(4+x)(6-x)=24

Simple and best practice solution for (4+x)(6-x)=24 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 (4+x)(6-x)=24 equation:


Simplifying
(4 + x)(6 + -1x) = 24

Multiply (4 + x) * (6 + -1x)
(4(6 + -1x) + x(6 + -1x)) = 24
((6 * 4 + -1x * 4) + x(6 + -1x)) = 24
((24 + -4x) + x(6 + -1x)) = 24
(24 + -4x + (6 * x + -1x * x)) = 24
(24 + -4x + (6x + -1x2)) = 24

Combine like terms: -4x + 6x = 2x
(24 + 2x + -1x2) = 24

Add '-24' to each side of the equation.
24 + 2x + -24 + -1x2 = 24 + -24

Reorder the terms:
24 + -24 + 2x + -1x2 = 24 + -24

Combine like terms: 24 + -24 = 0
0 + 2x + -1x2 = 24 + -24
2x + -1x2 = 24 + -24

Combine like terms: 24 + -24 = 0
2x + -1x2 = 0

Solving
2x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -1x) = 0

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 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0, 2}

See similar equations:

| 2x^3+5x^2-6x=0 | | x^2+100i=0 | | (q-9)(5q-12)=0 | | 21,75/3.2 | | 24+2x-x^2=24 | | x=y+-4+5 | | 6(d+7)+5= | | f(x)=3/5x-12 | | x=y-4+5 | | (-1*15+2x*15)=11 | | 4z/7-3=-1 | | 4b-88=10-2b | | 12-3p=6 | | 2(2y-6)= | | Z/10-5=10 | | 3x^3-3x-50=0 | | -2,31-(-1(1/2) | | -9(v+4)+4v+6=6v+6 | | (1/10)-0,9 | | 4x^2-13x-2=0 | | 2x+28=140 | | 3y=6y-18 | | 7=2+25t-5t^2 | | S*6-41=43 | | 7+4ln(x)=2 | | 6,236-(278/1000) | | (2/7)x=12 | | 3X-14=-46-9x | | 5-3c=2c-20 | | 10(b-4)+8(b+6)=0 | | x(x+1)=2(8) | | 34-14=-469x |

Equations solver categories