(25x^2+20xy+16y^2)*(5x-4y)=z

Simple and best practice solution for (25x^2+20xy+16y^2)*(5x-4y)=z 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 (25x^2+20xy+16y^2)*(5x-4y)=z equation: 


Simplifying
(25x2 + 20xy + 16y2)(5x + -4y) = z

Reorder the terms:
(20xy + 25x2 + 16y2)(5x + -4y) = z

Multiply (20xy + 25x2 + 16y2) * (5x + -4y)
(20xy * (5x + -4y) + 25x2 * (5x + -4y) + 16y2 * (5x + -4y)) = z
((5x * 20xy + -4y * 20xy) + 25x2 * (5x + -4y) + 16y2 * (5x + -4y)) = z

Reorder the terms:
((-80xy2 + 100x2y) + 25x2 * (5x + -4y) + 16y2 * (5x + -4y)) = z
((-80xy2 + 100x2y) + 25x2 * (5x + -4y) + 16y2 * (5x + -4y)) = z
(-80xy2 + 100x2y + (5x * 25x2 + -4y * 25x2) + 16y2 * (5x + -4y)) = z

Reorder the terms:
(-80xy2 + 100x2y + (-100x2y + 125x3) + 16y2 * (5x + -4y)) = z
(-80xy2 + 100x2y + (-100x2y + 125x3) + 16y2 * (5x + -4y)) = z
(-80xy2 + 100x2y + -100x2y + 125x3 + (5x * 16y2 + -4y * 16y2)) = z
(-80xy2 + 100x2y + -100x2y + 125x3 + (80xy2 + -64y3)) = z

Reorder the terms:
(-80xy2 + 80xy2 + 100x2y + -100x2y + 125x3 + -64y3) = z

Combine like terms: -80xy2 + 80xy2 = 0
(0 + 100x2y + -100x2y + 125x3 + -64y3) = z
(100x2y + -100x2y + 125x3 + -64y3) = z

Combine like terms: 100x2y + -100x2y = 0
(0 + 125x3 + -64y3) = z
(125x3 + -64y3) = z

Solving
125x3 + -64y3 = z

Solving for variable 'x'.

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

Add '64y3' to each side of the equation.
125x3 + -64y3 + 64y3 = 64y3 + z

Combine like terms: -64y3 + 64y3 = 0
125x3 + 0 = 64y3 + z
125x3 = 64y3 + z

Divide each side by '125'.
x3 = 0.512y3 + 0.008z

Simplifying
x3 = 0.512y3 + 0.008z

Reorder the terms:
x3 + -0.512y3 + -0.008z = 0.512y3 + -0.512y3 + 0.008z + -0.008z

Combine like terms: 0.512y3 + -0.512y3 = 0.000
x3 + -0.512y3 + -0.008z = 0.000 + 0.008z + -0.008z
x3 + -0.512y3 + -0.008z = 0.008z + -0.008z

Combine like terms: 0.008z + -0.008z = 0.000
x3 + -0.512y3 + -0.008z = 0.000

The solution to this equation could not be determined.

See similar equations:

| 3(2x-4)+12=60 | | 15+5(x+7)=x | | 7x+22=3x+6 | | 13w+1=1 | | -217=7(6x+9)-7x | | -5x+15x+20=0 | | r^2+8r+9= | | 8xw=120 | | 2x-3(2x+2)=30 | | (e^8x+6)=10 | | x+x-2x+121=0 | | 3x-7(-2x-4)=113 | | 2p-4q+p+6q= | | 7x-19+32=-15 | | 2y-4x+9=0 | | -25+x-30=-60 | | 3(3+4x)=25 | | 6(x-2)+4=6 | | 9x+2x=187 | | -16x^2+90x+3=84 | | 80-3a=5a+80 | | 9+x-16=20 | | x+3x+14=62 | | 2x=-9x+22 | | 20x-5x^5=0 | | -4(2+11)=92 | | 3+2x+x=9 | | 6x+12-8x=-2x-2+3 | | (3b)(4b)= | | 4(3+7)=172 | | 54xy+45x+18y+15= | | 4*n+13=91 |

Equations solver categories