36x=-4x^2-50

Simple and best practice solution for 36x=-4x^2-50 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 36x=-4x^2-50 equation:


Simplifying
36x = -4x2 + -50

Reorder the terms:
36x = -50 + -4x2

Solving
36x = -50 + -4x2

Solving for variable 'x'.

Reorder the terms:
50 + 36x + 4x2 = -50 + -4x2 + 50 + 4x2

Reorder the terms:
50 + 36x + 4x2 = -50 + 50 + -4x2 + 4x2

Combine like terms: -50 + 50 = 0
50 + 36x + 4x2 = 0 + -4x2 + 4x2
50 + 36x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
50 + 36x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + 18x + 2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(25 + 18x + 2x2)' equal to zero and attempt to solve: Simplifying 25 + 18x + 2x2 = 0 Solving 25 + 18x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12.5 + 9x + x2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + 9x + -12.5 + x2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + 9x + x2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 9x + x2 = 0 + -12.5 9x + x2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 9x + x2 = -12.5 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -12.5 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -12.5 + 20.25 Combine like terms: -12.5 + 20.25 = 7.75 20.25 + 9x + x2 = 7.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = 7.75 Calculate the square root of the right side: 2.783882181 Break this problem into two subproblems by setting (x + 4.5) equal to 2.783882181 and -2.783882181.

Subproblem 1

x + 4.5 = 2.783882181 Simplifying x + 4.5 = 2.783882181 Reorder the terms: 4.5 + x = 2.783882181 Solving 4.5 + x = 2.783882181 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = 2.783882181 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = 2.783882181 + -4.5 x = 2.783882181 + -4.5 Combine like terms: 2.783882181 + -4.5 = -1.716117819 x = -1.716117819 Simplifying x = -1.716117819

Subproblem 2

x + 4.5 = -2.783882181 Simplifying x + 4.5 = -2.783882181 Reorder the terms: 4.5 + x = -2.783882181 Solving 4.5 + x = -2.783882181 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = -2.783882181 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = -2.783882181 + -4.5 x = -2.783882181 + -4.5 Combine like terms: -2.783882181 + -4.5 = -7.283882181 x = -7.283882181 Simplifying x = -7.283882181

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-1.716117819, -7.283882181}

Solution

x = {-1.716117819, -7.283882181}

See similar equations:

| 21w-14+8-26w=3w-18 | | -(6y+4)-(-5y-8)=3 | | 5-7x=71-28x | | -6(x-2)=42 | | 7t-11t-6+15=-t+17 | | 4x-3y=18 | | 28x^2-28x+7=0 | | 8(3x-5)=2(12x+2) | | 48+7x=-36 | | 9+8t-3=9t+22-5t | | -5x^2+2x-4=0 | | -2x-8=26 | | 18-3y+11=7t+6y-27-9y | | 8-(-d)=43 | | 6z+3z=81 | | 2[7-4(1-n)]+4n=-10+3[6(n+1)-3n] | | -x^2+10x-25=0 | | 2a+4=12 | | 24z=12 | | 2y+16+8=9y-24-4 | | 12t=-64 | | 4x+8=5x-5 | | 3t=-12 | | 9x-4+6x-1=12-2x | | -7(4b+2)+(29b-8)=0 | | 1.8q-3.7-5.1q=-4.3q-1.8 | | -7y+8=-8y+4 | | 5-7x=-4(2x-3) | | 9r-4r+8r-6=10r-11+2r | | 5+x=-7 | | 12a+5=5a-2 | | x^4+3x^2=0 |

Equations solver categories