(7y-28)(8y+30)=0

Simple and best practice solution for (7y-28)(8y+30)=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 (7y-28)(8y+30)=0 equation: 


Simplifying
(7y + -28)(8y + 30) = 0

Reorder the terms:
(-28 + 7y)(8y + 30) = 0

Reorder the terms:
(-28 + 7y)(30 + 8y) = 0

Multiply (-28 + 7y) * (30 + 8y)
(-28(30 + 8y) + 7y * (30 + 8y)) = 0
((30 * -28 + 8y * -28) + 7y * (30 + 8y)) = 0
((-840 + -224y) + 7y * (30 + 8y)) = 0
(-840 + -224y + (30 * 7y + 8y * 7y)) = 0
(-840 + -224y + (210y + 56y2)) = 0

Combine like terms: -224y + 210y = -14y
(-840 + -14y + 56y2) = 0

Solving
-840 + -14y + 56y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '14'.
14(-60 + -1y + 4y2) = 0

Factor a trinomial.
14((-15 + -4y)(4 + -1y)) = 0

Ignore the factor 14.

Subproblem 1
Set the factor '(-15 + -4y)' equal to zero and attempt to solve:

Simplifying
-15 + -4y = 0

Solving
-15 + -4y = 0

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

Add '15' to each side of the equation.
-15 + 15 + -4y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -4y = 0 + 15
-4y = 0 + 15

Combine like terms: 0 + 15 = 15
-4y = 15

Divide each side by '-4'.
y = -3.75

Simplifying
y = -3.75

Subproblem 2
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
Solution
y = {-3.75, 4}

See similar equations:

| 3/4=x-1/2 | | x^2+14x-99=-4 | | 2/3(x-6) | | 2+5/3k-10=-2/3k-10^2 | | 1/5(r+6)=1/7(r+8) | | v/7=56 | | -5.3(3p+5)-1.4(4p-6)= | | 5.5=y+3.7 | | y^2+2y+4x-7=0 | | 7/9x+7=-21 | | 4=z-8 | | y=4-2/5x | | -1+1=11 | | 12x-7x^2+64=0 | | -14x-12=3x+5 | | 64x^2+4=68 | | 117=x+99 | | 5/9(8+c)=-48 | | [-22]-x=5+6x+9 | | 32x=7(x+5) | | 9x^2+7=10 | | x^4+54=15x^2 | | Z/6-5/8=7/8 | | [-7a]-10=20-3a | | k^2-5=20 | | 2n+2=4+4n | | 3.4=2x-.9 | | .50(4d-2)=d+5 | | 5/6x=-25 | | 0=x^3-11x | | 1/6k=8 | | -4.8f+6.4=-8.8 |

Equations solver categories