x^2+7x-1=9

Simple and best practice solution for x^2+7x-1=9 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-1=9 equation:


Simplifying
x2 + 7x + -1 = 9

Reorder the terms:
-1 + 7x + x2 = 9

Solving
-1 + 7x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
-1 + -9 + 7x + x2 = 9 + -9

Combine like terms: -1 + -9 = -10
-10 + 7x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-10 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + 7x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + 7x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 7x + x2 = 0 + 10
7x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
7x + x2 = 10

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 = 10 + 12.25

Reorder the terms:
12.25 + 7x + x2 = 10 + 12.25

Combine like terms: 10 + 12.25 = 22.25
12.25 + 7x + x2 = 22.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 22.25

Calculate the square root of the right side: 4.716990566

Break this problem into two subproblems by setting 
(x + 3.5) equal to 4.716990566 and -4.716990566.

Subproblem 1

x + 3.5 = 4.716990566 Simplifying x + 3.5 = 4.716990566 Reorder the terms: 3.5 + x = 4.716990566 Solving 3.5 + x = 4.716990566 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 = 4.716990566 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 4.716990566 + -3.5 x = 4.716990566 + -3.5 Combine like terms: 4.716990566 + -3.5 = 1.216990566 x = 1.216990566 Simplifying x = 1.216990566

Subproblem 2

x + 3.5 = -4.716990566 Simplifying x + 3.5 = -4.716990566 Reorder the terms: 3.5 + x = -4.716990566 Solving 3.5 + x = -4.716990566 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 = -4.716990566 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -4.716990566 + -3.5 x = -4.716990566 + -3.5 Combine like terms: -4.716990566 + -3.5 = -8.216990566 x = -8.216990566 Simplifying x = -8.216990566

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.216990566, -8.216990566}

See similar equations:

| 2522x-1950=26[97x-75] | | 5/8x/7/16 | | x+2(x-3)=4 | | 3cosx=1-sinx | | 7s^2-5s-3=0 | | 8x+31x-4=0 | | 4y+7=90 | | 0=16t^2+150 | | 2y^2+2y-12=0 | | 25-n=13 | | 2k^2+10k+35=0 | | 3[5x+8]=15x-6 | | -5m(4n-10n^2)= | | 2X^2-15x-7= | | 4y^2-12y+1=0 | | 4a^2-16a+14=0 | | 4r^2-16=84 | | A=2.4b | | 7x+1-5y=9 | | 6w+8w^2-w= | | (x^6-5x^4-x^2)/x^2 | | -9-6=9x+3-8x | | Y^2-196= | | 2/1=11 | | 2s-5s=27 | | 4a=8-1(a+7) | | 3±i√42/3 | | 10x+9=10x+1 | | 6d-5.5=2d-2.6 | | 8(x+4)-19= | | 2x+5t=10 | | -6c+9=4c-3 |

Equations solver categories