3x^2=8x^2+18x+9

Simple and best practice solution for 3x^2=8x^2+18x+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 3x^2=8x^2+18x+9 equation:


Simplifying
3x2 = 8x2 + 18x + 9

Reorder the terms:
3x2 = 9 + 18x + 8x2

Solving
3x2 = 9 + 18x + 8x2

Solving for variable 'x'.

Reorder the terms:
-9 + -18x + 3x2 + -8x2 = 9 + 18x + 8x2 + -9 + -18x + -8x2

Combine like terms: 3x2 + -8x2 = -5x2
-9 + -18x + -5x2 = 9 + 18x + 8x2 + -9 + -18x + -8x2

Reorder the terms:
-9 + -18x + -5x2 = 9 + -9 + 18x + -18x + 8x2 + -8x2

Combine like terms: 9 + -9 = 0
-9 + -18x + -5x2 = 0 + 18x + -18x + 8x2 + -8x2
-9 + -18x + -5x2 = 18x + -18x + 8x2 + -8x2

Combine like terms: 18x + -18x = 0
-9 + -18x + -5x2 = 0 + 8x2 + -8x2
-9 + -18x + -5x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-9 + -18x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 18x + 5x2) = 0

Factor a trinomial.
-1((3 + x)(3 + 5x)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Solution

x = {-3, -0.6}

See similar equations:

| q+222=-8q-21 | | 3m^2-6m=3m | | 3x+13x-10x+12=90 | | 5y-2=2y+24 | | M=b(f-3L) | | 512d=8 | | 9d-9d+2d=8 | | 6s-4s=20 | | -13b+2b+20b+14=-4 | | 3+n(y-2)=6 | | 1*x*1759=2600 | | -d+a=J | | 8w^2+18w+9=0 | | -13b+2b-20b+14=-4 | | -7+B=j | | 2u=18 | | 8s+s-7s=10 | | 7w^2-18w-9=0 | | 40x+8.50y=163.75 | | 3(n-6)-9=-3 | | 9a-4a=15 | | 1/2(5-2h)=2h)=h/2 | | 11x/16=×/6 | | 18+t=63 | | 10x-4=-2x+84 | | -1/2*(-5/9) | | 3x+1=6-7x | | 0=777/sqrtx-10 | | -4m^2-32m= | | 10q-8q-q=15 | | 4(n+5)=8-2(n-3) | | 6z-6=5z+1 |

Equations solver categories