3x^2+7x-55=0

Simple and best practice solution for 3x^2+7x-55=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+7x-55=0 equation: 


Simplifying
3x2 + 7x + -55 = 0

Reorder the terms:
-55 + 7x + 3x2 = 0

Solving
-55 + 7x + 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'.
-18.33333333 + 2.333333333x + x2 = 0

Move the constant term to the right:

Add '18.33333333' to each side of the equation.
-18.33333333 + 2.333333333x + 18.33333333 + x2 = 0 + 18.33333333

Reorder the terms:
-18.33333333 + 18.33333333 + 2.333333333x + x2 = 0 + 18.33333333

Combine like terms: -18.33333333 + 18.33333333 = 0.00000000
0.00000000 + 2.333333333x + x2 = 0 + 18.33333333
2.333333333x + x2 = 0 + 18.33333333

Combine like terms: 0 + 18.33333333 = 18.33333333
2.333333333x + x2 = 18.33333333

The x term is 2.333333333x.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333x + 1.361111112 + x2 = 18.33333333 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333x + x2 = 18.33333333 + 1.361111112

Combine like terms: 18.33333333 + 1.361111112 = 19.694444442
1.361111112 + 2.333333333x + x2 = 19.694444442

Factor a perfect square on the left side:
(x + 1.166666667)(x + 1.166666667) = 19.694444442

Calculate the square root of the right side: 4.437842318

Break this problem into two subproblems by setting 
(x + 1.166666667) equal to 4.437842318 and -4.437842318.


Subproblem 1
x + 1.166666667 = 4.437842318

Simplifying
x + 1.166666667 = 4.437842318

Reorder the terms:
1.166666667 + x = 4.437842318

Solving
1.166666667 + x = 4.437842318

Solving for variable 'x'.

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

Add '-1.166666667' to each side of the equation.
1.166666667 + -1.166666667 + x = 4.437842318 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + x = 4.437842318 + -1.166666667
x = 4.437842318 + -1.166666667

Combine like terms: 4.437842318 + -1.166666667 = 3.271175651
x = 3.271175651

Simplifying
x = 3.271175651


Subproblem 2
x + 1.166666667 = -4.437842318

Simplifying
x + 1.166666667 = -4.437842318

Reorder the terms:
1.166666667 + x = -4.437842318

Solving
1.166666667 + x = -4.437842318

Solving for variable 'x'.

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

Add '-1.166666667' to each side of the equation.
1.166666667 + -1.166666667 + x = -4.437842318 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + x = -4.437842318 + -1.166666667
x = -4.437842318 + -1.166666667

Combine like terms: -4.437842318 + -1.166666667 = -5.604508985
x = -5.604508985

Simplifying
x = -5.604508985


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.271175651, -5.604508985}

See similar equations:

| -4-x=4x-40-3x | | 2q=3kforq | | 15+6x=34+-6x | | 3y+5=4y-2 | | (9x+10)-(7x-6)= | | 132(3x+9)=180 | | 50=500*r*2 | | 6-m-6-8=0 | | 2=.4p | | 4y+5=8x-3 | | 7x-7+4x-3=2x+8 | | 5(2y+2)-6(3y+5)+5=57 | | 5+3*7+(5-3)/(7-3)= | | B-7=23 | | (-3x+7)+(3x-7)= | | 25-55+(85-65)=-10 | | 2x+12y=96 | | 10-5h+2=3 | | 2n+12=-10n+54 | | 5x-58=2x-10 | | 2(-1)-4=6 | | 16x+10=y | | x-14y=-6 | | 5x^2+19x-4x=0 | | 5x+24=2(X-9)-3x | | n-2-9=-5 | | 12=2u-2 | | 5(r-2)+8=27 | | 4m+6n=12 | | 34=5b+9 | | 11x-8=-5-3 | | .4x+2=10 |

Equations solver categories