(x+7)(x-8)=16

Simple and best practice solution for (x+7)(x-8)=16 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-8)=16 equation: 


Simplifying
(x + 7)(x + -8) = 16

Reorder the terms:
(7 + x)(x + -8) = 16

Reorder the terms:
(7 + x)(-8 + x) = 16

Multiply (7 + x) * (-8 + x)
(7(-8 + x) + x(-8 + x)) = 16
((-8 * 7 + x * 7) + x(-8 + x)) = 16
((-56 + 7x) + x(-8 + x)) = 16
(-56 + 7x + (-8 * x + x * x)) = 16
(-56 + 7x + (-8x + x2)) = 16

Combine like terms: 7x + -8x = -1x
(-56 + -1x + x2) = 16

Solving
-56 + -1x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
-56 + -16 + -1x + x2 = 16 + -16

Combine like terms: -56 + -16 = -72
-72 + -1x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-72 + -1x + x2 = 0

Factor a trinomial.
(-8 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-8, 9}

See similar equations:

| 12x+12y=126 | | 10-2(y-3)=y+1 | | 2f+4(f-3)=2(3f-5) | | r-14=63 | | 1+10x=10+x | | -3.4-4x=5.0 | | 3t-4=4t-16 | | p=r+s-1 | | -6n+6=-5n-17 | | 9x^2y+39xy-90y= | | (x-8)(x-5)=4 | | m=c+s-T | | 6w+16=5w-12 | | (X-5)-2(x-1)=0 | | -4(5x-4)=5(2-4x)+6 | | 80z^3+40z^2-75z= | | 2y+y-3=0 | | (D^2+4D+5)y=0 | | 3(2e-4)+1=-5e+11 | | 3-5x=3x-21 | | 3q^2-5q=2q^2-7q+15 | | 2x-2=4x-18 | | 1(-1)=12 | | (8x+6)-2x=34 | | 8y^2+20y+13=y^2+5y+6 | | ((2x)/(0.2-x))=8 | | (x+8)(x+5)=4 | | 8(x+6)-3(2x+9)=2(x+13.5) | | 8h-23=49 | | 9x^2+4+9x^2+4=8+3x | | 8(n-1)=52+4n | | (2x+17)x(4x-4)x(6x+9)= |

Equations solver categories