1.7x^2+8.4x-3.2=0

Simple and best practice solution for 1.7x^2+8.4x-3.2=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 1.7x^2+8.4x-3.2=0 equation:


Simplifying
1.7x2 + 8.4x + -3.2 = 0

Reorder the terms:
-3.2 + 8.4x + 1.7x2 = 0

Solving
-3.2 + 8.4x + 1.7x2 = 0

Solving for variable 'x'.

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

Divide each side by '1.7'.
-1.882352941 + 4.941176471x + x2 = 0

Move the constant term to the right:

Add '1.882352941' to each side of the equation.
-1.882352941 + 4.941176471x + 1.882352941 + x2 = 0 + 1.882352941

Reorder the terms:
-1.882352941 + 1.882352941 + 4.941176471x + x2 = 0 + 1.882352941

Combine like terms: -1.882352941 + 1.882352941 = 0.000000000
0.000000000 + 4.941176471x + x2 = 0 + 1.882352941
4.941176471x + x2 = 0 + 1.882352941

Combine like terms: 0 + 1.882352941 = 1.882352941
4.941176471x + x2 = 1.882352941

The x term is 4.941176471x.  Take half its coefficient (2.470588236).
Square it (6.103806232) and add it to both sides.

Add '6.103806232' to each side of the equation.
4.941176471x + 6.103806232 + x2 = 1.882352941 + 6.103806232

Reorder the terms:
6.103806232 + 4.941176471x + x2 = 1.882352941 + 6.103806232

Combine like terms: 1.882352941 + 6.103806232 = 7.986159173
6.103806232 + 4.941176471x + x2 = 7.986159173

Factor a perfect square on the left side:
(x + 2.470588236)(x + 2.470588236) = 7.986159173

Calculate the square root of the right side: 2.82597933

Break this problem into two subproblems by setting 
(x + 2.470588236) equal to 2.82597933 and -2.82597933.

Subproblem 1

x + 2.470588236 = 2.82597933 Simplifying x + 2.470588236 = 2.82597933 Reorder the terms: 2.470588236 + x = 2.82597933 Solving 2.470588236 + x = 2.82597933 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.470588236' to each side of the equation. 2.470588236 + -2.470588236 + x = 2.82597933 + -2.470588236 Combine like terms: 2.470588236 + -2.470588236 = 0.000000000 0.000000000 + x = 2.82597933 + -2.470588236 x = 2.82597933 + -2.470588236 Combine like terms: 2.82597933 + -2.470588236 = 0.355391094 x = 0.355391094 Simplifying x = 0.355391094

Subproblem 2

x + 2.470588236 = -2.82597933 Simplifying x + 2.470588236 = -2.82597933 Reorder the terms: 2.470588236 + x = -2.82597933 Solving 2.470588236 + x = -2.82597933 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.470588236' to each side of the equation. 2.470588236 + -2.470588236 + x = -2.82597933 + -2.470588236 Combine like terms: 2.470588236 + -2.470588236 = 0.000000000 0.000000000 + x = -2.82597933 + -2.470588236 x = -2.82597933 + -2.470588236 Combine like terms: -2.82597933 + -2.470588236 = -5.296567566 x = -5.296567566 Simplifying x = -5.296567566

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.355391094, -5.296567566}

See similar equations:

| 5+x=3(x-5) | | 6(y+3)=4y-28 | | 5y-7=24-y | | 40+20x=100 | | 49y^2+21y-35x= | | 8-2+a-9= | | 1(5m+15)=12 | | X^3+3x^2=72 | | ((3b-2)/4=(b-2)/12 | | 32.7-x=14.9 | | cos(2x)+4cos(x)-3=0 | | 5x-7y=92 | | (4x^2)^0/2xy^5 | | 2ln(x+2)=-2 | | 3x+9+2x+21=6x-13 | | n^4+8n^2+15=0 | | X/17=3/5 | | D^2-4D+3=e^3x | | k+9=-9 | | 134.31=6s+15.27 | | 9.1=0.35 | | (2b-4)/2=(b-3)/6 | | log(3x)-log(15)=3 | | 1(5m+15)=5 | | 4r=192 | | -2n+4(2-n)=(4n+32) | | (4+z)(3z+7)=0 | | 13-5-6(-6)= | | e*x+2=e*1-x | | D^2+4d-60=0 | | 3z^2+19z=28 | | X=44+(X*0.22) |

Equations solver categories