0.183x^2+0.015x-0.458=0

Simple and best practice solution for 0.183x^2+0.015x-0.458=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 0.183x^2+0.015x-0.458=0 equation: 


Simplifying
0.183x2 + 0.015x + -0.458 = 0

Reorder the terms:
-0.458 + 0.015x + 0.183x2 = 0

Solving
-0.458 + 0.015x + 0.183x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.183'.
-2.50273224 + 0.08196721311x + x2 = 0

Move the constant term to the right:

Add '2.50273224' to each side of the equation.
-2.50273224 + 0.08196721311x + 2.50273224 + x2 = 0 + 2.50273224

Reorder the terms:
-2.50273224 + 2.50273224 + 0.08196721311x + x2 = 0 + 2.50273224

Combine like terms: -2.50273224 + 2.50273224 = 0.00000000
0.00000000 + 0.08196721311x + x2 = 0 + 2.50273224
0.08196721311x + x2 = 0 + 2.50273224

Combine like terms: 0 + 2.50273224 = 2.50273224
0.08196721311x + x2 = 2.50273224

The x term is 0.08196721311x.  Take half its coefficient (0.04098360656).
Square it (0.001679656007) and add it to both sides.

Add '0.001679656007' to each side of the equation.
0.08196721311x + 0.001679656007 + x2 = 2.50273224 + 0.001679656007

Reorder the terms:
0.001679656007 + 0.08196721311x + x2 = 2.50273224 + 0.001679656007

Combine like terms: 2.50273224 + 0.001679656007 = 2.504411896007
0.001679656007 + 0.08196721311x + x2 = 2.504411896007

Factor a perfect square on the left side:
(x + 0.04098360656)(x + 0.04098360656) = 2.504411896007

Calculate the square root of the right side: 1.582533379

Break this problem into two subproblems by setting 
(x + 0.04098360656) equal to 1.582533379 and -1.582533379.


Subproblem 1
x + 0.04098360656 = 1.582533379

Simplifying
x + 0.04098360656 = 1.582533379

Reorder the terms:
0.04098360656 + x = 1.582533379

Solving
0.04098360656 + x = 1.582533379

Solving for variable 'x'.

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

Add '-0.04098360656' to each side of the equation.
0.04098360656 + -0.04098360656 + x = 1.582533379 + -0.04098360656

Combine like terms: 0.04098360656 + -0.04098360656 = 0.00000000000
0.00000000000 + x = 1.582533379 + -0.04098360656
x = 1.582533379 + -0.04098360656

Combine like terms: 1.582533379 + -0.04098360656 = 1.54154977244
x = 1.54154977244

Simplifying
x = 1.54154977244


Subproblem 2
x + 0.04098360656 = -1.582533379

Simplifying
x + 0.04098360656 = -1.582533379

Reorder the terms:
0.04098360656 + x = -1.582533379

Solving
0.04098360656 + x = -1.582533379

Solving for variable 'x'.

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

Add '-0.04098360656' to each side of the equation.
0.04098360656 + -0.04098360656 + x = -1.582533379 + -0.04098360656

Combine like terms: 0.04098360656 + -0.04098360656 = 0.00000000000
0.00000000000 + x = -1.582533379 + -0.04098360656
x = -1.582533379 + -0.04098360656

Combine like terms: -1.582533379 + -0.04098360656 = -1.62351698556
x = -1.62351698556

Simplifying
x = -1.62351698556


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.54154977244, -1.62351698556}

See similar equations:

| 0.50x+0.10(30)=0.25(84) | | 8+3n+6= | | 4.5+x=7 | | (-5)(-2)(7)= | | 5-3(-7)= | | 5y-3y=-30 | | 7w=4w+21 | | -3n-9n= | | 1-p+p+1= | | 4x-2=4(x+9) | | 305689000.00-15000000.00x=2085000000.00+5550000.00x | | 2085000000.00+5550000.00n=2500000000.00 | | 5-3xx=-7 | | 5=a/3+2/3 | | 4x^2+40x-96=80 | | 2085000000.00+5550000.00=2500000000.00 | | 5=a+2/3 | | x^2-18x+81=18 | | -2/3z+4=8 | | x+2.5x=140 | | 2/3=a/6+1 | | 50+n-40/4=58 | | x^2+8x+16=-18 | | x+.06x=477 | | Y/2=28 | | 3x+x=14 | | x=48+(x.2) | | X(X-2)+3=5-7X | | E/-25=20 | | a/3-2=-7 | | x^2+4x-52=0 | | 84-3x=12-9x |

Equations solver categories