5x^2=-12x-5

Simple and best practice solution for 5x^2=-12x-5 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^2=-12x-5 equation:


Simplifying
5x2 = -12x + -5

Reorder the terms:
5x2 = -5 + -12x

Solving
5x2 = -5 + -12x

Solving for variable 'x'.

Reorder the terms:
5 + 12x + 5x2 = -5 + -12x + 5 + 12x

Reorder the terms:
5 + 12x + 5x2 = -5 + 5 + -12x + 12x

Combine like terms: -5 + 5 = 0
5 + 12x + 5x2 = 0 + -12x + 12x
5 + 12x + 5x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
5 + 12x + 5x2 = 0

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

Divide each side by '5'.
1 + 2.4x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 2.4x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 2.4x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2.4x + x2 = 0 + -1
2.4x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
2.4x + x2 = -1

The x term is 2.4x.  Take half its coefficient (1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
2.4x + 1.44 + x2 = -1 + 1.44

Reorder the terms:
1.44 + 2.4x + x2 = -1 + 1.44

Combine like terms: -1 + 1.44 = 0.44
1.44 + 2.4x + x2 = 0.44

Factor a perfect square on the left side:
(x + 1.2)(x + 1.2) = 0.44

Calculate the square root of the right side: 0.663324958

Break this problem into two subproblems by setting 
(x + 1.2) equal to 0.663324958 and -0.663324958.

Subproblem 1

x + 1.2 = 0.663324958 Simplifying x + 1.2 = 0.663324958 Reorder the terms: 1.2 + x = 0.663324958 Solving 1.2 + x = 0.663324958 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + x = 0.663324958 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + x = 0.663324958 + -1.2 x = 0.663324958 + -1.2 Combine like terms: 0.663324958 + -1.2 = -0.536675042 x = -0.536675042 Simplifying x = -0.536675042

Subproblem 2

x + 1.2 = -0.663324958 Simplifying x + 1.2 = -0.663324958 Reorder the terms: 1.2 + x = -0.663324958 Solving 1.2 + x = -0.663324958 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + x = -0.663324958 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + x = -0.663324958 + -1.2 x = -0.663324958 + -1.2 Combine like terms: -0.663324958 + -1.2 = -1.863324958 x = -1.863324958 Simplifying x = -1.863324958

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.536675042, -1.863324958}

See similar equations:

| 3m^2+m-9=0 | | 8-9x=152-37x | | c^4-7c^2+6= | | 9t^7-9t^6-990t^5=0 | | -5y+2y=-2 | | 5c+15=3c+1 | | -28-8x=7x | | (x^2-x+5)(3x^2-4x)= | | c^2-5cg-14g^2=0 | | -5x-7=-9x-15 | | Y=-5x^2+10x+9 | | 2x+(x+6)=12x+15 | | 4g-10=4-4g | | 6x+3-10x+20x+2(-x+10)=15x | | 5(a+2)-7=-32 | | 2a+4=a+7 | | Log(4x+3)=4 | | 0.5x+2=0.75x+7 | | x=1-8x | | b^2+13bd+36d^2=0 | | 19x+2y=7 | | ln(4x+3)=4 | | 3x+8=-82-7x | | 252-6x=39x+17 | | 345x-4567=567 | | 0=x^2+7x-12 | | 0=x^2+7x+12 | | 155-5x=6x+12 | | 6x-4=2x+20 | | 0=x^2-7x-12 | | v-(-7)=-4 | | 2x+.75=3x-.75 |

Equations solver categories