36x^2+30x-36=6x-4

Simple and best practice solution for 36x^2+30x-36=6x-4 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^2+30x-36=6x-4 equation: 


Simplifying
36x2 + 30x + -36 = 6x + -4

Reorder the terms:
-36 + 30x + 36x2 = 6x + -4

Reorder the terms:
-36 + 30x + 36x2 = -4 + 6x

Solving
-36 + 30x + 36x2 = -4 + 6x

Solving for variable 'x'.

Reorder the terms:
-36 + 4 + 30x + -6x + 36x2 = -4 + 6x + 4 + -6x

Combine like terms: -36 + 4 = -32
-32 + 30x + -6x + 36x2 = -4 + 6x + 4 + -6x

Combine like terms: 30x + -6x = 24x
-32 + 24x + 36x2 = -4 + 6x + 4 + -6x

Reorder the terms:
-32 + 24x + 36x2 = -4 + 4 + 6x + -6x

Combine like terms: -4 + 4 = 0
-32 + 24x + 36x2 = 0 + 6x + -6x
-32 + 24x + 36x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-32 + 24x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + 6x + 9x2) = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 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 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-1.333333333, 0.6666666667}

See similar equations:

| 6x-(3x+6)=15 | | 11p+6=2(p-6) | | 5/7*56 | | 8x-2=5x-68 | | (b+3)(b+5)=0 | | 3ay/2ay | | 40x=323.07 | | w-2=O | | -11y+6x=260 | | 6x-11y=-260 | | 8(6c-1)-8=46c+8 | | 6(a-10)=12 | | 260+6x=11y | | 4n-3=35 | | 5a+2b=0 | | 8x+2(1.5x)=84.61 | | 8x+2(1.5x)=96.15 | | 10t-16=44 | | 8x+2(1.5x)=88.46 | | -7x+9y=24 | | 8x+2(1.5x)=126.92 | | 100=1+9d | | 2x+15=2x-3 | | 18x^2+7x-72=0 | | 8x+2(1.5x)=61.53 | | 8-3/4x=1/2x | | 14.7x+3.1x+7.2= | | 8x+2(1.5x)=69.23 | | 20=2(pi)r | | 8x+2(1.5x)=123.94 | | 4/5x-3-9/4x-6 | | 7x+21-(4x-1)=2 |

Equations solver categories