x^2-18x+40=0

Simple and best practice solution for x^2-18x+40=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^2-18x+40=0 equation:


Simplifying
x2 + -18x + 40 = 0

Reorder the terms:
40 + -18x + x2 = 0

Solving
40 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -18x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + -18x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -18x + x2 = 0 + -40
-18x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-18x + x2 = -40

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = -40 + 81

Reorder the terms:
81 + -18x + x2 = -40 + 81

Combine like terms: -40 + 81 = 41
81 + -18x + x2 = 41

Factor a perfect square on the left side:
(x + -9)(x + -9) = 41

Calculate the square root of the right side: 6.403124237

Break this problem into two subproblems by setting 
(x + -9) equal to 6.403124237 and -6.403124237.

Subproblem 1

x + -9 = 6.403124237 Simplifying x + -9 = 6.403124237 Reorder the terms: -9 + x = 6.403124237 Solving -9 + x = 6.403124237 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 6.403124237 + 9 Combine like terms: -9 + 9 = 0 0 + x = 6.403124237 + 9 x = 6.403124237 + 9 Combine like terms: 6.403124237 + 9 = 15.403124237 x = 15.403124237 Simplifying x = 15.403124237

Subproblem 2

x + -9 = -6.403124237 Simplifying x + -9 = -6.403124237 Reorder the terms: -9 + x = -6.403124237 Solving -9 + x = -6.403124237 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = -6.403124237 + 9 Combine like terms: -9 + 9 = 0 0 + x = -6.403124237 + 9 x = -6.403124237 + 9 Combine like terms: -6.403124237 + 9 = 2.596875763 x = 2.596875763 Simplifying x = 2.596875763

Solution

The solution to the problem is based on the solutions from the subproblems. x = {15.403124237, 2.596875763}

See similar equations:

| 15(t-3)+6t=7(3t+2)-11 | | -2(4y+8)= | | 6+3r-5=7r+4-3r | | e=(2+.5y)+2 | | -9x-2=-7-2.2 | | 6[2-(2x-5)]=2(6-3x) | | 0.2x-6=3 | | 3(8-6n)=40 | | 9+2n-6=9n+8-6n | | (3w+5)(w+3)=7 | | 7(x+4)=7(x+7) | | x^3-69x+180=0 | | 6x*4=3*2x+10 | | 3-8b=4b-3 | | 12(x-1)=-6(2-x)+6x | | (4c-2)(5c-4)= | | x^2-8x+16+y^2-2y+1=10 | | 5c-15=10 | | r^2-20r+42=0 | | 5(5x-10)=25(x-2) | | (5a^4b+a^3b^2)+(6a^3b^2-5a^4b)= | | T+t+3=23 | | 8n^2+8n-50=-2 | | 0.3(x+90)+1.1=76 | | 7v^2-21v+48=0 | | 5x-47=0 | | 7v^2-21+48=0 | | 7(t-5)+7t=7(2t+4)-10 | | 3x^2-8-x^2=0 | | 3x^2-12x+9=0 | | w^2+8w-20=0 | | 7x^2-x-60=0 |

Equations solver categories