0.3x^2+0.5x-1.9=0

Simple and best practice solution for 0.3x^2+0.5x-1.9=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 0.3x^2+0.5x-1.9=0 equation: 


Simplifying
0.3x2 + 0.5x + -1.9 = 0

Reorder the terms:
-1.9 + 0.5x + 0.3x2 = 0

Solving
-1.9 + 0.5x + 0.3x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.3'.
-6.333333333 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '6.333333333' to each side of the equation.
-6.333333333 + 1.666666667x + 6.333333333 + x2 = 0 + 6.333333333

Reorder the terms:
-6.333333333 + 6.333333333 + 1.666666667x + x2 = 0 + 6.333333333

Combine like terms: -6.333333333 + 6.333333333 = 0.000000000
0.000000000 + 1.666666667x + x2 = 0 + 6.333333333
1.666666667x + x2 = 0 + 6.333333333

Combine like terms: 0 + 6.333333333 = 6.333333333
1.666666667x + x2 = 6.333333333

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = 6.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = 6.333333333 + 0.6944444447

Combine like terms: 6.333333333 + 0.6944444447 = 7.0277777777
0.6944444447 + 1.666666667x + x2 = 7.0277777777

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = 7.0277777777

Calculate the square root of the right side: 2.65099562

Break this problem into two subproblems by setting 
(x + 0.8333333335) equal to 2.65099562 and -2.65099562.


Subproblem 1
x + 0.8333333335 = 2.65099562

Simplifying
x + 0.8333333335 = 2.65099562

Reorder the terms:
0.8333333335 + x = 2.65099562

Solving
0.8333333335 + x = 2.65099562

Solving for variable 'x'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + x = 2.65099562 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x = 2.65099562 + -0.8333333335
x = 2.65099562 + -0.8333333335

Combine like terms: 2.65099562 + -0.8333333335 = 1.8176622865
x = 1.8176622865

Simplifying
x = 1.8176622865


Subproblem 2
x + 0.8333333335 = -2.65099562

Simplifying
x + 0.8333333335 = -2.65099562

Reorder the terms:
0.8333333335 + x = -2.65099562

Solving
0.8333333335 + x = -2.65099562

Solving for variable 'x'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + x = -2.65099562 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x = -2.65099562 + -0.8333333335
x = -2.65099562 + -0.8333333335

Combine like terms: -2.65099562 + -0.8333333335 = -3.4843289535
x = -3.4843289535

Simplifying
x = -3.4843289535


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.8176622865, -3.4843289535}

See similar equations:

| 42=2(4x-3) | | 5(3s+3)=150 | | 2(2x-1)-4=-26 | | -0.096x^2+4.8x=0 | | 8(2l+10)=144 | | 5(y-3)=9y-47 | | 2ax=2x-4 | | (y-176)(-8/19)=x | | x^5-13x^3+26x^2+82x+104=0 | | -5x+10=9x-18 | | 2k-4/-43 | | x^3+6x^2-95x-14=0 | | 50-20-15-9-6=1 | | 5(2x+3)=4x+24 | | 5x-20=5-5x | | -2h-28h-98=0 | | x^2-35x+76=0 | | 2x+19=-2x-1 | | 2x+x+5+2x+10=115 | | x-26=1 | | x(y+i)+y(x-i)=2x+2yi | | 2(5t-1)+t=10+t | | -sinx^2-2cosx=o | | 3ax=4x-3 | | 4x+(-9)=6x+(-13) | | x-10+2x+20=130 | | 2x^3-46x-4x=0 | | (3w-15)/((1/w)-(1/5)) | | 20y+3x-12-5yx=0 | | yx=yc | | 8ax=4x-8 | | 8x-13=10x+5 |

Equations solver categories