0.125x^2+2x-6=1.4

Simple and best practice solution for 0.125x^2+2x-6=1.4 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 0.125x^2+2x-6=1.4 equation:


Simplifying
0.125x2 + 2x + -6 = 1.4

Reorder the terms:
-6 + 2x + 0.125x2 = 1.4

Solving
-6 + 2x + 0.125x2 = 1.4

Solving for variable 'x'.

Reorder the terms:
-6 + -1.4 + 2x + 0.125x2 = 1.4 + -1.4

Combine like terms: -6 + -1.4 = -7.4
-7.4 + 2x + 0.125x2 = 1.4 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
-7.4 + 2x + 0.125x2 = 0.0

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

Divide each side by '0.125'.
-59.2 + 16x + x2 = 0

Move the constant term to the right:

Add '59.2' to each side of the equation.
-59.2 + 16x + 59.2 + x2 = 0 + 59.2

Reorder the terms:
-59.2 + 59.2 + 16x + x2 = 0 + 59.2

Combine like terms: -59.2 + 59.2 = 0.0
0.0 + 16x + x2 = 0 + 59.2
16x + x2 = 0 + 59.2

Combine like terms: 0 + 59.2 = 59.2
16x + x2 = 59.2

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = 59.2 + 64

Reorder the terms:
64 + 16x + x2 = 59.2 + 64

Combine like terms: 59.2 + 64 = 123.2
64 + 16x + x2 = 123.2

Factor a perfect square on the left side:
(x + 8)(x + 8) = 123.2

Calculate the square root of the right side: 11.09954954

Break this problem into two subproblems by setting 
(x + 8) equal to 11.09954954 and -11.09954954.

Subproblem 1

x + 8 = 11.09954954 Simplifying x + 8 = 11.09954954 Reorder the terms: 8 + x = 11.09954954 Solving 8 + x = 11.09954954 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 11.09954954 + -8 Combine like terms: 8 + -8 = 0 0 + x = 11.09954954 + -8 x = 11.09954954 + -8 Combine like terms: 11.09954954 + -8 = 3.09954954 x = 3.09954954 Simplifying x = 3.09954954

Subproblem 2

x + 8 = -11.09954954 Simplifying x + 8 = -11.09954954 Reorder the terms: 8 + x = -11.09954954 Solving 8 + x = -11.09954954 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = -11.09954954 + -8 Combine like terms: 8 + -8 = 0 0 + x = -11.09954954 + -8 x = -11.09954954 + -8 Combine like terms: -11.09954954 + -8 = -19.09954954 x = -19.09954954 Simplifying x = -19.09954954

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.09954954, -19.09954954}

See similar equations:

| 15y=205 | | 8(11-2x)=-x+4 | | 2log(3y)=3log(2x) | | -3x^2+16x-30=0 | | 2*log(3*y)=3*ln(2*x) | | 2t-9=5 | | 2ln(3y)=3ln(2x) | | 4+4q=40 | | 9.6x+19.2=x^2+4x | | 4x+3=17-3x | | x+11=5(x-9) | | x^2-11x-360=0 | | x^2-11x-360x=0 | | ln(x)+kx+3=0 | | X+26=48 | | f(3x+2)=x^2 | | 2(4x*5)=6 | | 2x+4-6=18 | | lg(x-1)=lg(5x-3) | | X(6x)=96 | | 6(y-2)=6y-12 | | 3(2x-4)=3(x+5) | | 5y=11x-9 | | 14+5= | | (x+7)+2x=97 | | 6x^3+x^2-10x+3=0 | | 7x^2+3y^2=21 | | 2k^3+3k^2-k+5= | | (x-2)-(3x-8)=0 | | 5(x+4)=26 | | 3x-4+2x=51 | | 8x^3-24x^2+72x-27=0 |

Equations solver categories