2x^2+28x-660=0

Simple and best practice solution for 2x^2+28x-660=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 2x^2+28x-660=0 equation: 


Simplifying
2x2 + 28x + -660 = 0

Reorder the terms:
-660 + 28x + 2x2 = 0

Solving
-660 + 28x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-330 + 14x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-330 + 14x + x2)' equal to zero and attempt to solve:

Simplifying
-330 + 14x + x2 = 0

Solving
-330 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '330' to each side of the equation.
-330 + 14x + 330 + x2 = 0 + 330

Reorder the terms:
-330 + 330 + 14x + x2 = 0 + 330

Combine like terms: -330 + 330 = 0
0 + 14x + x2 = 0 + 330
14x + x2 = 0 + 330

Combine like terms: 0 + 330 = 330
14x + x2 = 330

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = 330 + 49

Reorder the terms:
49 + 14x + x2 = 330 + 49

Combine like terms: 330 + 49 = 379
49 + 14x + x2 = 379

Factor a perfect square on the left side:
(x + 7)(x + 7) = 379

Calculate the square root of the right side: 19.467922334

Break this problem into two subproblems by setting 
(x + 7) equal to 19.467922334 and -19.467922334.


Subproblem 1
x + 7 = 19.467922334

Simplifying
x + 7 = 19.467922334

Reorder the terms:
7 + x = 19.467922334

Solving
7 + x = 19.467922334

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = 19.467922334 + -7

Combine like terms: 7 + -7 = 0
0 + x = 19.467922334 + -7
x = 19.467922334 + -7

Combine like terms: 19.467922334 + -7 = 12.467922334
x = 12.467922334

Simplifying
x = 12.467922334


Subproblem 2
x + 7 = -19.467922334

Simplifying
x + 7 = -19.467922334

Reorder the terms:
7 + x = -19.467922334

Solving
7 + x = -19.467922334

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = -19.467922334 + -7

Combine like terms: 7 + -7 = 0
0 + x = -19.467922334 + -7
x = -19.467922334 + -7

Combine like terms: -19.467922334 + -7 = -26.467922334
x = -26.467922334

Simplifying
x = -26.467922334


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.467922334, -26.467922334}
Solution
x = {12.467922334, -26.467922334}

See similar equations:

| 2-3(z+1)=20 | | 2-(4-7*(8-4)*9)+(-6+(-3+8))= | | -6-x/3=-5 | | -6+(-3)=14 | | 1.5x+2.5=2x+1 | | 3(x-4)+3x=2(x-10) | | 10*1/100*20*1/100*3/100 | | 1/2a=3/5a-5 | | 7r^3+49r^2+8r+56=0 | | 4x-2x+6xy+21x+(-9xy)= | | B+3b+18=74 | | 3x^3-8x^2+x=0 | | 3(6-2y)+y=8 | | -2=12(2)-17 | | y=4+0.2x | | 2x+3xy+4x+5xy+6z= | | 1.5x-2.5=2x+1 | | M(x)=x^4+3x^2-18 | | 6x-50=8 | | =x^4+3x^2-18 | | 11y+8y+40000=1920 | | 2x-1=9*x | | 2(0.33+1.33y)+3y=12 | | 6s=12+2s | | 8(v+9)=-9v-13 | | 1.2-0.12x=1.2x+0.12 | | 27ft=2106ft | | x/x-5-1=6 | | 27=2106 | | 5/c•d/3= | | 3u^2+4=-13u | | z+4y=8 |

Equations solver categories