5x^2+5x-13=29-24x

Simple and best practice solution for 5x^2+5x-13=29-24x 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 5x^2+5x-13=29-24x equation: 


Simplifying
5x2 + 5x + -13 = 29 + -24x

Reorder the terms:
-13 + 5x + 5x2 = 29 + -24x

Solving
-13 + 5x + 5x2 = 29 + -24x

Solving for variable 'x'.

Reorder the terms:
-13 + -29 + 5x + 24x + 5x2 = 29 + -24x + -29 + 24x

Combine like terms: -13 + -29 = -42
-42 + 5x + 24x + 5x2 = 29 + -24x + -29 + 24x

Combine like terms: 5x + 24x = 29x
-42 + 29x + 5x2 = 29 + -24x + -29 + 24x

Reorder the terms:
-42 + 29x + 5x2 = 29 + -29 + -24x + 24x

Combine like terms: 29 + -29 = 0
-42 + 29x + 5x2 = 0 + -24x + 24x
-42 + 29x + 5x2 = -24x + 24x

Combine like terms: -24x + 24x = 0
-42 + 29x + 5x2 = 0

Factor a trinomial.
(-7 + -1x)(6 + -5x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-7, 1.2}

See similar equations:

| 13x+28=5x+228 | | 5x+5x-13=29-24x | | y=x^3+4x^2+4x | | 6p^2-p-2=0 | | 9y^2-24y+15=0 | | 8y-5=13y+40 | | 6-8x=57-29x | | 50-30-15-6=51 | | 1*1=a | | -8(9+y)=-40 | | 3w(l)=13500 | | 4w^6+9m^2=0 | | 6(x+1.38)=5x | | 5=abc | | .4*x=2 | | 5x+4.81=2x+10 | | 10x+24=2x+6 | | -2.4x+1.2=-10.8 | | 9squared=9287 | | -(1+11n)=-10(8+9n) | | y=-6x+15 | | -9d+(m*2squared)4cubed=99 | | y^2+26=14y | | -1-9=7x+4-6x | | 4(2x+1)=3(x+7) | | 5x+7-4x=16 | | -4n+4(8n+11)=-7n+4(-4+10n) | | -10X^2-8X=0 | | 45c^2-115c-60=0 | | x+2=6+-16 | | 3x^3+14x^2+8x= | | x+2=6x-6 |

Equations solver categories