30=(x+8)(x-5)

Simple and best practice solution for 30=(x+8)(x-5) 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 30=(x+8)(x-5) equation: 


Simplifying
30 = (x + 8)(x + -5)

Reorder the terms:
30 = (8 + x)(x + -5)

Reorder the terms:
30 = (8 + x)(-5 + x)

Multiply (8 + x) * (-5 + x)
30 = (8(-5 + x) + x(-5 + x))
30 = ((-5 * 8 + x * 8) + x(-5 + x))
30 = ((-40 + 8x) + x(-5 + x))
30 = (-40 + 8x + (-5 * x + x * x))
30 = (-40 + 8x + (-5x + x2))

Combine like terms: 8x + -5x = 3x
30 = (-40 + 3x + x2)

Solving
30 = -40 + 3x + x2

Solving for variable 'x'.

Combine like terms: 30 + 40 = 70
70 + -3x + -1x2 = -40 + 3x + x2 + 40 + -3x + -1x2

Reorder the terms:
70 + -3x + -1x2 = -40 + 40 + 3x + -3x + x2 + -1x2

Combine like terms: -40 + 40 = 0
70 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
70 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
70 + -3x + -1x2 = 0 + x2 + -1x2
70 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
70 + -3x + -1x2 = 0

Factor a trinomial.
(7 + -1x)(10 + x) = 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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 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 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {7, -10}

See similar equations:

| 15b^3+20b^2= | | 0=sin(5x) | | 12x+14+10x=58 | | -9(-6n-11)=6(-6+n) | | 0=-16(16)2-16t+60 | | 8(9-k)=8(1+k) | | -5(2+7x)-3x= | | (2/3z^2y^5)^0(0.5y^-8)^0 | | -2(-5-n)+5=-3+5n | | -31=4x+-3 | | n/1.9=-3.7 | | (2/3z^2y^5)(0.5y^-8)^0 | | (3x+2)(x)=165 | | -3(1-2p)=7+8p | | 3(m+4)-m=-3+8m | | 8x+10=24x+80 | | (-2b^6+3b^4-b^2)-(b^6+2b^4+2b^2)= | | -5x/9-2=-1 | | 7+log(8x)=25-2logx | | 56s^2+23sa-63a^2= | | -10=6v+4v | | -cos^2x+sin^2x=cosx+1 | | 8x+10=26x+80 | | 24+2y=6 | | n+6-6n=-14 | | 36x^2-112x+120=0 | | 1/4(10x-3)=3 | | 6336=88x | | 5x=3(x+4)+2 | | X+18+2x=-5-2x-12 | | 6p^2-21p-45=0 | | log(7)=5x+2 |

Equations solver categories