43x^2+x=118

Simple and best practice solution for 43x^2+x=118 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 43x^2+x=118 equation:


Simplifying
43x2 + x = 118

Reorder the terms:
x + 43x2 = 118

Solving
x + 43x2 = 118

Solving for variable 'x'.

Reorder the terms:
-118 + x + 43x2 = 118 + -118

Combine like terms: 118 + -118 = 0
-118 + x + 43x2 = 0

Begin completing the square.  Divide all terms by
43 the coefficient of the squared term: 

Divide each side by '43'.
-2.744186047 + 0.02325581395x + x2 = 0

Move the constant term to the right:

Add '2.744186047' to each side of the equation.
-2.744186047 + 0.02325581395x + 2.744186047 + x2 = 0 + 2.744186047

Reorder the terms:
-2.744186047 + 2.744186047 + 0.02325581395x + x2 = 0 + 2.744186047

Combine like terms: -2.744186047 + 2.744186047 = 0.000000000
0.000000000 + 0.02325581395x + x2 = 0 + 2.744186047
0.02325581395x + x2 = 0 + 2.744186047

Combine like terms: 0 + 2.744186047 = 2.744186047
0.02325581395x + x2 = 2.744186047

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.02325581395x + 0.25 + x2 = 2.744186047 + 0.25

Reorder the terms:
0.25 + 0.02325581395x + x2 = 2.744186047 + 0.25

Combine like terms: 2.744186047 + 0.25 = 2.994186047
0.25 + 0.02325581395x + x2 = 2.994186047

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 2.994186047

Calculate the square root of the right side: 1.73037165

Break this problem into two subproblems by setting 
(x + 0.5) equal to 1.73037165 and -1.73037165.

Subproblem 1

x + 0.5 = 1.73037165 Simplifying x + 0.5 = 1.73037165 Reorder the terms: 0.5 + x = 1.73037165 Solving 0.5 + x = 1.73037165 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 1.73037165 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.73037165 + -0.5 x = 1.73037165 + -0.5 Combine like terms: 1.73037165 + -0.5 = 1.23037165 x = 1.23037165 Simplifying x = 1.23037165

Subproblem 2

x + 0.5 = -1.73037165 Simplifying x + 0.5 = -1.73037165 Reorder the terms: 0.5 + x = -1.73037165 Solving 0.5 + x = -1.73037165 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -1.73037165 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.73037165 + -0.5 x = -1.73037165 + -0.5 Combine like terms: -1.73037165 + -0.5 = -2.23037165 x = -2.23037165 Simplifying x = -2.23037165

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.23037165, -2.23037165}

See similar equations:

| 11x^4+43x^2+x=118 | | (2ab-2)/(ab-2) | | Lox+(81)=2 | | 16600=5p/2 | | 11x^4-43x^2+x=118 | | x^5-11x^4-43x^2+x=118 | | 5(-3-2)-(x-3)=-4(4x+3)+13 | | 19*9= | | 3x^2-27x+36=0 | | Logx+1(81)=2 | | 5p/2 | | 7p/3 | | 3y-24=-32+7y | | (5p)/2 | | X-0.6=9.15 | | X/=10 | | X+0.05x=10 | | 12-1/3u=-2 | | 4z/2z=27 | | 8+9-10x+20x=27 | | (x+3)*5=(8x+3) | | (6-y)(5y+3)=0 | | 10x+5x+1=31 | | f(x+f(y))=f(x+y)+f(y) | | 20/8=50/t | | 14/10=m/45 | | log(3)(x-1)+log(9)(x-1)=3 | | P=18-1.5Q | | F(x)=-13x^2+14x+1 | | A-B+5=0 | | 3x+3=225 | | 0=(x-2)(x-2)(x-4-i)(x-4+i) |

Equations solver categories