-3x^2-5x+67.99=0

Simple and best practice solution for -3x^2-5x+67.99=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 -3x^2-5x+67.99=0 equation: 


Simplifying
-3x2 + -5x + 67.99 = 0

Reorder the terms:
67.99 + -5x + -3x2 = 0

Solving
67.99 + -5x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
-22.66333333 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '22.66333333' to each side of the equation.
-22.66333333 + 1.666666667x + 22.66333333 + x2 = 0 + 22.66333333

Reorder the terms:
-22.66333333 + 22.66333333 + 1.666666667x + x2 = 0 + 22.66333333

Combine like terms: -22.66333333 + 22.66333333 = 0.00000000
0.00000000 + 1.666666667x + x2 = 0 + 22.66333333
1.666666667x + x2 = 0 + 22.66333333

Combine like terms: 0 + 22.66333333 = 22.66333333
1.666666667x + x2 = 22.66333333

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = 22.66333333 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = 22.66333333 + 0.6944444447

Combine like terms: 22.66333333 + 0.6944444447 = 23.3577777747
0.6944444447 + 1.666666667x + x2 = 23.3577777747

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = 23.3577777747

Calculate the square root of the right side: 4.832988493

Break this problem into two subproblems by setting 
(x + 0.8333333335) equal to 4.832988493 and -4.832988493.


Subproblem 1
x + 0.8333333335 = 4.832988493

Simplifying
x + 0.8333333335 = 4.832988493

Reorder the terms:
0.8333333335 + x = 4.832988493

Solving
0.8333333335 + x = 4.832988493

Solving for variable 'x'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + x = 4.832988493 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x = 4.832988493 + -0.8333333335
x = 4.832988493 + -0.8333333335

Combine like terms: 4.832988493 + -0.8333333335 = 3.9996551595
x = 3.9996551595

Simplifying
x = 3.9996551595


Subproblem 2
x + 0.8333333335 = -4.832988493

Simplifying
x + 0.8333333335 = -4.832988493

Reorder the terms:
0.8333333335 + x = -4.832988493

Solving
0.8333333335 + x = -4.832988493

Solving for variable 'x'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + x = -4.832988493 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x = -4.832988493 + -0.8333333335
x = -4.832988493 + -0.8333333335

Combine like terms: -4.832988493 + -0.8333333335 = -5.6663218265
x = -5.6663218265

Simplifying
x = -5.6663218265


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.9996551595, -5.6663218265}

See similar equations:

| 2.4-43= | | y^2+y+4=0 | | 5(3a+1)=35 | | 3x^2-18x-50=0 | | g-h-4g-2h= | | z+17=22 | | f(x)=5x^2+5x | | (14x-23)-(6x-10)=0 | | (5z)(5z^4)= | | 9-3g=3 | | 1.9(x+3)=5.7 | | 16-3k=-18 | | 3(5x-12)=15x-12 | | 6x+21=5x+17 | | -3x+5+3x^2=0 | | -3(5x-4)=15x-12 | | (10x^5-4x^4+8x+1)-(9x^5-12x^4+7x+12)= | | -5(-4m-8)+2m=-26 | | -3(5x-12)=15x-12 | | (y-7)-(8y-9)= | | 4=(-2x)+26 | | 18-8x=2(4x-9) | | 2-2s=3/4s+13 | | 25-3r+2r=8 | | 2y-3x+8y-7x= | | 3x-13=8x+3 | | 1-7(4+2x)=-4-4x | | 13r-8=122 | | -5(x+5)=-10 | | -3/4x-4=-19 | | -0.9x+3(x-4)=10(x-5)+7 | | (6x-7y-3z)+(7z-3x-6y)= |

Equations solver categories