(5y-7)(2y+8)=0

Simple and best practice solution for (5y-7)(2y+8)=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 (5y-7)(2y+8)=0 equation: 


Simplifying
(5y + -7)(2y + 8) = 0

Reorder the terms:
(-7 + 5y)(2y + 8) = 0

Reorder the terms:
(-7 + 5y)(8 + 2y) = 0

Multiply (-7 + 5y) * (8 + 2y)
(-7(8 + 2y) + 5y * (8 + 2y)) = 0
((8 * -7 + 2y * -7) + 5y * (8 + 2y)) = 0
((-56 + -14y) + 5y * (8 + 2y)) = 0
(-56 + -14y + (8 * 5y + 2y * 5y)) = 0
(-56 + -14y + (40y + 10y2)) = 0

Combine like terms: -14y + 40y = 26y
(-56 + 26y + 10y2) = 0

Solving
-56 + 26y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 13y + 5y2) = 0

Factor a trinomial.
2((-4 + -1y)(7 + -5y)) = 0

Ignore the factor 2.

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

Simplifying
-4 + -1y = 0

Solving
-4 + -1y = 0

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

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

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

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

Divide each side by '-1'.
y = -4

Simplifying
y = -4

Subproblem 2
Set the factor '(7 + -5y)' equal to zero and attempt to solve:

Simplifying
7 + -5y = 0

Solving
7 + -5y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5y = 0 + -7
-5y = 0 + -7

Combine like terms: 0 + -7 = -7
-5y = -7

Divide each side by '-5'.
y = 1.4

Simplifying
y = 1.4
Solution
y = {-4, 1.4}

See similar equations:

| 61h=3.2-3.2h | | -5m+7(8-11m)=-94-7 | | 4x-9/2=8 | | 7x-(11x^2+9x)= | | 2x+21-x+21=2 | | y=-0.00211x^2+1.06x | | 9x^2+9y^2+6x-12y+1=0 | | 6-m/6-1=0 | | -22=22-5x | | 6-m/6-1=2 | | x^2+-6x+99=121 | | 80.25-70.25= | | d/dx(ln(e^2x))) | | X/6(-9)=3 | | 5.5/22 | | 5000=0.15+250n | | 33=-3(x-7) | | 21=0.75 | | 0.15=250x+5000 | | 4=7x+-8+-3x | | P+258=-4p+8 | | 42=5x+8 | | 4(x-2)2=36 | | 2000+x=3300-0.15 | | 7(2-7x)=259 | | (8w+4x)(5w-6x)=0 | | 2000+x=3300+0.15 | | Y-25=3y+5 | | 13-7r=24 | | 15=3t-5-8t | | (15mn)(-4m+6mn-10n)= | | y-1=3/4(x-2) |

Equations solver categories