x*x+20x=71

Simple and best practice solution for x*x+20x=71 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*x+20x=71 equation:


Simplifying
x * x + 20x = 71

Multiply x * x
x2 + 20x = 71

Reorder the terms:
20x + x2 = 71

Solving
20x + x2 = 71

Solving for variable 'x'.

Reorder the terms:
-71 + 20x + x2 = 71 + -71

Combine like terms: 71 + -71 = 0
-71 + 20x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '71' to each side of the equation.
-71 + 20x + 71 + x2 = 0 + 71

Reorder the terms:
-71 + 71 + 20x + x2 = 0 + 71

Combine like terms: -71 + 71 = 0
0 + 20x + x2 = 0 + 71
20x + x2 = 0 + 71

Combine like terms: 0 + 71 = 71
20x + x2 = 71

The x term is 20x.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20x + 100 + x2 = 71 + 100

Reorder the terms:
100 + 20x + x2 = 71 + 100

Combine like terms: 71 + 100 = 171
100 + 20x + x2 = 171

Factor a perfect square on the left side:
(x + 10)(x + 10) = 171

Calculate the square root of the right side: 13.076696831

Break this problem into two subproblems by setting 
(x + 10) equal to 13.076696831 and -13.076696831.

Subproblem 1

x + 10 = 13.076696831 Simplifying x + 10 = 13.076696831 Reorder the terms: 10 + x = 13.076696831 Solving 10 + x = 13.076696831 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 13.076696831 + -10 Combine like terms: 10 + -10 = 0 0 + x = 13.076696831 + -10 x = 13.076696831 + -10 Combine like terms: 13.076696831 + -10 = 3.076696831 x = 3.076696831 Simplifying x = 3.076696831

Subproblem 2

x + 10 = -13.076696831 Simplifying x + 10 = -13.076696831 Reorder the terms: 10 + x = -13.076696831 Solving 10 + x = -13.076696831 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = -13.076696831 + -10 Combine like terms: 10 + -10 = 0 0 + x = -13.076696831 + -10 x = -13.076696831 + -10 Combine like terms: -13.076696831 + -10 = -23.076696831 x = -23.076696831 Simplifying x = -23.076696831

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.076696831, -23.076696831}

See similar equations:

| 6x+4y+5x= | | xx+20x=71 | | x+20x=71 | | 9(4z-4)= | | 4x+20+52=116 | | 3(c-5)+3=2+c-14 | | 3x+1(x+1)=24 | | 6y-2+52=116 | | 7/3(3w+2)=-21 | | 6y-2=4x+20 | | 3x+7(3x+4)= | | 13-2(2x+1)=1 | | 2-8=A-1+11 | | -16x^2+50=0 | | (8x+14)+(2x-4)=180 | | 7x-3(2-5x)=8x | | 2n^2-16n+23=7 | | 4x^4+12x^2= | | 7x-7=7x-35 | | 7n-150+10n=20n-80-4n | | x(x+4)=196 | | -2x+(-4)=-2x+1 | | x-3x+2x=-3-1+4 | | x^3+3x=14 | | 3x-5+11=17 | | -7q=-37*8-1.6q | | -7q=-37*8-1.6 | | 81x^2-5-20=0 | | 25y^2x^2+40yx^2+16x^2= | | (-3x+y+6)dx+(x+y+2)dy=0 | | 714=(25+4x)(21+2x) | | (-3y+y+6)dx+(x+y+2)dy=0 |

Equations solver categories