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

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


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

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

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

Multiply (9 + 2w) * (-7 + w)
(9(-7 + w) + 2w * (-7 + w)) = 0
((-7 * 9 + w * 9) + 2w * (-7 + w)) = 0
((-63 + 9w) + 2w * (-7 + w)) = 0
(-63 + 9w + (-7 * 2w + w * 2w)) = 0
(-63 + 9w + (-14w + 2w2)) = 0

Combine like terms: 9w + -14w = -5w
(-63 + -5w + 2w2) = 0

Solving
-63 + -5w + 2w2 = 0

Solving for variable 'w'.

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


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

Simplifying
-9 + -2w = 0

Solving
-9 + -2w = 0

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

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

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

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

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

Simplifying
w = -4.5

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

Simplifying
7 + -1w = 0

Solving
7 + -1w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1w = 0 + -7

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

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

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

Simplifying
w = 7
Solution
w = {-4.5, 7}

See similar equations:

| 4x(x-3)=(2x+3)(x-3) | | 4cot^2x-12=0 | | F(8)=2x-20 | | F(8)8=2x-20 | | 6-3i/2i | | 3(X+2.43)=2x | | 500x-0.15=700x+0.21 | | z/10=35 | | -6x+7=8x-15 | | 8z^2-30z+7=0 | | Log(4x+11)=2 | | 4.5x-74=2.7x+7 | | 5z^2+8z-4=0 | | x^2+26x+105=0 | | 5x+2x-3x=4+4 | | -3=[-c-7]+1 | | x^2=4(5x+7) | | 2/3x-4=5/7 | | tan(25)3/x | | 5y-7+y+34=8y+30-5y | | 4w-12= | | -5.3(4t+6)-2.4(2t-5)= | | X+20=35-4h | | f(x)=-3+3x | | 138/2 | | e^3x-4=12 | | x^2=1/36 | | 12x^4a-7x^2a-45=0 | | (x-0.5)*(x-0.5)+(y-0.5)*(y-0.5)= | | f(x)=-3+3 | | 4r-21=-35+6r | | -5x-9y=112 |

Equations solver categories