x^2+19x=179

Simple and best practice solution for x^2+19x=179 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+19x=179 equation:


Simplifying
x2 + 19x = 179

Reorder the terms:
19x + x2 = 179

Solving
19x + x2 = 179

Solving for variable 'x'.

Reorder the terms:
-179 + 19x + x2 = 179 + -179

Combine like terms: 179 + -179 = 0
-179 + 19x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '179' to each side of the equation.
-179 + 19x + 179 + x2 = 0 + 179

Reorder the terms:
-179 + 179 + 19x + x2 = 0 + 179

Combine like terms: -179 + 179 = 0
0 + 19x + x2 = 0 + 179
19x + x2 = 0 + 179

Combine like terms: 0 + 179 = 179
19x + x2 = 179

The x term is 19x.  Take half its coefficient (9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
19x + 90.25 + x2 = 179 + 90.25

Reorder the terms:
90.25 + 19x + x2 = 179 + 90.25

Combine like terms: 179 + 90.25 = 269.25
90.25 + 19x + x2 = 269.25

Factor a perfect square on the left side:
(x + 9.5)(x + 9.5) = 269.25

Calculate the square root of the right side: 16.408839081

Break this problem into two subproblems by setting 
(x + 9.5) equal to 16.408839081 and -16.408839081.

Subproblem 1

x + 9.5 = 16.408839081 Simplifying x + 9.5 = 16.408839081 Reorder the terms: 9.5 + x = 16.408839081 Solving 9.5 + x = 16.408839081 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5' to each side of the equation. 9.5 + -9.5 + x = 16.408839081 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + x = 16.408839081 + -9.5 x = 16.408839081 + -9.5 Combine like terms: 16.408839081 + -9.5 = 6.908839081 x = 6.908839081 Simplifying x = 6.908839081

Subproblem 2

x + 9.5 = -16.408839081 Simplifying x + 9.5 = -16.408839081 Reorder the terms: 9.5 + x = -16.408839081 Solving 9.5 + x = -16.408839081 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5' to each side of the equation. 9.5 + -9.5 + x = -16.408839081 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + x = -16.408839081 + -9.5 x = -16.408839081 + -9.5 Combine like terms: -16.408839081 + -9.5 = -25.908839081 x = -25.908839081 Simplifying x = -25.908839081

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.908839081, -25.908839081}

See similar equations:

| 2pi=100 | | 31.22=x+0.4(x) | | x/9=0.1 | | LogaA^6/B^3 | | 31.22=x+0.5(x) | | x^2+8x=90 | | 2x+5+3x-18=180 | | 1/2x^2-x=0 | | 7x+whenx=9 | | 8-3(2x-4)=5+3x-4 | | y=1-4(-0.25) | | -8.09=-11.65 | | -2=y | | 3x+20+6x+25=180 | | 2/3=13/x | | 3+4x=1-4x | | Sin(7x)-sin(5x)=cos(6x) | | -16x^2+144x+288=0 | | 3/5(4x-5)+4.5=1/4x-9.25 | | 7x-3(2x-4)=-3x+6(1-4x)-4 | | (2h+3)(4-h)= | | 11x^2-4x=12 | | 9k+1=44 | | 5-2540=6590 | | 1250v^7y^3/20v^5y^5 | | 1/2x-7=8 | | X-3(-1)=2+3(-1) | | 1833+p=7584 | | 24=2(4x-3)+2x | | 11x^2-4b=12 | | 7x-3(2x-4)=-3x+6(1-x)-4 | | (F/4)-4=1 |

Equations solver categories