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

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


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

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

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

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

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

Solving
36 = -14 + 5x + x2

Solving for variable 'x'.

Combine like terms: 36 + 14 = 50
50 + -5x + -1x2 = -14 + 5x + x2 + 14 + -5x + -1x2

Reorder the terms:
50 + -5x + -1x2 = -14 + 14 + 5x + -5x + x2 + -1x2

Combine like terms: -14 + 14 = 0
50 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
50 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
50 + -5x + -1x2 = 0 + x2 + -1x2
50 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
50 + -5x + -1x2 = 0

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

Subproblem 1

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

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 = {5, -10}

See similar equations:

| .8n=50337 | | z^2-10z=-17 | | 15p+p=7p-12p | | s^2+7s=-20 | | 2(3-2n)=-(8n+6) | | 6n+5n-74n=6y*n-700 | | 48x^6+32x^2-26x^5= | | (-2-i)+(1+6i)= | | 3(x-4)=4x | | (x)(2x+7)=400 | | 3(x-4)3=4x | | .40(y+10)+.60y=2 | | ax+bx=x | | 4n+6n=6n+1y | | (x)(2x+9)=320 | | x/12-9=-6 | | V=-10 | | x=8+7 | | 3(m-n)=mn | | 2x-1y=2 | | 16-2m^2=0 | | X-9=6-(2x+3) | | 6=4(x+8)+2x | | x^3-3x^2+4=-x^2+2x-5 | | 10=-6+4v | | 10x^2-19x=15 | | x^3-2x^2+2x+9=0 | | 11(7x-21)=-693 | | 20y+5=15+5y | | -4(x-3)=-2(-3-x) | | 22+3x=-4(x-2) | | -4(x-5)=19-4x |

Equations solver categories