(8c+5)(3c-9)=0

Simple and best practice solution for (8c+5)(3c-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 (8c+5)(3c-9)=0 equation: 


Simplifying
(8c + 5)(3c + -9) = 0

Reorder the terms:
(5 + 8c)(3c + -9) = 0

Reorder the terms:
(5 + 8c)(-9 + 3c) = 0

Multiply (5 + 8c) * (-9 + 3c)
(5(-9 + 3c) + 8c * (-9 + 3c)) = 0
((-9 * 5 + 3c * 5) + 8c * (-9 + 3c)) = 0
((-45 + 15c) + 8c * (-9 + 3c)) = 0
(-45 + 15c + (-9 * 8c + 3c * 8c)) = 0
(-45 + 15c + (-72c + 24c2)) = 0

Combine like terms: 15c + -72c = -57c
(-45 + -57c + 24c2) = 0

Solving
-45 + -57c + 24c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + -19c + 8c2) = 0

Factor a trinomial.
3((-5 + -8c)(3 + -1c)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -8c)' equal to zero and attempt to solve:

Simplifying
-5 + -8c = 0

Solving
-5 + -8c = 0

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

Add '5' to each side of the equation.
-5 + 5 + -8c = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8c = 0 + 5
-8c = 0 + 5

Combine like terms: 0 + 5 = 5
-8c = 5

Divide each side by '-8'.
c = -0.625

Simplifying
c = -0.625

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

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

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

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

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

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

Simplifying
c = 3
Solution
c = {-0.625, 3}

See similar equations:

| 5x+2=3x+6i | | 24-6v+22=16 | | (2m+3m)2= | | -6(8x-5)+10x=-8 | | 13x+3+10=39 | | (-0.01(x^2))+7x-600=0 | | 3a+6b=45 | | 3x-2+x+5+x+3=41 | | 2x^6+6x^5+4x^4= | | 79=72+9d-8 | | 6-9x=13+4x | | 0.3(3x+9)=5 | | 28+7v-4=11 | | 2x+10+8x-6=180 | | (2/3)x-(5/7)+(9/7)x+(1/3)=1 | | 3px+18=12px | | -1+9k-32=12 | | 14+4n=4n+17 | | 24+11y+18=36 | | e(-2.1x)+35=0 | | -42=4(w-99)+2 | | 3x^3+10x^2-27x=0 | | 8(r+78)=-16 | | -23+4x-16=37 | | 9x^2-14x+2=0 | | 4(z+6)=72 | | 9x+0=180 | | 5x-5+140=180 | | -2(4x-3)=5(3x-1)+11 | | 8w+2-60=25 | | [7(x+4)-11]-[-3(x-3)-8]= | | -3=-4x+(-5) |

Equations solver categories