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

Simple and best practice solution for (x+4)(x+6)=-1 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)=-1 equation:


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

Reorder the terms:
(4 + x)(x + 6) = -1

Reorder the terms:
(4 + x)(6 + x) = -1

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

Combine like terms: 4x + 6x = 10x
(24 + 10x + x2) = -1

Solving
24 + 10x + x2 = -1

Solving for variable 'x'.

Reorder the terms:
24 + 1 + 10x + x2 = -1 + 1

Combine like terms: 24 + 1 = 25
25 + 10x + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
25 + 10x + x2 = 0

Factor a trinomial.
(5 + x)(5 + x) = 0

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {-5, -5}

See similar equations:

| 17x-6+7x+14=360 | | 45+5x=(9x+9) | | 3x+y=300 | | 36x-21-24x=-104 | | w^2+6*w-216=0 | | -y-7=14 | | 2x=-90 | | a/8-5=6 | | X+3+x+3+x+3+x+3=32 | | n+2=-14+-n | | 31-7=38 | | 13m=-156 | | -3v+37=-56v-16 | | 8+x=x+-4x | | 28+39+7x=319 | | 3√(x+2)=0 | | 5=6(x-1)+5-5x | | 20+x=(2x-25) | | -16=t/4-14 | | 11-2x=-6x | | w-12=-3 | | 87+x=96 | | 11x+4y=44 | | 4x+1=22+x | | 5x+60=8x+26 | | 3*x+2=0 | | x+21+71=180 | | x^5-48x^3-8x^4=0 | | -10x^2+30x+540=0 | | -22=-2v | | 10x*x=17x-3 | | 3(x)=0 |

Equations solver categories