(10w+7)(3w-9)=0

Simple and best practice solution for (10w+7)(3w-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 (10w+7)(3w-9)=0 equation: 


Simplifying
(10w + 7)(3w + -9) = 0

Reorder the terms:
(7 + 10w)(3w + -9) = 0

Reorder the terms:
(7 + 10w)(-9 + 3w) = 0

Multiply (7 + 10w) * (-9 + 3w)
(7(-9 + 3w) + 10w * (-9 + 3w)) = 0
((-9 * 7 + 3w * 7) + 10w * (-9 + 3w)) = 0
((-63 + 21w) + 10w * (-9 + 3w)) = 0
(-63 + 21w + (-9 * 10w + 3w * 10w)) = 0
(-63 + 21w + (-90w + 30w2)) = 0

Combine like terms: 21w + -90w = -69w
(-63 + -69w + 30w2) = 0

Solving
-63 + -69w + 30w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + -23w + 10w2) = 0

Factor a trinomial.
3((-7 + -10w)(3 + -1w)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-7 + -10w)' equal to zero and attempt to solve:

Simplifying
-7 + -10w = 0

Solving
-7 + -10w = 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 + -10w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -10w = 0 + 7
-10w = 0 + 7

Combine like terms: 0 + 7 = 7
-10w = 7

Divide each side by '-10'.
w = -0.7

Simplifying
w = -0.7

Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-0.7, 3}

See similar equations:

| 18=-3y+8(y-4) | | -35=8x+4x | | 4(2x-7)-5x=9+2(x-4) | | 5u(u+1)=0 | | 9k^2+21k-1=-11 | | Tanx+2sinx=0 | | X^2+y^2=q | | -4y+2=-2(4y+7) | | 6x+7=-33-4x | | 6x-2=11x-44 | | 14+2x=-6x-3x | | -2a+8-a=11 | | 7x+35=5x+35 | | 2x+5=17-3x | | x/10-6=6 | | Log(9x+13)=2 | | 100x^2+500=-600 | | y=sin(x) | | -22=4+9(y-6) | | X^2+y^2=14 | | 10x^2-9w=0 | | 2x^2-2x=x^2+8 | | 4(k+9)-(-5k-7)=8k | | X^2-13=14 | | 3x-8=7x+11 | | 25c^4-36=0 | | 6d^2+19d+3=-7 | | 4x+43+2x=7 | | 800=c+2b | | 7m-26=30 | | 125b^2-245=0 | | 23+17+1=41 |

Equations solver categories