3x^2+34x=440

Simple and best practice solution for 3x^2+34x=440 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 3x^2+34x=440 equation:


Simplifying
3x2 + 34x = 440

Reorder the terms:
34x + 3x2 = 440

Solving
34x + 3x2 = 440

Solving for variable 'x'.

Reorder the terms:
-440 + 34x + 3x2 = 440 + -440

Combine like terms: 440 + -440 = 0
-440 + 34x + 3x2 = 0

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

Divide each side by '3'.
-146.6666667 + 11.33333333x + x2 = 0

Move the constant term to the right:

Add '146.6666667' to each side of the equation.
-146.6666667 + 11.33333333x + 146.6666667 + x2 = 0 + 146.6666667

Reorder the terms:
-146.6666667 + 146.6666667 + 11.33333333x + x2 = 0 + 146.6666667

Combine like terms: -146.6666667 + 146.6666667 = 0.0000000
0.0000000 + 11.33333333x + x2 = 0 + 146.6666667
11.33333333x + x2 = 0 + 146.6666667

Combine like terms: 0 + 146.6666667 = 146.6666667
11.33333333x + x2 = 146.6666667

The x term is 11.33333333x.  Take half its coefficient (5.666666665).
Square it (32.11111109) and add it to both sides.

Add '32.11111109' to each side of the equation.
11.33333333x + 32.11111109 + x2 = 146.6666667 + 32.11111109

Reorder the terms:
32.11111109 + 11.33333333x + x2 = 146.6666667 + 32.11111109

Combine like terms: 146.6666667 + 32.11111109 = 178.77777779
32.11111109 + 11.33333333x + x2 = 178.77777779

Factor a perfect square on the left side:
(x + 5.666666665)(x + 5.666666665) = 178.77777779

Calculate the square root of the right side: 13.370780747

Break this problem into two subproblems by setting 
(x + 5.666666665) equal to 13.370780747 and -13.370780747.

Subproblem 1

x + 5.666666665 = 13.370780747 Simplifying x + 5.666666665 = 13.370780747 Reorder the terms: 5.666666665 + x = 13.370780747 Solving 5.666666665 + x = 13.370780747 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.666666665' to each side of the equation. 5.666666665 + -5.666666665 + x = 13.370780747 + -5.666666665 Combine like terms: 5.666666665 + -5.666666665 = 0.000000000 0.000000000 + x = 13.370780747 + -5.666666665 x = 13.370780747 + -5.666666665 Combine like terms: 13.370780747 + -5.666666665 = 7.704114082 x = 7.704114082 Simplifying x = 7.704114082

Subproblem 2

x + 5.666666665 = -13.370780747 Simplifying x + 5.666666665 = -13.370780747 Reorder the terms: 5.666666665 + x = -13.370780747 Solving 5.666666665 + x = -13.370780747 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.666666665' to each side of the equation. 5.666666665 + -5.666666665 + x = -13.370780747 + -5.666666665 Combine like terms: 5.666666665 + -5.666666665 = 0.000000000 0.000000000 + x = -13.370780747 + -5.666666665 x = -13.370780747 + -5.666666665 Combine like terms: -13.370780747 + -5.666666665 = -19.037447412 x = -19.037447412 Simplifying x = -19.037447412

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.704114082, -19.037447412}

See similar equations:

| 4a-7=a-5 | | 21x-15x-7=5 | | (7x/8)-(x-2)=12 | | -36+324= | | (1-6x+2u)(-3)= | | 0.15*0.23= | | 7x+8+5x+2+7x-1=180 | | -11x+x^2=-2+30 | | 8.2=2x-4 | | -5(-5x-v+6)= | | y=25(3)+200 | | 4n-3=16 | | 0.27*0.56= | | y=25(3)-200 | | 4h-7g+11g-h= | | 12-3x=4+(-4x) | | x^2-11x+214=0 | | (5x+4)+(4d+5)= | | 4K-5=2k-1 | | 8x-20=64 | | http://www.thelearningodyssey.com/Assess/DPT/QIEImagesStorage/AQ13A/AQ13AI_A1322_14_stem1_1.gif | | 7a-4=4(3a+1) | | 1+(P-1)=5(P+6) | | -7x-117=12x+130 | | -9-2m-m=8m-9 | | 16x^2-40x+100=0 | | x^2-10x+16=o | | X^4+14x^2-49=0 | | -9x-15=-8x+11 | | -(3u-2x-3)= | | t/8-8=8 | | -18-3x=6-4x |

Equations solver categories