3x^2-5x-5=0

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


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

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

Solving
-5 + -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'.
-1.666666667 + -1.666666667x + x2 = 0

Move the constant term to the right:

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

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

Combine like terms: -1.666666667 + 1.666666667 = 0.000000000
0.000000000 + -1.666666667x + x2 = 0 + 1.666666667
-1.666666667x + x2 = 0 + 1.666666667

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

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 = 1.666666667 + 0.6944444447

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

Combine like terms: 1.666666667 + 0.6944444447 = 2.3611111117
0.6944444447 + -1.666666667x + x2 = 2.3611111117

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = 2.3611111117

Calculate the square root of the right side: 1.536590743

Break this problem into two subproblems by setting 
(x + -0.8333333335) equal to 1.536590743 and -1.536590743.


Subproblem 1
x + -0.8333333335 = 1.536590743

Simplifying
x + -0.8333333335 = 1.536590743

Reorder the terms:
-0.8333333335 + x = 1.536590743

Solving
-0.8333333335 + x = 1.536590743

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 = 1.536590743 + 0.8333333335

Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000
0.0000000000 + x = 1.536590743 + 0.8333333335
x = 1.536590743 + 0.8333333335

Combine like terms: 1.536590743 + 0.8333333335 = 2.3699240765
x = 2.3699240765

Simplifying
x = 2.3699240765


Subproblem 2
x + -0.8333333335 = -1.536590743

Simplifying
x + -0.8333333335 = -1.536590743

Reorder the terms:
-0.8333333335 + x = -1.536590743

Solving
-0.8333333335 + x = -1.536590743

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 = -1.536590743 + 0.8333333335

Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000
0.0000000000 + x = -1.536590743 + 0.8333333335
x = -1.536590743 + 0.8333333335

Combine like terms: -1.536590743 + 0.8333333335 = -0.7032574095
x = -0.7032574095

Simplifying
x = -0.7032574095


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.3699240765, -0.7032574095}

See similar equations:

| 12=-4x-6x-2 | | x+(28-x)=28 | | 7x^2+x-2=0 | | 3(x)-(5x)=4 | | 4x-28y=20 | | 4x^2-8x-9=0 | | -3(-9u+7)-5u=4(u-2)-7 | | 5(2x-3)+6=-35-3x | | 5x+4=2x+11 | | -6x^2-x+7= | | 3(w+5)=-2(8w-5)+4w | | 12x+96=20x-20 | | -2(w+1)=5w-30 | | 6x+24=-9(x-6) | | x^2+xy-y^2=0 | | 8w-21=2w-9 | | 5x^2+5x-5=0 | | 1=4(x-5)+4-3x | | 2u+5=4u+13 | | 6*3=27 | | 5x-4=-44 | | -4=x-x(-5) | | -4=x-men(-5) | | 119-u=176 | | 10y-1=7y+12 | | 6x+3x=8x+2 | | X^2+4.5x-5.0625=0 | | 8(z+2)=7z | | -x+6=2 | | 15=2x-6 | | 2(y-5)-7y=-30 | | s-5=7 |

Equations solver categories