x^2+10x-34=3x-4

Simple and best practice solution for x^2+10x-34=3x-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+10x-34=3x-4 equation: 


Simplifying
x2 + 10x + -34 = 3x + -4

Reorder the terms:
-34 + 10x + x2 = 3x + -4

Reorder the terms:
-34 + 10x + x2 = -4 + 3x

Solving
-34 + 10x + x2 = -4 + 3x

Solving for variable 'x'.

Reorder the terms:
-34 + 4 + 10x + -3x + x2 = -4 + 3x + 4 + -3x

Combine like terms: -34 + 4 = -30
-30 + 10x + -3x + x2 = -4 + 3x + 4 + -3x

Combine like terms: 10x + -3x = 7x
-30 + 7x + x2 = -4 + 3x + 4 + -3x

Reorder the terms:
-30 + 7x + x2 = -4 + 4 + 3x + -3x

Combine like terms: -4 + 4 = 0
-30 + 7x + x2 = 0 + 3x + -3x
-30 + 7x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + 7x + x2 = 0

Factor a trinomial.
(-10 + -1x)(3 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-10, 3}

See similar equations:

| 10x-10=6x+2 | | 5x-19=14x+71 | | x^4-18x^2+32=0 | | 3x+38=10x-32 | | X+3x-5=301 | | 4x^2-31x+45=-7x+10 | | 137-2x=34x+21 | | 5-8x=65-22x | | 12x-26=118 | | 5x+6=-129-10x | | 280-6x=39x+20 | | 4+12k-8k+8=24 | | (x+1)+5(x+1)=0 | | 68-7x=2x+24 | | 3d^2+24d+48= | | -3n+1=-5 | | 12-9x=34-23x | | 0.47x-9.81x=0.0008 | | -3n+1=5 | | -1*3x+7*3x=-5*9+17*6x | | 3x+6=-54-9x | | b-2(b-2)= | | 5x+25=14x-83 | | -3c= | | -18-2x=12-8x | | 7(x-3)+3=-18 | | 9p-5p+30-10=40 | | 10b-4(6+b)= | | 12.5+5x=30 | | 14-9x=41-16x | | 4b^3-500= | | .03x+.05(30000-x)=1100 |

Equations solver categories