(5y+10)(7y+4)-(13y+3)(5y+10)=0

Simple and best practice solution for (5y+10)(7y+4)-(13y+3)(5y+10)=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+10)(7y+4)-(13y+3)(5y+10)=0 equation: 


Simplifying
(5y + 10)(7y + 4) + -1(13y + 3)(5y + 10) = 0

Reorder the terms:
(10 + 5y)(7y + 4) + -1(13y + 3)(5y + 10) = 0

Reorder the terms:
(10 + 5y)(4 + 7y) + -1(13y + 3)(5y + 10) = 0

Multiply (10 + 5y) * (4 + 7y)
(10(4 + 7y) + 5y * (4 + 7y)) + -1(13y + 3)(5y + 10) = 0
((4 * 10 + 7y * 10) + 5y * (4 + 7y)) + -1(13y + 3)(5y + 10) = 0
((40 + 70y) + 5y * (4 + 7y)) + -1(13y + 3)(5y + 10) = 0
(40 + 70y + (4 * 5y + 7y * 5y)) + -1(13y + 3)(5y + 10) = 0
(40 + 70y + (20y + 35y2)) + -1(13y + 3)(5y + 10) = 0

Combine like terms: 70y + 20y = 90y
(40 + 90y + 35y2) + -1(13y + 3)(5y + 10) = 0

Reorder the terms:
40 + 90y + 35y2 + -1(3 + 13y)(5y + 10) = 0

Reorder the terms:
40 + 90y + 35y2 + -1(3 + 13y)(10 + 5y) = 0

Multiply (3 + 13y) * (10 + 5y)
40 + 90y + 35y2 + -1(3(10 + 5y) + 13y * (10 + 5y)) = 0
40 + 90y + 35y2 + -1((10 * 3 + 5y * 3) + 13y * (10 + 5y)) = 0
40 + 90y + 35y2 + -1((30 + 15y) + 13y * (10 + 5y)) = 0
40 + 90y + 35y2 + -1(30 + 15y + (10 * 13y + 5y * 13y)) = 0
40 + 90y + 35y2 + -1(30 + 15y + (130y + 65y2)) = 0

Combine like terms: 15y + 130y = 145y
40 + 90y + 35y2 + -1(30 + 145y + 65y2) = 0
40 + 90y + 35y2 + (30 * -1 + 145y * -1 + 65y2 * -1) = 0
40 + 90y + 35y2 + (-30 + -145y + -65y2) = 0

Reorder the terms:
40 + -30 + 90y + -145y + 35y2 + -65y2 = 0

Combine like terms: 40 + -30 = 10
10 + 90y + -145y + 35y2 + -65y2 = 0

Combine like terms: 90y + -145y = -55y
10 + -55y + 35y2 + -65y2 = 0

Combine like terms: 35y2 + -65y2 = -30y2
10 + -55y + -30y2 = 0

Solving
10 + -55y + -30y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5'.
5(2 + -11y + -6y2) = 0

Factor a trinomial.
5((1 + -6y)(2 + y)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(1 + -6y)' equal to zero and attempt to solve:

Simplifying
1 + -6y = 0

Solving
1 + -6y = 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 + -6y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6y = 0 + -1
-6y = 0 + -1

Combine like terms: 0 + -1 = -1
-6y = -1

Divide each side by '-6'.
y = 0.1666666667

Simplifying
y = 0.1666666667

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

Simplifying
2 + y = 0

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

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

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

Simplifying
y = -2
Solution
y = {0.1666666667, -2}

See similar equations:

| x^7=46 | | 5x-3=5(x+9) | | -2(x-4)+3=11 | | -36=-6/5x | | X-3/5=-1/4 | | (6x+15)(3x+14)+(9x+13)(6x+15)=0 | | 4(2x+6)=-23+15 | | (x-4)(x+8)+20=0 | | 6(c+7)=7+5c | | 8x-2y(-4)=-16 | | 7x+y=21solvingy | | 3/4+5/8= | | y/2=7 | | 90/10=x | | 2y-31=6y+17 | | a/8=4 | | 11/ln(x) | | 135/b=9 | | 44/11=b | | -2y+12=-2(3y+2) | | -5-5x=20 | | 25(3-x)=-2 | | -x-7-3(x-5)=7x-44 | | 6-(3x-6)=7-4x | | 12z+7=0 | | 6(7+c)=5(1+c) | | 2x^3-9x^2-38x+21=0 | | 4(x^3-25x^2+15x-250)=0 | | 6(c+7)=5+5c | | (-12)(5x)(1/4) | | x+(-24)=8x | | -9w-6+7w=16 |

Equations solver categories