(1+5y)(5y-1)=10y-1

Simple and best practice solution for (1+5y)(5y-1)=10y-1 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 (1+5y)(5y-1)=10y-1 equation:


Simplifying
(1 + 5y)(5y + -1) = 10y + -1

Reorder the terms:
(1 + 5y)(-1 + 5y) = 10y + -1

Multiply (1 + 5y) * (-1 + 5y)
(1(-1 + 5y) + 5y * (-1 + 5y)) = 10y + -1
((-1 * 1 + 5y * 1) + 5y * (-1 + 5y)) = 10y + -1
((-1 + 5y) + 5y * (-1 + 5y)) = 10y + -1
(-1 + 5y + (-1 * 5y + 5y * 5y)) = 10y + -1
(-1 + 5y + (-5y + 25y2)) = 10y + -1

Combine like terms: 5y + -5y = 0
(-1 + 0 + 25y2) = 10y + -1
(-1 + 25y2) = 10y + -1

Reorder the terms:
-1 + 25y2 = -1 + 10y

Add '1' to each side of the equation.
-1 + 1 + 25y2 = -1 + 1 + 10y

Combine like terms: -1 + 1 = 0
0 + 25y2 = -1 + 1 + 10y
25y2 = -1 + 1 + 10y

Combine like terms: -1 + 1 = 0
25y2 = 0 + 10y
25y2 = 10y

Solving
25y2 = 10y

Solving for variable 'y'.

Reorder the terms:
-10y + 25y2 = 10y + -10y

Combine like terms: 10y + -10y = 0
-10y + 25y2 = 0

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-2 + 5y) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(-2 + 5y)' equal to zero and attempt to solve: Simplifying -2 + 5y = 0 Solving -2 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5y = 0 + 2 5y = 0 + 2 Combine like terms: 0 + 2 = 2 5y = 2 Divide each side by '5'. y = 0.4 Simplifying y = 0.4

Solution

y = {0, 0.4}

See similar equations:

| (3x-1)(2x+6)-(2x-2)(3x+1)=24 | | cos^2(x)+5cos=0 | | (3x-5)5x+(3x-5)7=0 | | 0.5(4x+2)=8 | | 1/4x+x/4=x/2 | | 7(v-3)=5(v-7) | | x+z=5 | | 3s+2t=15 | | n=8+(-12) | | 7w+46=4(w+4) | | 4x+1a=-3 | | 2(2d-4)=4(2d-7) | | 7x+7=2(x-8) | | .5n+4=-1.5n-18 | | 11s+6t=43 | | 7n^9*6n^6= | | x/2-5/2-x/5-3/5=1/2 | | -x^2+4x=x-4 | | 37700=x*40000 | | 2x^2=-x-5x-1 | | Log*x-log*9=3 | | 10(s-9)=-141 | | f(x)=5x^2+4x+1whenf(x-1) | | f(x)=5x^2+4x+1f(x-1) | | (3r+1)-10=-45 | | 2x+10+x+x-20+x+40=360 | | f(x)=5x^2+4x+1 | | (17v-4)=59 | | (2v+7)(1-v)=0 | | 5y+3(2y+1)=0 | | 6(1+2k)=6k+13 | | 4(w+4)=-8w-8 |

Equations solver categories