6x^2+15x=36

Simple and best practice solution for 6x^2+15x=36 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 6x^2+15x=36 equation:


Simplifying
6x2 + 15x = 36

Reorder the terms:
15x + 6x2 = 36

Solving
15x + 6x2 = 36

Solving for variable 'x'.

Reorder the terms:
-36 + 15x + 6x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 15x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + 5x + 2x2) = 0

Factor a trinomial.
3((-4 + -1x)(3 + -2x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-4, 1.5}

See similar equations:

| 4x^2=4-9x | | 4x^2=4-9 | | 3x-9=9-x | | 5(1-2x)=23-4x | | 15a-10=6a-2a-2+3 | | -2p+7=6-(9p+4) | | 20x+70= | | -20-3x+3x^2=0 | | x-19=-9 | | -|-9+7|= | | 4x+12-3=8-6x-4 | | 7(1+5x)=133 | | n-5n=-2n-6 | | 3(x-9)=-4(x-2) | | 3(y-9)=-4(y-2) | | 4(3x+4)=100 | | (x-6)-(x+3)=7x | | 9=12-x | | -4(x+3)=2(x-7) | | (4y-5)-(6y-4)= | | -2+3a=4a+2 | | 4z-8=3z-5 | | 5x-2(3x+1)=3-7x+31 | | 0=n+(-11) | | -3(x-9)-(-5x+4)=-7 | | (4h-3)(2h+1)=63 | | 15-(-3)= | | 2k+5=2(4k-12)+41 | | 64x^2-27=0 | | 5w+11=7(w+3) | | w-2w-1=8-3w-3 | | x+5/2+x-1/2=x-1/3 |

Equations solver categories