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

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


Simplifying
5x2 + 5x = 24 + -2x

Reorder the terms:
5x + 5x2 = 24 + -2x

Solving
5x + 5x2 = 24 + -2x

Solving for variable 'x'.

Reorder the terms:
-24 + 5x + 2x + 5x2 = 24 + -2x + -24 + 2x

Combine like terms: 5x + 2x = 7x
-24 + 7x + 5x2 = 24 + -2x + -24 + 2x

Reorder the terms:
-24 + 7x + 5x2 = 24 + -24 + -2x + 2x

Combine like terms: 24 + -24 = 0
-24 + 7x + 5x2 = 0 + -2x + 2x
-24 + 7x + 5x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 7x + 5x2 = 0

Factor a trinomial.
(-3 + -1x)(8 + -5x) = 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 '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

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

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

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-3, 1.6}

See similar equations:

| -2.7=1.3-4y | | 4x+3=-5x+21 | | 242=x^2+14x | | 3(5-2x)+4x=2x-9 | | 6k+k=21 | | 3x^2+8x-4=8-8x | | 2x^2+x^3-8x^2-x+6=0 | | 1.5x=7.6 | | -11=7-5x-x | | 49+8+3k=75 | | 6x-3(-1)=3 | | -4x+8+7x=-13 | | f(x)=4x+12 | | 0.4*6= | | 12+-5=1+10x | | 0.4x^6= | | Y=12x^2-7x-10 | | 0.8x-0.6=0.9x+4.1 | | 5b-8b=-15 | | 2(x+5)+3(x-2)=29 | | 0.8x-0.6=0.9x | | 115=4n+7 | | .1x+.25(20+x)=25.65 | | -2s=5(3q-2) | | .1x+.25(20-x)=25.65 | | -3=12y-5(-7) | | x+6=3x+18 | | .1x+.25(x-20)=25.65 | | 2x+-2+2= | | 2=4a+4-3a | | 2x^2+y=6 | | 3x-12+7=13 |

Equations solver categories