(2*x+4)(3-x)-(5*x+6)(x+2)=0

Simple and best practice solution for (2*x+4)(3-x)-(5*x+6)(x+2)=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 (2*x+4)(3-x)-(5*x+6)(x+2)=0 equation:


Simplifying
(2x + 4)(3 + -1x) + -1(5x + 6)(x + 2) = 0

Reorder the terms:
(4 + 2x)(3 + -1x) + -1(5x + 6)(x + 2) = 0

Multiply (4 + 2x) * (3 + -1x)
(4(3 + -1x) + 2x * (3 + -1x)) + -1(5x + 6)(x + 2) = 0
((3 * 4 + -1x * 4) + 2x * (3 + -1x)) + -1(5x + 6)(x + 2) = 0
((12 + -4x) + 2x * (3 + -1x)) + -1(5x + 6)(x + 2) = 0
(12 + -4x + (3 * 2x + -1x * 2x)) + -1(5x + 6)(x + 2) = 0
(12 + -4x + (6x + -2x2)) + -1(5x + 6)(x + 2) = 0

Combine like terms: -4x + 6x = 2x
(12 + 2x + -2x2) + -1(5x + 6)(x + 2) = 0

Reorder the terms:
12 + 2x + -2x2 + -1(6 + 5x)(x + 2) = 0

Reorder the terms:
12 + 2x + -2x2 + -1(6 + 5x)(2 + x) = 0

Multiply (6 + 5x) * (2 + x)
12 + 2x + -2x2 + -1(6(2 + x) + 5x * (2 + x)) = 0
12 + 2x + -2x2 + -1((2 * 6 + x * 6) + 5x * (2 + x)) = 0
12 + 2x + -2x2 + -1((12 + 6x) + 5x * (2 + x)) = 0
12 + 2x + -2x2 + -1(12 + 6x + (2 * 5x + x * 5x)) = 0
12 + 2x + -2x2 + -1(12 + 6x + (10x + 5x2)) = 0

Combine like terms: 6x + 10x = 16x
12 + 2x + -2x2 + -1(12 + 16x + 5x2) = 0
12 + 2x + -2x2 + (12 * -1 + 16x * -1 + 5x2 * -1) = 0
12 + 2x + -2x2 + (-12 + -16x + -5x2) = 0

Reorder the terms:
12 + -12 + 2x + -16x + -2x2 + -5x2 = 0

Combine like terms: 12 + -12 = 0
0 + 2x + -16x + -2x2 + -5x2 = 0
2x + -16x + -2x2 + -5x2 = 0

Combine like terms: 2x + -16x = -14x
-14x + -2x2 + -5x2 = 0

Combine like terms: -2x2 + -5x2 = -7x2
-14x + -7x2 = 0

Solving
-14x + -7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-7x'.
-7x(2 + x) = 0

Ignore the factor -7.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0, -2}

See similar equations:

| 35x+56y+4=98 | | 1+8x^3= | | 35+5x=15 | | x*x(3x-5)=22x | | 7.1x-3.2=3.9 | | q=50-.5p | | 2x+[2x-(x-4)]=-[x(-5-x)] | | 4x-x^2=1 | | (5b^2+7a^2)(-5b^2+7a^2)= | | 2logx-8=0 | | abs(9-2x)=7 | | 2x+[2x-(x-4)]=[-x(-5-x)] | | (B-2)(B-4)= | | 12+6x=5x-5 | | 12+6x=5x-15 | | (b+4a)x^2= | | 6+3m-1=7m+7-3m | | 5(x-2)+9(3-x)= | | 4x+3y-24=0 | | cot(x)=2 | | 15(x+5)=0 | | 6-2x=5x-9x-18 | | 4-5(w-5)=2(3w-13) | | X*x*(3*x-5)=22*x | | X^4-6x^3-12x^2+56x+96=0 | | X+8-12= | | x^2+4x-13=12 | | 10-10+5X=15-10 | | 8(5-2)=x | | x=0.41 | | 2*(x-1)-x=3x-16 | | 2(x-10)=-18 |

Equations solver categories