-5x-3x^2-1=0

Simple and best practice solution for -5x-3x^2-1=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 -5x-3x^2-1=0 equation:


Simplifying
-5x + -3x2 + -1 = 0

Reorder the terms:
-1 + -5x + -3x2 = 0

Solving
-1 + -5x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 5x + 3x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(1 + 5x + 3x2)' equal to zero and attempt to solve: Simplifying 1 + 5x + 3x2 = 0 Solving 1 + 5x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.3333333333 + 1.666666667x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 1.666666667x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 1.666666667x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 1.666666667x + x2 = 0 + -0.3333333333 1.666666667x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 1.666666667x + x2 = -0.3333333333 The x term is 1.666666667x. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667x + 0.6944444447 + x2 = -0.3333333333 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667x + x2 = -0.3333333333 + 0.6944444447 Combine like terms: -0.3333333333 + 0.6944444447 = 0.3611111114 0.6944444447 + 1.666666667x + x2 = 0.3611111114 Factor a perfect square on the left side: (x + 0.8333333335)(x + 0.8333333335) = 0.3611111114 Calculate the square root of the right side: 0.600925213 Break this problem into two subproblems by setting (x + 0.8333333335) equal to 0.600925213 and -0.600925213.

Subproblem 1

x + 0.8333333335 = 0.600925213 Simplifying x + 0.8333333335 = 0.600925213 Reorder the terms: 0.8333333335 + x = 0.600925213 Solving 0.8333333335 + x = 0.600925213 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + x = 0.600925213 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + x = 0.600925213 + -0.8333333335 x = 0.600925213 + -0.8333333335 Combine like terms: 0.600925213 + -0.8333333335 = -0.2324081205 x = -0.2324081205 Simplifying x = -0.2324081205

Subproblem 2

x + 0.8333333335 = -0.600925213 Simplifying x + 0.8333333335 = -0.600925213 Reorder the terms: 0.8333333335 + x = -0.600925213 Solving 0.8333333335 + x = -0.600925213 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + x = -0.600925213 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + x = -0.600925213 + -0.8333333335 x = -0.600925213 + -0.8333333335 Combine like terms: -0.600925213 + -0.8333333335 = -1.4342585465 x = -1.4342585465 Simplifying x = -1.4342585465

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.2324081205, -1.4342585465}

Solution

x = {-0.2324081205, -1.4342585465}

See similar equations:

| 7x+9+5x=9 | | x-10=2y | | 6x+2+4x=62 | | 5m^2-2m=8 | | 2x-2+x=25 | | 7x-7=8x+8 | | y=20-3x | | 70=3f+25 | | -56=7x-x+10 | | -3w-9(4w-19)=-14-15-14w | | -5x+2(6x-18)=-120 | | 12x+5x=25 | | (a-1)=3(a+1) | | 2+4x+5x=-106 | | 4k-5-9k= | | 7x+3x=1 | | 9-x-7x=-31 | | 8x+9=3x-2 | | G(x)=3x^2-6x+10 | | -5x+1+7x=-1 | | x+5=14*2 | | 5x+2(6x-18)=-120 | | [x-4]=2 | | 2-7x+3x=-6 | | 5x+6=3x+8 | | 2(v+6)-4v=24 | | 5f+16=61 | | 7x+5+2=4(x+2)+5x | | 2x+10x-6+90=180 | | 2x-2(7x-26)=148 | | h(t)=t^2+8t+16 | | 2x-3+2y=10 |

Equations solver categories