(2y+7)(3y-21)=0

Simple and best practice solution for (2y+7)(3y-21)=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 (2y+7)(3y-21)=0 equation: 


Simplifying
(2y + 7)(3y + -21) = 0

Reorder the terms:
(7 + 2y)(3y + -21) = 0

Reorder the terms:
(7 + 2y)(-21 + 3y) = 0

Multiply (7 + 2y) * (-21 + 3y)
(7(-21 + 3y) + 2y * (-21 + 3y)) = 0
((-21 * 7 + 3y * 7) + 2y * (-21 + 3y)) = 0
((-147 + 21y) + 2y * (-21 + 3y)) = 0
(-147 + 21y + (-21 * 2y + 3y * 2y)) = 0
(-147 + 21y + (-42y + 6y2)) = 0

Combine like terms: 21y + -42y = -21y
(-147 + -21y + 6y2) = 0

Solving
-147 + -21y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-49 + -7y + 2y2) = 0

Factor a trinomial.
3((-7 + -2y)(7 + -1y)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-7 + -2y)' equal to zero and attempt to solve:

Simplifying
-7 + -2y = 0

Solving
-7 + -2y = 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 + -2y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2y = 0 + 7
-2y = 0 + 7

Combine like terms: 0 + 7 = 7
-2y = 7

Divide each side by '-2'.
y = -3.5

Simplifying
y = -3.5

Subproblem 2
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
Solution
y = {-3.5, 7}

See similar equations:

| 3x+3=3x+18 | | 5a-2[3-2(4a+3)]=0 | | -11x+3x=9x-15 | | x^2-2x+c=4x-2c | | 8+E=0.20E+0.80(E-10) | | 25.0139-7.481*5.2=-1.1(5.2+8) | | x^2-87=-6 | | 8=x^2-2x+5 | | 21-7(2x-9+3x)=0 | | 25.0139-7.481x=-1.1(x+8) | | (4a-5)(5a-6)= | | 3a+15-(15-3a)= | | 6-x+7=21 | | 25.0139-7.481*2.5=-1.1(2.5+8) | | 8(6+x)+2x=8 | | (3x-9)(x+5)=0 | | 3x^2+7x-30=0 | | cos(x)+cos(3x)+2*cos(2x)=0 | | 25.0139-7.481*2.5=-1.1(2.5-8) | | 7ax+a^2+6x^2=0 | | a-b=30+a | | 7t^2+t-0.25=0 | | 7-5(7-2x)=6x-4 | | (1+y^2)dx+(x^2y+y+2xy)dy=0 | | 9x+3=-25+2x | | 3z*3z-8z+5-z*z+7z-12= | | x^2+(y-3)=14 | | 150-x=-15 | | 5ax+13a^2-8x^2=0 | | 150-x=-12 | | 4d=2d#16 | | 5(g-3)=g+10 |

Equations solver categories