x^2-13x-17=-8x-3

Simple and best practice solution for x^2-13x-17=-8x-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^2-13x-17=-8x-3 equation: 


Simplifying
x2 + -13x + -17 = -8x + -3

Reorder the terms:
-17 + -13x + x2 = -8x + -3

Reorder the terms:
-17 + -13x + x2 = -3 + -8x

Solving
-17 + -13x + x2 = -3 + -8x

Solving for variable 'x'.

Reorder the terms:
-17 + 3 + -13x + 8x + x2 = -3 + -8x + 3 + 8x

Combine like terms: -17 + 3 = -14
-14 + -13x + 8x + x2 = -3 + -8x + 3 + 8x

Combine like terms: -13x + 8x = -5x
-14 + -5x + x2 = -3 + -8x + 3 + 8x

Reorder the terms:
-14 + -5x + x2 = -3 + 3 + -8x + 8x

Combine like terms: -3 + 3 = 0
-14 + -5x + x2 = 0 + -8x + 8x
-14 + -5x + x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-14 + -5x + x2 = 0

Factor a trinomial.
(-2 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-2, 7}

See similar equations:

| 4x-21=2x-3 | | 1023x=(x+500)*500 | | 3x=x+500 | | 8/9×4/1 | | (1500-x)-1200-y=3x-y | | -3x^2+12x+17=0 | | x*x+6x=5 | | -3x^2+12x+8=0 | | 22+11y= | | 4+7*7= | | 22+11y=23 | | 5x^2+7x-2400=0 | | y=180-(140-2x) | | y=5sinx+5x | | 3x^2+6x+9x=0 | | 8x+5y=36 | | 3x^2+6x+4=28 | | 6x^2+6x+4=28 | | x+4y+3z=4 | | (9)/(2x)-(3)/(5)=(5)/(8x) | | h(-3)=3x^2-2 | | -6x+3y-4=0 | | 4ax-2a= | | x^7=1000 | | 8y^2=x^2-x^4 | | 7(x-2)+3(x+1)-2(x-1)=3(2x-5)-2 | | 6m+3=2m+15 | | x^3+x^2+5=155 | | x^3+x^2+5=156 | | x^3+x^2+5=45 | | 3z/7-5=9 | | z/7-2=10 |

Equations solver categories