.08x^2+.12x-.44=0

Simple and best practice solution for .08x^2+.12x-.44=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 .08x^2+.12x-.44=0 equation:


Simplifying
0.08x2 + 0.12x + -0.44 = 0

Reorder the terms:
-0.44 + 0.12x + 0.08x2 = 0

Solving
-0.44 + 0.12x + 0.08x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.08'.
-5.5 + 1.5x + x2 = 0

Move the constant term to the right:

Add '5.5' to each side of the equation.
-5.5 + 1.5x + 5.5 + x2 = 0 + 5.5

Reorder the terms:
-5.5 + 5.5 + 1.5x + x2 = 0 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 1.5x + x2 = 0 + 5.5
1.5x + x2 = 0 + 5.5

Combine like terms: 0 + 5.5 = 5.5
1.5x + x2 = 5.5

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = 5.5 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = 5.5 + 0.5625

Combine like terms: 5.5 + 0.5625 = 6.0625
0.5625 + 1.5x + x2 = 6.0625

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 6.0625

Calculate the square root of the right side: 2.46221445

Break this problem into two subproblems by setting 
(x + 0.75) equal to 2.46221445 and -2.46221445.

Subproblem 1

x + 0.75 = 2.46221445 Simplifying x + 0.75 = 2.46221445 Reorder the terms: 0.75 + x = 2.46221445 Solving 0.75 + x = 2.46221445 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 2.46221445 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 2.46221445 + -0.75 x = 2.46221445 + -0.75 Combine like terms: 2.46221445 + -0.75 = 1.71221445 x = 1.71221445 Simplifying x = 1.71221445

Subproblem 2

x + 0.75 = -2.46221445 Simplifying x + 0.75 = -2.46221445 Reorder the terms: 0.75 + x = -2.46221445 Solving 0.75 + x = -2.46221445 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -2.46221445 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -2.46221445 + -0.75 x = -2.46221445 + -0.75 Combine like terms: -2.46221445 + -0.75 = -3.21221445 x = -3.21221445 Simplifying x = -3.21221445

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.71221445, -3.21221445}

See similar equations:

| -6(w+5)=-2w-6 | | 6m-7-4m=4m+13 | | -6=4v+2(-4x) | | 5y-10=9(y+2) | | 2m-13=33 | | 4(x+1)=-6x-46 | | -39=-3w+6(w-7) | | 6.4=4 | | -4x+7(x+3)=15 | | 0.11x+0.09(480000-x)=52000 | | -6=4v+2(v-6) | | 2(3m-4)+8=4-2(m-3)+6m | | 25x^4-81x^2=0 | | (4x+10y-1)-(6X-20Y-7)= | | (4x+4y)+(6x-7y)= | | 3/8x+1=9/4 | | (-7a^2b^3c^0/3a^3b^4c^3)^-4 | | 9x^5-16x^3=0 | | ((2x^2)-6)/(((x^2)+3)^4)=0 | | 0.25x+0.50y=6.75 | | -3z^2-11z+20=0 | | 6r-3s-8(8r-8s)= | | -3x-4y=-5 | | xy-xz-yz=0 | | 5x-7y=22 | | 2-6(x^(-1/2))=0 | | 30x=0 | | 2-6x^-1/2=0 | | 2-6x^1/2=0 | | -9x+10=-7(x-4) | | 0.15x+0.1(550000-x)=75000 | | -3c-2(2b-a)-b-c-7a= |

Equations solver categories