3x^2+29x-4.7=0

Simple and best practice solution for 3x^2+29x-4.7=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 3x^2+29x-4.7=0 equation: 


Simplifying
3x2 + 29x + -4.7 = 0

Reorder the terms:
-4.7 + 29x + 3x2 = 0

Solving
-4.7 + 29x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-1.566666667 + 9.666666667x + x2 = 0

Move the constant term to the right:

Add '1.566666667' to each side of the equation.
-1.566666667 + 9.666666667x + 1.566666667 + x2 = 0 + 1.566666667

Reorder the terms:
-1.566666667 + 1.566666667 + 9.666666667x + x2 = 0 + 1.566666667

Combine like terms: -1.566666667 + 1.566666667 = 0.000000000
0.000000000 + 9.666666667x + x2 = 0 + 1.566666667
9.666666667x + x2 = 0 + 1.566666667

Combine like terms: 0 + 1.566666667 = 1.566666667
9.666666667x + x2 = 1.566666667

The x term is 9.666666667x.  Take half its coefficient (4.833333334).
Square it (23.36111112) and add it to both sides.

Add '23.36111112' to each side of the equation.
9.666666667x + 23.36111112 + x2 = 1.566666667 + 23.36111112

Reorder the terms:
23.36111112 + 9.666666667x + x2 = 1.566666667 + 23.36111112

Combine like terms: 1.566666667 + 23.36111112 = 24.927777787
23.36111112 + 9.666666667x + x2 = 24.927777787

Factor a perfect square on the left side:
(x + 4.833333334)(x + 4.833333334) = 24.927777787

Calculate the square root of the right side: 4.992772555

Break this problem into two subproblems by setting 
(x + 4.833333334) equal to 4.992772555 and -4.992772555.


Subproblem 1
x + 4.833333334 = 4.992772555

Simplifying
x + 4.833333334 = 4.992772555

Reorder the terms:
4.833333334 + x = 4.992772555

Solving
4.833333334 + x = 4.992772555

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4.833333334' to each side of the equation.
4.833333334 + -4.833333334 + x = 4.992772555 + -4.833333334

Combine like terms: 4.833333334 + -4.833333334 = 0.000000000
0.000000000 + x = 4.992772555 + -4.833333334
x = 4.992772555 + -4.833333334

Combine like terms: 4.992772555 + -4.833333334 = 0.159439221
x = 0.159439221

Simplifying
x = 0.159439221


Subproblem 2
x + 4.833333334 = -4.992772555

Simplifying
x + 4.833333334 = -4.992772555

Reorder the terms:
4.833333334 + x = -4.992772555

Solving
4.833333334 + x = -4.992772555

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4.833333334' to each side of the equation.
4.833333334 + -4.833333334 + x = -4.992772555 + -4.833333334

Combine like terms: 4.833333334 + -4.833333334 = 0.000000000
0.000000000 + x = -4.992772555 + -4.833333334
x = -4.992772555 + -4.833333334

Combine like terms: -4.992772555 + -4.833333334 = -9.826105889
x = -9.826105889

Simplifying
x = -9.826105889


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.159439221, -9.826105889}

See similar equations:

| (9-4K)x=y | | cos*y=-3.6 | | cosy=-3.6 | | -43-3x=5x+5 | | 2mx-5b=y | | 5b+2mx=y | | -8(x-3)-26=-2 | | 3(3)-y=3 | | 4x^4-8x^3+12x= | | p(x)=2x^4-20x^3+70x^2-100x+48tem | | 3x-y=2y+2 | | y=2mx-5b | | -16x^2+1000x+50=2000 | | 2x-6x=8 | | 3x-(0)=3 | | x+11=3x-y | | 6x-x^3-x^2= | | y=28x^2+2x-1 | | 70=23x | | -9+2y+11=3(-9+2y)-y | | 11=4a+1 | | 4x+-7=5x+4 | | 68=5x+18x | | 68=5x+6y | | 11x+3=36 | | 7x-17=7x-12 | | 0.25(x+40)-0.07(x-20)=0.6 | | 8x-66=2x | | 4x-(0)=4 | | 6b+5-b=6(b-9)+7 | | 7n-3=-6-2n | | 23+10y=26+4y |

Equations solver categories