36x^2-120x+100=9x^2+24x+16

Simple and best practice solution for 36x^2-120x+100=9x^2+24x+16 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^2-120x+100=9x^2+24x+16 equation: 


Simplifying
36x2 + -120x + 100 = 9x2 + 24x + 16

Reorder the terms:
100 + -120x + 36x2 = 9x2 + 24x + 16

Reorder the terms:
100 + -120x + 36x2 = 16 + 24x + 9x2

Solving
100 + -120x + 36x2 = 16 + 24x + 9x2

Solving for variable 'x'.

Reorder the terms:
100 + -16 + -120x + -24x + 36x2 + -9x2 = 16 + 24x + 9x2 + -16 + -24x + -9x2

Combine like terms: 100 + -16 = 84
84 + -120x + -24x + 36x2 + -9x2 = 16 + 24x + 9x2 + -16 + -24x + -9x2

Combine like terms: -120x + -24x = -144x
84 + -144x + 36x2 + -9x2 = 16 + 24x + 9x2 + -16 + -24x + -9x2

Combine like terms: 36x2 + -9x2 = 27x2
84 + -144x + 27x2 = 16 + 24x + 9x2 + -16 + -24x + -9x2

Reorder the terms:
84 + -144x + 27x2 = 16 + -16 + 24x + -24x + 9x2 + -9x2

Combine like terms: 16 + -16 = 0
84 + -144x + 27x2 = 0 + 24x + -24x + 9x2 + -9x2
84 + -144x + 27x2 = 24x + -24x + 9x2 + -9x2

Combine like terms: 24x + -24x = 0
84 + -144x + 27x2 = 0 + 9x2 + -9x2
84 + -144x + 27x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
84 + -144x + 27x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(28 + -48x + 9x2) = 0

Factor a trinomial.
3((2 + -3x)(14 + -3x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(14 + -3x)' equal to zero and attempt to solve:

Simplifying
14 + -3x = 0

Solving
14 + -3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 0 + -14
-3x = 0 + -14

Combine like terms: 0 + -14 = -14
-3x = -14

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667
Solution
x = {0.6666666667, 4.666666667}

See similar equations:

| 6x^27-x=0 | | 3x-6(0)=24 | | y=2+18 | | 1/2s-4s-21 | | 16=8y-2(y+7) | | 10n+4(5-2n)= | | -2-7x+49x^2=0 | | 0.8+0.4=1.5 | | y=1+18 | | 9k+6=8+13 | | y=0+18 | | .66p=4.62 | | 4x+4=-17+x | | 4-1/3x=8 | | 12a+3c=2ab+6 | | 7x+5x+32=180 | | 1y-1x=2 | | 8(x+2)+4x/2-x/2=19 | | 5(z+2)=3(z+1)-9 | | 6y^2+40y-64= | | 9d-1/2=17.5 | | -5a+4=-6 | | 17p+p=40p-2p | | 6y+12=30 | | .05(10000)+.09x=.080(10000+x) | | P+0.26-0.64p=3.86 | | 9+10p-7=7p+23-4p | | 17.5=9d | | 14+6n-4n-8= | | 1/3*1/2*1/4 | | (15x-2)+(7x+4)=90 | | 7+8grade=87 |

Equations solver categories