x^2+9x^2+36x+13=9

Simple and best practice solution for x^2+9x^2+36x+13=9 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 x^2+9x^2+36x+13=9 equation:


Simplifying
x2 + 9x2 + 36x + 13 = 9

Reorder the terms:
13 + 36x + x2 + 9x2 = 9

Combine like terms: x2 + 9x2 = 10x2
13 + 36x + 10x2 = 9

Solving
13 + 36x + 10x2 = 9

Solving for variable 'x'.

Reorder the terms:
13 + -9 + 36x + 10x2 = 9 + -9

Combine like terms: 13 + -9 = 4
4 + 36x + 10x2 = 9 + -9

Combine like terms: 9 + -9 = 0
4 + 36x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 18x + 5x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + 18x + 5x2)' equal to zero and attempt to solve: Simplifying 2 + 18x + 5x2 = 0 Solving 2 + 18x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + 3.6x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 3.6x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 3.6x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 3.6x + x2 = 0 + -0.4 3.6x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 3.6x + x2 = -0.4 The x term is 3.6x. Take half its coefficient (1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. 3.6x + 3.24 + x2 = -0.4 + 3.24 Reorder the terms: 3.24 + 3.6x + x2 = -0.4 + 3.24 Combine like terms: -0.4 + 3.24 = 2.84 3.24 + 3.6x + x2 = 2.84 Factor a perfect square on the left side: (x + 1.8)(x + 1.8) = 2.84 Calculate the square root of the right side: 1.685229955 Break this problem into two subproblems by setting (x + 1.8) equal to 1.685229955 and -1.685229955.

Subproblem 1

x + 1.8 = 1.685229955 Simplifying x + 1.8 = 1.685229955 Reorder the terms: 1.8 + x = 1.685229955 Solving 1.8 + x = 1.685229955 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8 + x = 1.685229955 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + x = 1.685229955 + -1.8 x = 1.685229955 + -1.8 Combine like terms: 1.685229955 + -1.8 = -0.114770045 x = -0.114770045 Simplifying x = -0.114770045

Subproblem 2

x + 1.8 = -1.685229955 Simplifying x + 1.8 = -1.685229955 Reorder the terms: 1.8 + x = -1.685229955 Solving 1.8 + x = -1.685229955 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8 + x = -1.685229955 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + x = -1.685229955 + -1.8 x = -1.685229955 + -1.8 Combine like terms: -1.685229955 + -1.8 = -3.485229955 x = -3.485229955 Simplifying x = -3.485229955

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.114770045, -3.485229955}

Solution

x = {-0.114770045, -3.485229955}

See similar equations:

| 3(a+4)+2(a-1)=a | | x^3-9x+4x^2-36=0 | | 13X^2+12X-32=0 | | 5x-32-3x-8=0 | | -8(5x-3)= | | 17-(x+8)=5x-3 | | 3g+4(-8+4g)=1-g | | 0.6(y+2)-0.2(2-y)=1 | | 1.4x-0.8(x-2)=2.4x | | 31/2+43/8+53/4 | | N+4=5n+2 | | 6(4x-6)=2(12x+4) | | x^9-256x=0 | | 9(c+6)-2c=4c+1+3c | | 4*2+(-3)(-3)(-3)/2*(-1)-6*2 | | -5y+4=-6y+1 | | (33/49)*(35/117)*(27/55) | | 7+6x-6=9x+37-7x | | 1/8(3x-2)=1/4(x+5) | | -5(x+7)+(x-9)=16 | | 1/8(3x-2)=1/4(d+5) | | y^4+2y^2+9=0 | | 3-[6(7-5*8)]= | | (4/7)x=16 | | t+18=3(5-t)+4t+3 | | 7X^2+22X-16=0 | | 2c^16-2d^16=0 | | (2x/5)=1/3(2x-12) | | x*x+-3.75=0 | | 4x^2-5x-20=0 | | 3-[6(7-5(8))]= | | 5(32/17)=5-25y |

Equations solver categories