x^2+5x-24=2x+4

Simple and best practice solution for x^2+5x-24=2x+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+5x-24=2x+4 equation: 


Simplifying
x2 + 5x + -24 = 2x + 4

Reorder the terms:
-24 + 5x + x2 = 2x + 4

Reorder the terms:
-24 + 5x + x2 = 4 + 2x

Solving
-24 + 5x + x2 = 4 + 2x

Solving for variable 'x'.

Reorder the terms:
-24 + -4 + 5x + -2x + x2 = 4 + 2x + -4 + -2x

Combine like terms: -24 + -4 = -28
-28 + 5x + -2x + x2 = 4 + 2x + -4 + -2x

Combine like terms: 5x + -2x = 3x
-28 + 3x + x2 = 4 + 2x + -4 + -2x

Reorder the terms:
-28 + 3x + x2 = 4 + -4 + 2x + -2x

Combine like terms: 4 + -4 = 0
-28 + 3x + x2 = 0 + 2x + -2x
-28 + 3x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + 3x + x2 = 0

Factor a trinomial.
(-7 + -1x)(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-7, 4}

See similar equations:

| -0.5x^2+2x=0 | | (-14)+23+(-45)+30+(-19)= | | 5y-10=4(y+7) | | -7n+6=-5n-8 | | 1+4x=12+x | | 3y^2=6 | | 45+45+120+45=180 | | 12500=-500+0.10Y | | 1.5r=2r-0.04 | | 2x-2y+10=0 | | 45+45+45=180 | | 48X=4(8X+42) | | 0,12x=360 | | 4x+2y=75 | | 18-41=3(X-3)-5 | | f(x)=4x^2+16x-3 | | 7-17=n | | 2w+7(w+4)=37 | | 4(x-3)-2x=x-(7-3x) | | 45+50+90=180 | | 3x+4y+7x-y= | | 0.10x=.08(54000-x) | | 4x^2+56x-93=0 | | ax^2+5=0 | | 81m^2+72m+16=0 | | 20=k(4) | | d+10=20-d | | 1y-y=4 | | 6x=bforx | | 90+45+45=180 | | .5x-9=1 | | 5(3x-9)=16x+4 |

Equations solver categories