x^2+7x-3468=0

Simple and best practice solution for x^2+7x-3468=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 x^2+7x-3468=0 equation:


Simplifying
x2 + 7x + -3468 = 0

Reorder the terms:
-3468 + 7x + x2 = 0

Solving
-3468 + 7x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '3468' to each side of the equation.
-3468 + 7x + 3468 + x2 = 0 + 3468

Reorder the terms:
-3468 + 3468 + 7x + x2 = 0 + 3468

Combine like terms: -3468 + 3468 = 0
0 + 7x + x2 = 0 + 3468
7x + x2 = 0 + 3468

Combine like terms: 0 + 3468 = 3468
7x + x2 = 3468

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = 3468 + 12.25

Reorder the terms:
12.25 + 7x + x2 = 3468 + 12.25

Combine like terms: 3468 + 12.25 = 3480.25
12.25 + 7x + x2 = 3480.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 3480.25

Calculate the square root of the right side: 58.993643725

Break this problem into two subproblems by setting 
(x + 3.5) equal to 58.993643725 and -58.993643725.

Subproblem 1

x + 3.5 = 58.993643725 Simplifying x + 3.5 = 58.993643725 Reorder the terms: 3.5 + x = 58.993643725 Solving 3.5 + x = 58.993643725 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 58.993643725 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 58.993643725 + -3.5 x = 58.993643725 + -3.5 Combine like terms: 58.993643725 + -3.5 = 55.493643725 x = 55.493643725 Simplifying x = 55.493643725

Subproblem 2

x + 3.5 = -58.993643725 Simplifying x + 3.5 = -58.993643725 Reorder the terms: 3.5 + x = -58.993643725 Solving 3.5 + x = -58.993643725 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -58.993643725 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -58.993643725 + -3.5 x = -58.993643725 + -3.5 Combine like terms: -58.993643725 + -3.5 = -62.493643725 x = -62.493643725 Simplifying x = -62.493643725

Solution

The solution to the problem is based on the solutions from the subproblems. x = {55.493643725, -62.493643725}

See similar equations:

| x-1/15=2/5 | | -32=7X | | 72-4x=-12 | | x^2/x-4=16/x=4 | | 14-3-x=3+5x | | P-2-3=-(1+3p)-3(p-8) | | x2/x-4=16/x-4 | | 2/3xt=22 | | 5(x+3)+9+3x=20 | | x2/x-4=16/x=4 | | 26x=-17 | | 4x^2-150x+1224=0 | | x^3-18x^2+77=0 | | -a/85 | | Y=9x^2+4 | | 1/2z= | | 4/5(8-2x) | | X/14=-1/2 | | 4/5(8-2c) | | x+3=-12+8 | | 2=2-3x | | 9(m-2)=m-40 | | 17=9-6/5(y) | | 5x=22+3 | | 3(4x+8)=12(6x-3)+2 | | -(12x-6)=12+6 | | 1+3v+10= | | n^2-3n=-40 | | -4x+17=35 | | -4(8v-6)+5v=-6(-4+8v) | | y=cot^2(sint) | | 4x-6y=23 |

Equations solver categories