(x+7)(x-2)=36

Simple and best practice solution for (x+7)(x-2)=36 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+7)(x-2)=36 equation: 


Simplifying
(x + 7)(x + -2) = 36

Reorder the terms:
(7 + x)(x + -2) = 36

Reorder the terms:
(7 + x)(-2 + x) = 36

Multiply (7 + x) * (-2 + x)
(7(-2 + x) + x(-2 + x)) = 36
((-2 * 7 + x * 7) + x(-2 + x)) = 36
((-14 + 7x) + x(-2 + x)) = 36
(-14 + 7x + (-2 * x + x * x)) = 36
(-14 + 7x + (-2x + x2)) = 36

Combine like terms: 7x + -2x = 5x
(-14 + 5x + x2) = 36

Solving
-14 + 5x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
-14 + -36 + 5x + x2 = 36 + -36

Combine like terms: -14 + -36 = -50
-50 + 5x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-50 + 5x + x2 = 0

Factor a trinomial.
(-10 + -1x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 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 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-10, 5}

See similar equations:

| 124-8g=36 | | 4-8x=-6(1+3x) | | 3(4x-3)=6(2x-1) | | 63=3x+9 | | 4+12r=112 | | -11.4x+1.6=-17.6-1.8x | | 4x-3=6x+9 | | 3=2x+13 | | 7x+3=31 | | -8.7x+1.2=-79.1-1.4x | | -7k-33=-3k-7(k+3) | | 3k-5=6 | | 2x+y=26 | | 12-4z=8 | | -(3a+8)=-33+2a | | -8n-5n=-8n-15 | | 12-42=8 | | 6p+6=p+1 | | 13=7+4a | | -6p-4=p+1 | | 46=19+3u | | 297=6*(5x+7) | | -61=d+(-18) | | 20-8q=-12 | | -2x+6=x+1 | | (2x-3)(x+2)=9 | | 3x-1-7=-10+x | | -4+4v=-4+4v | | 9y-4=3y+8 | | -b-2=2b-4b | | 6=24-9y | | 2x+5y=-20graph |

Equations solver categories