(x+10)(x-4)=-24

Simple and best practice solution for (x+10)(x-4)=-24 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+10)(x-4)=-24 equation: 


Simplifying
(x + 10)(x + -4) = -24

Reorder the terms:
(10 + x)(x + -4) = -24

Reorder the terms:
(10 + x)(-4 + x) = -24

Multiply (10 + x) * (-4 + x)
(10(-4 + x) + x(-4 + x)) = -24
((-4 * 10 + x * 10) + x(-4 + x)) = -24
((-40 + 10x) + x(-4 + x)) = -24
(-40 + 10x + (-4 * x + x * x)) = -24
(-40 + 10x + (-4x + x2)) = -24

Combine like terms: 10x + -4x = 6x
(-40 + 6x + x2) = -24

Solving
-40 + 6x + x2 = -24

Solving for variable 'x'.

Reorder the terms:
-40 + 24 + 6x + x2 = -24 + 24

Combine like terms: -40 + 24 = -16
-16 + 6x + x2 = -24 + 24

Combine like terms: -24 + 24 = 0
-16 + 6x + x2 = 0

Factor a trinomial.
(-8 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
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
Solution
x = {-8, 2}

See similar equations:

| 5*p+7-5*p-(-7*(p-3))= | | 3dx/dt-4x=sin2t | | ((5x+35x)-38)+(5x+35x)=38 | | -12x+8=-7x-2 | | (5x^3-x+3)+(x^3-9x^2+4x)= | | -3(6X+5)-2(1-17X)=3(1+5X) | | w^2+3w-648=0 | | 4x-6y-6=0 | | 30r^2+19ra-63a^2= | | 50m^2+25m-3=0 | | 0.80x+0.05(16-x)=0.10(-67) | | 7x^2-47x=14 | | 15/27=X/6 | | (x+4)-(3X+3)=8 | | -16=c-6/(-3) | | 3d(d+4)= | | 6r-23=-11+2r | | 0.9z+8.25=1.5(2+2z) | | 11x^2-8x=3 | | 2x-28=-30+x | | s-8/(-8)=-1 | | V=1/3Ah | | 18/25-4/35 | | -1(x-27)+3(x+3)=9x-59 | | 24y-(y-27)=1(y-54) | | 200x^4=-800x^3+9000x^2 | | 100=-16t^2-20t+436 | | 1+4x-21x^2=0 | | 2y+7y=180 | | C=38.48+0.50x | | 2w(w+2)=0 | | 8(p-1.25)=4(2p-0.5) |

Equations solver categories