2x(16x^2-40x+25)-8x^2*(5-4x)=0

Simple and best practice solution for 2x(16x^2-40x+25)-8x^2*(5-4x)=0 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 2x(16x^2-40x+25)-8x^2*(5-4x)=0 equation: 


Simplifying
2x(16x2 + -40x + 25) + -8x2(5 + -4x) = 0

Reorder the terms:
2x(25 + -40x + 16x2) + -8x2(5 + -4x) = 0
(25 * 2x + -40x * 2x + 16x2 * 2x) + -8x2(5 + -4x) = 0
(50x + -80x2 + 32x3) + -8x2(5 + -4x) = 0
50x + -80x2 + 32x3 + (5 * -8x2 + -4x * -8x2) = 0
50x + -80x2 + 32x3 + (-40x2 + 32x3) = 0

Reorder the terms:
50x + -80x2 + -40x2 + 32x3 + 32x3 = 0

Combine like terms: -80x2 + -40x2 = -120x2
50x + -120x2 + 32x3 + 32x3 = 0

Combine like terms: 32x3 + 32x3 = 64x3
50x + -120x2 + 64x3 = 0

Solving
50x + -120x2 + 64x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(25 + -60x + 32x2) = 0

Factor a trinomial.
2x((5 + -8x)(5 + -4x)) = 0

Ignore the factor 2.

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 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

Solving
5 + -8x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 0 + -5
-8x = 0 + -5

Combine like terms: 0 + -5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625

Subproblem 3
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0, 0.625, 1.25}

See similar equations:

| =-x+4x-2 | | -12x+-18=44 | | -2=-2.5(4)+b | | 2g-20+8g=1-g | | (10^(-1/2))*(10^(5/2)) | | 5x^8=15x^6 | | -2k+2m=m | | 81-(8*11)= | | 5/7.5=7/? | | 16=nm | | x+y=3y-6 | | 81-(811)= | | 5x^2+32x+1=-7x+9 | | -6m=2(3n-1) | | 81-(8*9)= | | 4n+24n-12=-12-32n | | 27x-4=136 | | -8=-3(3)+b | | (2/x-7)-(4/3x-6) | | 2*x-2=4 | | 20p-2y=14 | | 5x^2+32+1=-7x+9 | | 81-8*9= | | .4(3.2+2)-x=2x+1.8 | | 6xsquared-3x+1forx=-2 | | 3z+5=1 | | x+(x-7)+3(x-7)=107 | | 10x-20=8x+16 | | 38-3x=-1-30x-42 | | 4x^2+11x-2=9x | | 2.5-11=28 | | 7x4y9/3 |

Equations solver categories