(4y+3)(7-y)=0

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


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

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

Multiply (3 + 4y) * (7 + -1y)
(3(7 + -1y) + 4y * (7 + -1y)) = 0
((7 * 3 + -1y * 3) + 4y * (7 + -1y)) = 0
((21 + -3y) + 4y * (7 + -1y)) = 0
(21 + -3y + (7 * 4y + -1y * 4y)) = 0
(21 + -3y + (28y + -4y2)) = 0

Combine like terms: -3y + 28y = 25y
(21 + 25y + -4y2) = 0

Solving
21 + 25y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -1y)(3 + 4y) = 0


Subproblem 1
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

Subproblem 2
Set the factor '(3 + 4y)' equal to zero and attempt to solve:

Simplifying
3 + 4y = 0

Solving
3 + 4y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = 0 + -3
4y = 0 + -3

Combine like terms: 0 + -3 = -3
4y = -3

Divide each side by '4'.
y = -0.75

Simplifying
y = -0.75
Solution
y = {7, -0.75}

See similar equations:

| 4[3+2(x+2)]= | | ln(2x+1)-1=ln(x-2) | | 5ln(x+2)+1=16 | | 13(1h+3h)= | | 6+[4-2x+6]=x-1 | | 6x-8=90-8x | | 6y-32=23 | | 42y+7=19 | | 15=8y-5y | | -13+4x=-39+10 | | 88=w(3+w) | | 12+4(2-x)= | | 61-2x=5-10x | | 58-4x=13-9x | | 25=4.5z | | 10x+7=2x+87 | | ln(0)+3=y | | (3x+1)+(4x-1)= | | (-a^3)(5a)= | | 9+9x=-23+x | | 5+65x=39x+21 | | 8+a=18 | | 2x+2.3=5.9 | | (q-8)(q-2)= | | 9x+19+45+5x=180 | | -8(0.1x+0.3)-1.2=-0.4 | | x=.5*32x^2+24x+60 | | -8+3x=-12+6x | | 10x-18=9x+6 | | 4+30x=20x+10 | | 27=105x-54y | | 6x-9=6(x+1) |

Equations solver categories