5(y-2)(4y-1)=

Simple and best practice solution for 5(y-2)(4y-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 5(y-2)(4y-1)= equation: 


Simplifying
5(y + -2)(4y + -1) = 0

Reorder the terms:
5(-2 + y)(4y + -1) = 0

Reorder the terms:
5(-2 + y)(-1 + 4y) = 0

Multiply (-2 + y) * (-1 + 4y)
5(-2(-1 + 4y) + y(-1 + 4y)) = 0
5((-1 * -2 + 4y * -2) + y(-1 + 4y)) = 0
5((2 + -8y) + y(-1 + 4y)) = 0
5(2 + -8y + (-1 * y + 4y * y)) = 0
5(2 + -8y + (-1y + 4y2)) = 0

Combine like terms: -8y + -1y = -9y
5(2 + -9y + 4y2) = 0
(2 * 5 + -9y * 5 + 4y2 * 5) = 0
(10 + -45y + 20y2) = 0

Solving
10 + -45y + 20y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5'.
5(2 + -9y + 4y2) = 0

Factor a trinomial.
5((1 + -4y)(2 + -1y)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(1 + -4y)' equal to zero and attempt to solve:

Simplifying
1 + -4y = 0

Solving
1 + -4y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4y = 0 + -1
-4y = 0 + -1

Combine like terms: 0 + -1 = -1
-4y = -1

Divide each side by '-4'.
y = 0.25

Simplifying
y = 0.25

Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {0.25, 2}

See similar equations:

| 2y+6y=10 | | 1.5(-3k+2)= | | 4y+9=10y+12 | | 〖23,5〗^(2/3) | | 2(x-5)+x-1=9 | | F(c)-3x+11ifc=-3 | | 4-x/361 | | 9=3(e-2) | | 4y=y+24 | | X+5x-14=3y-12 | | X^4+6=9 | | 2(g-1)+7=3g+5 | | 4y=45 | | 8x-40=2x+20 | | ((5-x)/(16-x^2))/((5x)/4-x)) | | 3(x-2)+x+12=18 | | zx^4-1=0 | | (3x+40)=(5x) | | 1.5x^2+2x+0.2=0 | | (y+5)(y+4)= | | 2x-5=-3x-10 | | 5c-3d+11= | | y*e^2dy=dx | | 8y-3y=20 | | w-6.26=1.84 | | (x+15)+(6x-10)=180 | | 4x=50-22 | | 75-v=272 | | .79=x^10 | | 7a-4+5=30 | | 0.3x^2=-0.25x^3+6x | | In(x-2)+In(2x+1)=8 |

Equations solver categories