(c+4)(c-7)=0

Simple and best practice solution for (c+4)(c-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 (c+4)(c-7)=0 equation: 


Simplifying
(c + 4)(c + -7) = 0

Reorder the terms:
(4 + c)(c + -7) = 0

Reorder the terms:
(4 + c)(-7 + c) = 0

Multiply (4 + c) * (-7 + c)
(4(-7 + c) + c(-7 + c)) = 0
((-7 * 4 + c * 4) + c(-7 + c)) = 0
((-28 + 4c) + c(-7 + c)) = 0
(-28 + 4c + (-7 * c + c * c)) = 0
(-28 + 4c + (-7c + c2)) = 0

Combine like terms: 4c + -7c = -3c
(-28 + -3c + c2) = 0

Solving
-28 + -3c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-4 + -1c)(7 + -1c) = 0


Subproblem 1
Set the factor '(-4 + -1c)' equal to zero and attempt to solve:

Simplifying
-4 + -1c = 0

Solving
-4 + -1c = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1c = 0 + 4
-1c = 0 + 4

Combine like terms: 0 + 4 = 4
-1c = 4

Divide each side by '-1'.
c = -4

Simplifying
c = -4

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

Simplifying
7 + -1c = 0

Solving
7 + -1c = 0

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

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

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

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

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

Simplifying
c = 7
Solution
c = {-4, 7}

See similar equations:

| 6x-10=8x-24 | | 3X+2+38=7X | | 12x-4=-32 | | 6x+9y=-27 | | x^6-7x^3= | | 6q-3p=p+q | | y/8=y/5-4/5 | | 6=-5x+7 | | 3x+-y=22 | | 2x+20-y= | | x^8-y^8= | | 34-y=y+6 | | 129x^4+33ax^2+9a= | | x^(7/2)=51,4 | | 3(6+5x)=18 | | -3(3p+2)-2(5-8p)=3(7+2p) | | 4x-(-3)(-2)=18 | | 4x-16=3x-1.9 | | 4x(-3)(-2)=18 | | 2(6+x)=32 | | -12h-2(2h-6)=-36 | | 3y^4+6y^3+3y^2=0 | | c-62=812 | | 5xy-10x= | | 9x^4+9x^3y-x^2-xy= | | 7m=147 | | 11-(k+3k)=43 | | 1/3,1/4,1/5,1/6= | | 2y-1/3=x | | 42=5v+2 | | 7x-12=8x+3 | | 15y-18=20 |

Equations solver categories