0.1x^2+0.4x-0.3=0

Simple and best practice solution for 0.1x^2+0.4x-0.3=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 0.1x^2+0.4x-0.3=0 equation:


Simplifying
0.1x2 + 0.4x + -0.3 = 0

Reorder the terms:
-0.3 + 0.4x + 0.1x2 = 0

Solving
-0.3 + 0.4x + 0.1x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.1'.
-3 + 4x + x2 = 0

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + 4x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + 4x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4x + x2 = 0 + 3
4x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
4x + x2 = 3

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 3 + 4

Reorder the terms:
4 + 4x + x2 = 3 + 4

Combine like terms: 3 + 4 = 7
4 + 4x + x2 = 7

Factor a perfect square on the left side:
(x + 2)(x + 2) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(x + 2) equal to 2.645751311 and -2.645751311.

Subproblem 1

x + 2 = 2.645751311 Simplifying x + 2 = 2.645751311 Reorder the terms: 2 + x = 2.645751311 Solving 2 + x = 2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 2.645751311 + -2 Combine like terms: 2 + -2 = 0 0 + x = 2.645751311 + -2 x = 2.645751311 + -2 Combine like terms: 2.645751311 + -2 = 0.645751311 x = 0.645751311 Simplifying x = 0.645751311

Subproblem 2

x + 2 = -2.645751311 Simplifying x + 2 = -2.645751311 Reorder the terms: 2 + x = -2.645751311 Solving 2 + x = -2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -2.645751311 + -2 Combine like terms: 2 + -2 = 0 0 + x = -2.645751311 + -2 x = -2.645751311 + -2 Combine like terms: -2.645751311 + -2 = -4.645751311 x = -4.645751311 Simplifying x = -4.645751311

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.645751311, -4.645751311}

See similar equations:

| 2(y-(5))=15 | | 2z+3y=-16 | | 100=-16t^2+200 | | 2z+3=-16 | | 15x^2+5xy-20y^2=0 | | Y=-2+11 | | y=2x^4-3x^3-9x^2-x+3 | | X^3-13x=-12 | | 100=-16t+200 | | 39-(-11)= | | -x+7y=9 | | 100=16t^2+200 | | 20x^3-84x^2+16x=0 | | 0.12(y-1)+0.14y=0.16y-0.01(30) | | 6.5(6h-3)=21h+25.5 | | 5x-1=7x-5-5 | | 5a^3b^3+-5a^3b^3= | | 2y-14=8y-2 | | (5a^3b^3)-(5a^3b^3+5ab^4)= | | 0=3f-24 | | 30=-5(12n) | | .50(8x-6)=1 | | 9x^2+15y^2=20 | | 45+135x=1125 | | 14n+28= | | 7+29=-4(4x-9) | | 7+29=-4(5x-9) | | (5X+29)+(5Y-9)=180 | | 0.8x-1=2.3x-16 | | 12-23*2=-34 | | -10+8p=-2(5-4p) | | 1=1-5a-7a |

Equations solver categories