(x+19)(x-7)=27

Simple and best practice solution for (x+19)(x-7)=27 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+19)(x-7)=27 equation: 


Simplifying
(x + 19)(x + -7) = 27

Reorder the terms:
(19 + x)(x + -7) = 27

Reorder the terms:
(19 + x)(-7 + x) = 27

Multiply (19 + x) * (-7 + x)
(19(-7 + x) + x(-7 + x)) = 27
((-7 * 19 + x * 19) + x(-7 + x)) = 27
((-133 + 19x) + x(-7 + x)) = 27
(-133 + 19x + (-7 * x + x * x)) = 27
(-133 + 19x + (-7x + x2)) = 27

Combine like terms: 19x + -7x = 12x
(-133 + 12x + x2) = 27

Solving
-133 + 12x + x2 = 27

Solving for variable 'x'.

Reorder the terms:
-133 + -27 + 12x + x2 = 27 + -27

Combine like terms: -133 + -27 = -160
-160 + 12x + x2 = 27 + -27

Combine like terms: 27 + -27 = 0
-160 + 12x + x2 = 0

Factor a trinomial.
(-20 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve:

Simplifying
-20 + -1x = 0

Solving
-20 + -1x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 0 + 20
-1x = 0 + 20

Combine like terms: 0 + 20 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-20, 8}

See similar equations:

| 5x^2-24x+36=569 | | 0.5(6+w)=0.25(w+16) | | 50=(L)(L-3) | | -4n(2n+3)=8 | | 5x^2-4x+1=673 | | -5t^2+24t+36=0 | | -7v-40=9(v-8) | | (39200+-8x)=-770 | | 2(w+9)=7w-2 | | 8(4900-x)=770 | | 8v-7=-3(v+6) | | -6x+5.4=6.3+1.2x | | x/3=15/2 | | (1/(ab))/(1/(ab^2))/(1/(a^2b)) | | 2x(x+3)=-15 | | 216=45t | | x^4(a-b)+16(b-a)=0 | | 0.30x+0.05(20-x)=0.10(-10) | | Log(x^2-9)-3=log(x+3) | | 1/2w-2/3=2/3 | | H*t=128t-16t^2 | | 3x/9x= | | 9-5/2= | | (5x-6)(2x+9)= | | 0=-0.125x^2+0.35x+0.75 | | 4(x-2)4x+10= | | Log(x^2-9)-log(x+3)=3 | | y=-0.125x^2+0.35x+0.75 | | -2v+34=8(v+3) | | (4x^2-3x^3)-(8x^2-5x^3)= | | 17z-6z+3= | | 5w^2-3w=17 |

Equations solver categories