x^2-3x-19=5x+1

Simple and best practice solution for x^2-3x-19=5x+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^2-3x-19=5x+1 equation:


Simplifying
x2 + -3x + -19 = 5x + 1

Reorder the terms:
-19 + -3x + x2 = 5x + 1

Reorder the terms:
-19 + -3x + x2 = 1 + 5x

Solving
-19 + -3x + x2 = 1 + 5x

Solving for variable 'x'.

Reorder the terms:
-19 + -1 + -3x + -5x + x2 = 1 + 5x + -1 + -5x

Combine like terms: -19 + -1 = -20
-20 + -3x + -5x + x2 = 1 + 5x + -1 + -5x

Combine like terms: -3x + -5x = -8x
-20 + -8x + x2 = 1 + 5x + -1 + -5x

Reorder the terms:
-20 + -8x + x2 = 1 + -1 + 5x + -5x

Combine like terms: 1 + -1 = 0
-20 + -8x + x2 = 0 + 5x + -5x
-20 + -8x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-20 + -8x + x2 = 0

Factor a trinomial.
(-2 + -1x)(10 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

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

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

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-2, 10}

See similar equations:

| (9x+10)-(6x-7)= | | 28y+12=180 | | 2x^2-6x=180 | | 18-b=24 | | 2(x-7)=3x-5 | | 6(x-4)+8=2x+4(3x) | | (6x+4)-(4x-8)= | | 11=4(x+1)x | | y=x(3d+1) | | x-3=-x+5 | | (8+x)(x+4)=0 | | 6x+4-4x-8= | | -6x-4(7x-13)=-58 | | 9-a=15 | | 4y+8-3y+15=3y+3 | | 5g-4-7-5g= | | 4c-7b=14 | | 7b+12=-b+4 | | X-3x-34=6 | | 2tan^2x-3tanx=20 | | 8x+9=3x+4 | | 18x^2+15x=27 | | 4x+12=-8x+16 | | 11x+9y-122=0 | | 2b-4-8b-6= | | 3-[3*6+2]= | | cos(pix)=-2sin(pix) | | 3-[3*6]+2= | | 2tan^2(X)-3tan(X)-20=0 | | 3=3x+16(-x+3) | | 56=261-y | | 4(2y)-y=75 |

Equations solver categories