 1/4(70x-30(X-2)) | | 1/4(70x-30(X-2 | | 7/8-4/5 | | 3(3x+1)=-5(5x-1)+3x | | 5=3q-4 | | -3(7-7x)=210 | | 10-(4z-2)=9-5z | | 8x-2x^2+5=0 | | 5x+10(5+x)=550 | | x+6=-2x+36 | | X-5=4-4/5x | | x/2=7/x-5/2 | | d/4-9= | | 10x+10(x+5)=550 | | 8-9=10 | | 3x-36x=0 | | 4x-6=-2+5x | | x^2-3x+y^2+2y=0 | | 6t-8=8 | | x^2-kx+y^2+2y=0 |

Equations solver categories