3x(9x^2-4x+5)=x

Simple and best practice solution for 3x(9x^2-4x+5)=x 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(9x^2-4x+5)=x equation: 


Simplifying
3x(9x2 + -4x + 5) = x

Reorder the terms:
3x(5 + -4x + 9x2) = x
(5 * 3x + -4x * 3x + 9x2 * 3x) = x
(15x + -12x2 + 27x3) = x

Solving
15x + -12x2 + 27x3 = x

Solving for variable 'x'.

Reorder the terms:
15x + -1x + -12x2 + 27x3 = x + -1x

Combine like terms: 15x + -1x = 14x
14x + -12x2 + 27x3 = x + -1x

Combine like terms: x + -1x = 0
14x + -12x2 + 27x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + -12x + 27x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(14 + -12x + 27x2)' equal to zero and attempt to solve:

Simplifying
14 + -12x + 27x2 = 0

Solving
14 + -12x + 27x2 = 0

Begin completing the square.  Divide all terms by
27 the coefficient of the squared term: 

Divide each side by '27'.
0.5185185185 + -0.4444444444x + x2 = 0

Move the constant term to the right:

Add '-0.5185185185' to each side of the equation.
0.5185185185 + -0.4444444444x + -0.5185185185 + x2 = 0 + -0.5185185185

Reorder the terms:
0.5185185185 + -0.5185185185 + -0.4444444444x + x2 = 0 + -0.5185185185

Combine like terms: 0.5185185185 + -0.5185185185 = 0.0000000000
0.0000000000 + -0.4444444444x + x2 = 0 + -0.5185185185
-0.4444444444x + x2 = 0 + -0.5185185185

Combine like terms: 0 + -0.5185185185 = -0.5185185185
-0.4444444444x + x2 = -0.5185185185

The x term is -0.4444444444x.  Take half its coefficient (-0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
-0.4444444444x + 0.04938271604 + x2 = -0.5185185185 + 0.04938271604

Reorder the terms:
0.04938271604 + -0.4444444444x + x2 = -0.5185185185 + 0.04938271604

Combine like terms: -0.5185185185 + 0.04938271604 = -0.46913580246
0.04938271604 + -0.4444444444x + x2 = -0.46913580246

Factor a perfect square on the left side:
(x + -0.2222222222)(x + -0.2222222222) = -0.46913580246

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

See similar equations:

| (4a-3b)(5a+7b)= | | x+56=138 | | 0.10(y-2)+0.06y=0.20y-0.03(20) | | -3.3+(-27.3+10.6)=0 | | 0.70x+0.25(140)=0.35(30) | | 15+2+9x+20=180 | | 9x^2+10x-9=0 | | 15+2=9x+20 | | x^2-16x+53=0 | | 15+2=9x | | p(x)=90-3x | | 363=96L+W | | -2+7(4-9)= | | x^2-12x+33=0 | | 4x^2-17x+25=2x+4 | | x^3-2x^2-5x-12=0 | | 2x+2(4)=24ft | | (x+3)2x=24 | | 2x(x+3)=24 | | (5v-1)x(4v+6w-5)= | | -6(x-3)+4=22 | | (5v-1)(4v+6w-5)= | | 9-3x=17+5x | | 3x^2-10xy+3y^2= | | 5x-1=2x+8 | | -2(3x-2)=2x | | 20x-5=40x+10 | | 24x^2-7x+6=0 | | 11c=8c+18 | | -4y+10=-2(4y+7) | | 12x-7x-9=11 | | 7x+55=98 |

Equations solver categories