=12x^3-16x^2+20x

Simple and best practice solution for =12x^3-16x^2+20x 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 =12x^3-16x^2+20x equation:


Simplifying
0 = 12x3 + -16x2 + 20x

Reorder the terms:
0 = 20x + -16x2 + 12x3

Solving
0 = 20x + -16x2 + 12x3

Solving for variable 'x'.
Remove the zero:
-20x + 16x2 + -12x3 = 20x + -16x2 + 12x3 + -20x + 16x2 + -12x3

Reorder the terms:
-20x + 16x2 + -12x3 = 20x + -20x + -16x2 + 16x2 + 12x3 + -12x3

Combine like terms: 20x + -20x = 0
-20x + 16x2 + -12x3 = 0 + -16x2 + 16x2 + 12x3 + -12x3
-20x + 16x2 + -12x3 = -16x2 + 16x2 + 12x3 + -12x3

Combine like terms: -16x2 + 16x2 = 0
-20x + 16x2 + -12x3 = 0 + 12x3 + -12x3
-20x + 16x2 + -12x3 = 12x3 + -12x3

Combine like terms: 12x3 + -12x3 = 0
-20x + 16x2 + -12x3 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5 + 4x + -3x2) = 0

Ignore the factor 4.

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 '(-5 + 4x + -3x2)' equal to zero and attempt to solve: Simplifying -5 + 4x + -3x2 = 0 Solving -5 + 4x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 1.666666667 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -1.333333333x + -1.666666667 + x2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -1.333333333x + x2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -1.333333333x + x2 = 0 + -1.666666667 -1.333333333x + x2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -1.333333333x + x2 = -1.666666667 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -1.666666667 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -1.666666667 + 0.4444444442 Combine like terms: -1.666666667 + 0.4444444442 = -1.2222222228 0.4444444442 + -1.333333333x + x2 = -1.2222222228 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -1.2222222228 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:

| V=3xa | | -3w+2+4w=-2+5 | | 8x-7-3x=x+6+x | | 9x-4=113 | | (4x^2-4x-4x^3+3)-(2x^2-8x-4x^3+4)=0 | | 3(2d+1)=3(3D-1)-6(1-d) | | 4x+8-x=2+2x+7 | | x^2+(x^2+xy+y^2)=0 | | 3d^2+11d+10=70 | | 48x^3+36x^2-336x-252=0 | | p-59=33 | | 18x-2=13x-7 | | =14x^3y-7x^2y^2 | | 2-8n+4n=6-100 | | (x-9)(x-3)=(x+1) | | 91-87=39y-43y | | -2(t-5)+4t=8t-5 | | E^1-3x=7 | | -4w+2+5w=2-1 | | 9x+10-7x=8+x+5 | | -14+8(9-3)= | | x^2+26x+28=0 | | (3x-5)(2)=56 | | 4y+2.5x-3.4=0 | | 1(-6)(8)= | | -59-(-98)= | | (7x-6w)*(3x+6y)*(3y+3w)= | | 16x-2=10x-20 | | 8x+9=-39 | | [6+(-5)]+[3+(-7)]= | | 8x+8-2x=1+5x+8 | | 21+(-2)+(-18)= |

Equations solver categories