(X+4)(X+6)=5X+3

Simple and best practice solution for (X+4)(X+6)=5X+3 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 (X+4)(X+6)=5X+3 equation:


Simplifying
(X + 4)(X + 6) = 5X + 3

Reorder the terms:
(4 + X)(X + 6) = 5X + 3

Reorder the terms:
(4 + X)(6 + X) = 5X + 3

Multiply (4 + X) * (6 + X)
(4(6 + X) + X(6 + X)) = 5X + 3
((6 * 4 + X * 4) + X(6 + X)) = 5X + 3
((24 + 4X) + X(6 + X)) = 5X + 3
(24 + 4X + (6 * X + X * X)) = 5X + 3
(24 + 4X + (6X + X2)) = 5X + 3

Combine like terms: 4X + 6X = 10X
(24 + 10X + X2) = 5X + 3

Reorder the terms:
24 + 10X + X2 = 3 + 5X

Solving
24 + 10X + X2 = 3 + 5X

Solving for variable 'X'.

Reorder the terms:
24 + -3 + 10X + -5X + X2 = 3 + 5X + -3 + -5X

Combine like terms: 24 + -3 = 21
21 + 10X + -5X + X2 = 3 + 5X + -3 + -5X

Combine like terms: 10X + -5X = 5X
21 + 5X + X2 = 3 + 5X + -3 + -5X

Reorder the terms:
21 + 5X + X2 = 3 + -3 + 5X + -5X

Combine like terms: 3 + -3 = 0
21 + 5X + X2 = 0 + 5X + -5X
21 + 5X + X2 = 5X + -5X

Combine like terms: 5X + -5X = 0
21 + 5X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + 5X + -21 + X2 = 0 + -21

Reorder the terms:
21 + -21 + 5X + X2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 5X + X2 = 0 + -21
5X + X2 = 0 + -21

Combine like terms: 0 + -21 = -21
5X + X2 = -21

The X term is 5X.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5X + 6.25 + X2 = -21 + 6.25

Reorder the terms:
6.25 + 5X + X2 = -21 + 6.25

Combine like terms: -21 + 6.25 = -14.75
6.25 + 5X + X2 = -14.75

Factor a perfect square on the left side:
(X + 2.5)(X + 2.5) = -14.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 16r^2=60+68r | | 6t^2+12t-4=0 | | 5x^2+8x-6=14x | | 5x-3y=49 | | 7(y-5)/5=-3y | | 3=7+u | | K=ze | | k+5(k-6)=12 | | 7y=-3.5 | | 1+5y=4y-9 | | x-.29x=75000 | | -1/5m-10=10 | | H(29.2)=2.87sqrt(15)+20.08 | | 8=2h^2 | | 1/3*12*7= | | 9n^2-400=0 | | 256w^2-100= | | N-5+5=6n | | 4x-14y=24 | | 1/5m-10=10 | | 64q^2-81=0 | | -2(2x+6c)+16=-90 | | 15x=18+6x | | 4(x+4)=3(4x-1) | | 2x= 3y+16 | | y-7y=-6 | | (5x-3)+(5x-3)+(2x+1)=38 | | 5x+2=43 | | 3x^2-18x-45=0 | | 12x^3(x^2-1)=0 | | p(3x+6)=15x+30 | | k^2=-4k+21 |

Equations solver categories