2x^2+28x-1439804=0

Simple and best practice solution for 2x^2+28x-1439804=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-1439804=0 equation: 


Simplifying
2x2 + 28x + -1439804 = 0

Reorder the terms:
-1439804 + 28x + 2x2 = 0

Solving
-1439804 + 28x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-719902 + 14x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-719902 + 14x + x2)' equal to zero and attempt to solve:

Simplifying
-719902 + 14x + x2 = 0

Solving
-719902 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '719902' to each side of the equation.
-719902 + 14x + 719902 + x2 = 0 + 719902

Reorder the terms:
-719902 + 719902 + 14x + x2 = 0 + 719902

Combine like terms: -719902 + 719902 = 0
0 + 14x + x2 = 0 + 719902
14x + x2 = 0 + 719902

Combine like terms: 0 + 719902 = 719902
14x + x2 = 719902

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 = 719902 + 49

Reorder the terms:
49 + 14x + x2 = 719902 + 49

Combine like terms: 719902 + 49 = 719951
49 + 14x + x2 = 719951

Factor a perfect square on the left side:
(x + 7)(x + 7) = 719951

Calculate the square root of the right side: 848.499263406

Break this problem into two subproblems by setting 
(x + 7) equal to 848.499263406 and -848.499263406.


Subproblem 1
x + 7 = 848.499263406

Simplifying
x + 7 = 848.499263406

Reorder the terms:
7 + x = 848.499263406

Solving
7 + x = 848.499263406

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 = 848.499263406 + -7

Combine like terms: 7 + -7 = 0
0 + x = 848.499263406 + -7
x = 848.499263406 + -7

Combine like terms: 848.499263406 + -7 = 841.499263406
x = 841.499263406

Simplifying
x = 841.499263406


Subproblem 2
x + 7 = -848.499263406

Simplifying
x + 7 = -848.499263406

Reorder the terms:
7 + x = -848.499263406

Solving
7 + x = -848.499263406

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 = -848.499263406 + -7

Combine like terms: 7 + -7 = 0
0 + x = -848.499263406 + -7
x = -848.499263406 + -7

Combine like terms: -848.499263406 + -7 = -855.499263406
x = -855.499263406

Simplifying
x = -855.499263406


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {841.499263406, -855.499263406}
Solution
x = {841.499263406, -855.499263406}

See similar equations:

| -.5x+1.1x=18 | | y^3-5y^2-6y=0 | | 4z^3-8z^2-32z=0 | | .5x+1.14x=x+18 | | 6x^2+23x+15= | | .5x+1.1x=x+18 | | 4(4-x)=3(2+2x) | | 2x^2+28x-1004=0 | | Z^2+1.5z=10 | | .8x-.25x+6=.7x | | 9a^4-b^4= | | 4z^2-8=0 | | -9(x+2)+2x+5=8x+9 | | 0.5(x+2.8)-x=0.6+0.3 | | 7x+8x=975 | | y=-3(-4)+3 | | .2x-.5=.1x+8 | | a^4=256 | | 66+(6.23*200)+(12.7*74)-(6.8*29)=x | | 4x-3=3x-8 | | 11(x+3)=6[11-2(3-x)+8] | | (.5)(4x-8)=(x+2) | | 12x^6-24x^5+30x^4= | | x=8+-1y | | 7[3-(-2x-6)]=98x+315 | | y=15x^2+17x-4 | | 9x=180 | | 12-n/8=-1 | | 7=x+2 | | 26+17n=-42 | | 20x-30y=-50 | | 9x-(5x+1)-(2+8x-(7x-5))+9x=0 |

Equations solver categories