(x-5)(x+3)=65

Simple and best practice solution for (x-5)(x+3)=65 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-5)(x+3)=65 equation: 


Simplifying
(x + -5)(x + 3) = 65

Reorder the terms:
(-5 + x)(x + 3) = 65

Reorder the terms:
(-5 + x)(3 + x) = 65

Multiply (-5 + x) * (3 + x)
(-5(3 + x) + x(3 + x)) = 65
((3 * -5 + x * -5) + x(3 + x)) = 65
((-15 + -5x) + x(3 + x)) = 65
(-15 + -5x + (3 * x + x * x)) = 65
(-15 + -5x + (3x + x2)) = 65

Combine like terms: -5x + 3x = -2x
(-15 + -2x + x2) = 65

Solving
-15 + -2x + x2 = 65

Solving for variable 'x'.

Reorder the terms:
-15 + -65 + -2x + x2 = 65 + -65

Combine like terms: -15 + -65 = -80
-80 + -2x + x2 = 65 + -65

Combine like terms: 65 + -65 = 0
-80 + -2x + x2 = 0

Factor a trinomial.
(-8 + -1x)(10 + -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 '(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
Solution
x = {-8, 10}

See similar equations:

| 4x+4x+12=8 | | 3cos(2x)=0 | | 4x-4x+12=8 | | -10x^2-5x+c=0 | | X^3-7x^2+11x+3=0 | | -4t^2+24t+27=0 | | 4t^2+24t+27=0 | | 2.5=10.5+x | | 2x=-5+3x^2 | | 3x^2-10x+2k-1=0 | | 4x-14=6x+4 | | 3x+3c=cx-2 | | 2+4x=-16+x | | 73y=8(9y+10) | | 5c-3=5x-(x+2)-1 | | N=0.5s+-1z | | 7-1/2x=-4 | | 8x-75=5x-12 | | 5x-18=y | | 5y^2-13y-28= | | 1x-1=5x-4x-4+25 | | -99/x=2 | | 3x+19=56 | | V=(24-2x)(18-2x)x | | -3x+14=-7 | | 9x+7y=19.7 | | 6r^4/r^7 | | 2e^3x-1=e^2x+1 | | 3(3x+5y)-9x-7y=3(19.825)-19.7 | | 2x(x-3)=8(x-3) | | X^8/x^9 | | -8-3=10x+3-9x |

Equations solver categories