x^2-13x+19=-5x+4

Simple and best practice solution for x^2-13x+19=-5x+4 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^2-13x+19=-5x+4 equation: 


Simplifying
x2 + -13x + 19 = -5x + 4

Reorder the terms:
19 + -13x + x2 = -5x + 4

Reorder the terms:
19 + -13x + x2 = 4 + -5x

Solving
19 + -13x + x2 = 4 + -5x

Solving for variable 'x'.

Reorder the terms:
19 + -4 + -13x + 5x + x2 = 4 + -5x + -4 + 5x

Combine like terms: 19 + -4 = 15
15 + -13x + 5x + x2 = 4 + -5x + -4 + 5x

Combine like terms: -13x + 5x = -8x
15 + -8x + x2 = 4 + -5x + -4 + 5x

Reorder the terms:
15 + -8x + x2 = 4 + -4 + -5x + 5x

Combine like terms: 4 + -4 = 0
15 + -8x + x2 = 0 + -5x + 5x
15 + -8x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
15 + -8x + x2 = 0

Factor a trinomial.
(3 + -1x)(5 + -1x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {3, 5}

See similar equations:

| x^2+9x-18=5x+3 | | x^2-10x+15=6 | | x^2+x-9=-6x-1 | | (k-y+3m)(k-y+3m)= | | x^2-13x+44=8 | | 6x-3=28 | | (-10/3)y=16 | | -1/5b=4 | | 2b^2+10b+12= | | -a=10 | | 36x^2-132x+1241=0 | | (a-b+2c)(a-b+2c)= | | -1/3y=-8 | | j^2-9-10k^2= | | -1/5y=-2 | | (Y^4-6y^2+3)/(y^2-1) | | -5/3y=-3 | | (a+3)=0 | | 2c=-26 | | x/5-1=x/4+5 | | -7-1=6z+2z | | 11+8x-3+2x=4x+3x+5 | | 11x=14+10x | | 5-x=6x-72 | | 7x=2.1 | | (r-3s+t)(2r-s+t)= | | 27x=3/4 | | 2x^3+8x^2+4x=0 | | 18x^2-x^2= | | 7t=-4 | | q^2-q-58= | | -(5x+5)=-7x+10 |

Equations solver categories