0.1x^2+8x-50=0

Simple and best practice solution for 0.1x^2+8x-50=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+8x-50=0 equation:


Simplifying
0.1x2 + 8x + -50 = 0

Reorder the terms:
-50 + 8x + 0.1x2 = 0

Solving
-50 + 8x + 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'.
-500 + 80x + x2 = 0

Move the constant term to the right:

Add '500' to each side of the equation.
-500 + 80x + 500 + x2 = 0 + 500

Reorder the terms:
-500 + 500 + 80x + x2 = 0 + 500

Combine like terms: -500 + 500 = 0
0 + 80x + x2 = 0 + 500
80x + x2 = 0 + 500

Combine like terms: 0 + 500 = 500
80x + x2 = 500

The x term is 80x.  Take half its coefficient (40).
Square it (1600) and add it to both sides.

Add '1600' to each side of the equation.
80x + 1600 + x2 = 500 + 1600

Reorder the terms:
1600 + 80x + x2 = 500 + 1600

Combine like terms: 500 + 1600 = 2100
1600 + 80x + x2 = 2100

Factor a perfect square on the left side:
(x + 40)(x + 40) = 2100

Calculate the square root of the right side: 45.82575695

Break this problem into two subproblems by setting 
(x + 40) equal to 45.82575695 and -45.82575695.

Subproblem 1

x + 40 = 45.82575695 Simplifying x + 40 = 45.82575695 Reorder the terms: 40 + x = 45.82575695 Solving 40 + x = 45.82575695 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + x = 45.82575695 + -40 Combine like terms: 40 + -40 = 0 0 + x = 45.82575695 + -40 x = 45.82575695 + -40 Combine like terms: 45.82575695 + -40 = 5.82575695 x = 5.82575695 Simplifying x = 5.82575695

Subproblem 2

x + 40 = -45.82575695 Simplifying x + 40 = -45.82575695 Reorder the terms: 40 + x = -45.82575695 Solving 40 + x = -45.82575695 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + x = -45.82575695 + -40 Combine like terms: 40 + -40 = 0 0 + x = -45.82575695 + -40 x = -45.82575695 + -40 Combine like terms: -45.82575695 + -40 = -85.82575695 x = -85.82575695 Simplifying x = -85.82575695

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.82575695, -85.82575695}

See similar equations:

| 6x-87=3x-9 | | 35(x-1)=-7(5-x)+28x | | D(x)=2964+5362x+5701 | | 2x-17=x-7 | | 5x+13=-95x-7x | | 9(t-2)+3t=4(3t+4)-10 | | 3+10m-2=5m+36-2m | | 4x+27=12x-37 | | 11=-1x | | 2x=6+x | | 97-3x=24x+19 | | 116-2x=16x+16 | | 100-2x=5x+23 | | -52-2=12-10x | | 29x^2-23x=0 | | 2x(45)= | | 3x+11=2x | | 9x+3=-195 | | 15x+6.5=10x | | 0.2(x+90)+x=54 | | 3x+15=2x+5 | | 3x=5x+7 | | 8k+70=-7k+10 | | 5+18y-3=9y+82-7y | | 25(x-1)=-5(5-x)+20x | | x^2-200x-50=0 | | 8(t-6)+7t=5(3t+5)-10 | | Y^3-4y^2+4y=0 | | 2(14x+2x^2)-80=0 | | 196=116+28x+2X^2 | | 4x+53=8x | | 116+28x+2X^2=196 |

Equations solver categories