3x^2+1.59x-0.63=0

Simple and best practice solution for 3x^2+1.59x-0.63=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+1.59x-0.63=0 equation: 


Simplifying
3x2 + 1.59x + -0.63 = 0

Reorder the terms:
-0.63 + 1.59x + 3x2 = 0

Solving
-0.63 + 1.59x + 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'.
-0.21 + 0.53x + x2 = 0

Move the constant term to the right:

Add '0.21' to each side of the equation.
-0.21 + 0.53x + 0.21 + x2 = 0 + 0.21

Reorder the terms:
-0.21 + 0.21 + 0.53x + x2 = 0 + 0.21

Combine like terms: -0.21 + 0.21 = 0.00
0.00 + 0.53x + x2 = 0 + 0.21
0.53x + x2 = 0 + 0.21

Combine like terms: 0 + 0.21 = 0.21
0.53x + x2 = 0.21

The x term is 0.53x.  Take half its coefficient (0.265).
Square it (0.070225) and add it to both sides.

Add '0.070225' to each side of the equation.
0.53x + 0.070225 + x2 = 0.21 + 0.070225

Reorder the terms:
0.070225 + 0.53x + x2 = 0.21 + 0.070225

Combine like terms: 0.21 + 0.070225 = 0.280225
0.070225 + 0.53x + x2 = 0.280225

Factor a perfect square on the left side:
(x + 0.265)(x + 0.265) = 0.280225

Calculate the square root of the right side: 0.529362825

Break this problem into two subproblems by setting 
(x + 0.265) equal to 0.529362825 and -0.529362825.


Subproblem 1
x + 0.265 = 0.529362825

Simplifying
x + 0.265 = 0.529362825

Reorder the terms:
0.265 + x = 0.529362825

Solving
0.265 + x = 0.529362825

Solving for variable 'x'.

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

Add '-0.265' to each side of the equation.
0.265 + -0.265 + x = 0.529362825 + -0.265

Combine like terms: 0.265 + -0.265 = 0.000
0.000 + x = 0.529362825 + -0.265
x = 0.529362825 + -0.265

Combine like terms: 0.529362825 + -0.265 = 0.264362825
x = 0.264362825

Simplifying
x = 0.264362825


Subproblem 2
x + 0.265 = -0.529362825

Simplifying
x + 0.265 = -0.529362825

Reorder the terms:
0.265 + x = -0.529362825

Solving
0.265 + x = -0.529362825

Solving for variable 'x'.

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

Add '-0.265' to each side of the equation.
0.265 + -0.265 + x = -0.529362825 + -0.265

Combine like terms: 0.265 + -0.265 = 0.000
0.000 + x = -0.529362825 + -0.265
x = -0.529362825 + -0.265

Combine like terms: -0.529362825 + -0.265 = -0.794362825
x = -0.794362825

Simplifying
x = -0.794362825


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.264362825, -0.794362825}

See similar equations:

| 6n-10=10n-15 | | 6x-132=x | | 3x^2*3x^2*3x^2= | | ln(4x+1)-ln^3=5 | | 5x-2x=3(4+3) | | 5+1.5(z+4)=3.5z-3 | | -7a+2=10 | | x*5(x+3)=27 | | 7/9x4/9 | | 1-k=-5-k | | ax+2by=c | | 5-6a=1-5a | | -43-4x=-7x+8 | | 2(3x+2)=4x+4 | | 4m=8/13 | | -5/8-8/-3 | | ln(2/x)=0 | | Log(x-1)-logx=1 | | solveBx+Hy=mforx | | f(x)=x^2+7+12 | | v+20=3v+10 | | (7y-10)=(9y+46) | | 5x=x+88 | | 7x(16-27)=13y(5x+18) | | 0=-16t^2+55t+138 | | 2/3÷1/2= | | d+n=2d+7 | | 5+-2y= | | X+7=6x+12 | | 16x-1=10x-7 | | 14(-9-44m)=42 | | 5((17/25)-(3/8)) |

Equations solver categories