-4x(x+18)-7(x+18)=0

Simple and best practice solution for -4x(x+18)-7(x+18)=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 -4x(x+18)-7(x+18)=0 equation: 


Simplifying
-4x(x + 18) + -7(x + 18) = 0

Reorder the terms:
-4x(18 + x) + -7(x + 18) = 0
(18 * -4x + x * -4x) + -7(x + 18) = 0
(-72x + -4x2) + -7(x + 18) = 0

Reorder the terms:
-72x + -4x2 + -7(18 + x) = 0
-72x + -4x2 + (18 * -7 + x * -7) = 0
-72x + -4x2 + (-126 + -7x) = 0

Reorder the terms:
-126 + -72x + -7x + -4x2 = 0

Combine like terms: -72x + -7x = -79x
-126 + -79x + -4x2 = 0

Solving
-126 + -79x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(126 + 79x + 4x2) = 0

Factor a trinomial.
-1((18 + x)(7 + 4x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18

Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve:

Simplifying
7 + 4x = 0

Solving
7 + 4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 0 + -7
4x = 0 + -7

Combine like terms: 0 + -7 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75
Solution
x = {-18, -1.75}

See similar equations:

| 0.5x-0.8=0.2 | | 5x^2-6x+4= | | -2x(x+14)-5(x+14)=0 | | 6x-8=48x-32 | | 5w-5(-5x+5w)-2x= | | 2x-1=3x-13 | | 2x+36=4c | | 0.1111111111(x-0.0123456790)=0 | | 7x-6+5x=12(x-3) | | 4.3n=24.08 | | (1/2)^x=128 | | (1/2)^x=33 | | 7/6(x-3)=42 | | 4x+9+2x-9+90=180 | | (x-3+5i)(x-3-5i)(x-4)(x-4)=0 | | (X+13)(x+14)=0 | | 3n+23=4n+24 | | 8z-6+z+6+90=180 | | 8z+6+8z-6+90=180 | | (7b-1)-3(2b+2)=-4 | | y^2-5x=10 | | X(X+28)=0 | | (1/3)(3.14)(16)(6) | | -26/33=13/1x | | y+4+6y-5+90=180 | | 17-3x(4-2x)= | | 3x-5=8x-17 | | 25x^4-51x^2+2=0 | | 6y+18=6(y+3) | | (x+11)(x+12)=0 | | 4cos^2x*4cosx+1=0 | | 10x-10=2x-6 |

Equations solver categories