(y-7)(2y+9)=0

Simple and best practice solution for (y-7)(2y+9)=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 (y-7)(2y+9)=0 equation: 


Simplifying
(y + -7)(2y + 9) = 0

Reorder the terms:
(-7 + y)(2y + 9) = 0

Reorder the terms:
(-7 + y)(9 + 2y) = 0

Multiply (-7 + y) * (9 + 2y)
(-7(9 + 2y) + y(9 + 2y)) = 0
((9 * -7 + 2y * -7) + y(9 + 2y)) = 0
((-63 + -14y) + y(9 + 2y)) = 0
(-63 + -14y + (9 * y + 2y * y)) = 0
(-63 + -14y + (9y + 2y2)) = 0

Combine like terms: -14y + 9y = -5y
(-63 + -5y + 2y2) = 0

Solving
-63 + -5y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-9 + -2y)(7 + -1y) = 0


Subproblem 1
Set the factor '(-9 + -2y)' equal to zero and attempt to solve:

Simplifying
-9 + -2y = 0

Solving
-9 + -2y = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2y = 0 + 9
-2y = 0 + 9

Combine like terms: 0 + 9 = 9
-2y = 9

Divide each side by '-2'.
y = -4.5

Simplifying
y = -4.5

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 = {-4.5, 7}

See similar equations:

| 6v(4)= | | (7x+1)(-14x+2)= | | 2n+2=14 | | (7x+1)(-14x+1)= | | -4x+43=6x-2 | | 2(n-1)!/n-1 | | (7x+1)(7x+1)(7x+1)= | | Q^2-22q+17=0 | | -7(3+t)=2(2t+6) | | 4(220)-260=y | | (7x+1)(-7x-1)= | | 2x^3+4=x(x+8) | | 3x-15=96 | | 5s=85 | | (7x+1)(2-7x)= | | g^2+12g-47=0 | | -12m+5m=17-45 | | 5(9+x)= | | (7x+1)(1+7x)= | | 2l+3=w | | (7x+1)(1-7x)= | | 14x-16x=10 | | 5n+2=n+9 | | -8(x+6)-3(-x-5)=2(x+4) | | 15n-12n=9 | | 3x-12=(-21) | | -8=-4x | | 10=j/6 | | 16z=0 | | 22/16=x/24 | | Xx=84 | | -17-3+29-35=-5-3m-7+4m |

Equations solver categories