(x-7)(x-7)=81

Simple and best practice solution for (x-7)(x-7)=81 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-7)=81 equation: 


Simplifying
(x + -7)(x + -7) = 81

Reorder the terms:
(-7 + x)(x + -7) = 81

Reorder the terms:
(-7 + x)(-7 + x) = 81

Multiply (-7 + x) * (-7 + x)
(-7(-7 + x) + x(-7 + x)) = 81
((-7 * -7 + x * -7) + x(-7 + x)) = 81
((49 + -7x) + x(-7 + x)) = 81
(49 + -7x + (-7 * x + x * x)) = 81
(49 + -7x + (-7x + x2)) = 81

Combine like terms: -7x + -7x = -14x
(49 + -14x + x2) = 81

Solving
49 + -14x + x2 = 81

Solving for variable 'x'.

Reorder the terms:
49 + -81 + -14x + x2 = 81 + -81

Combine like terms: 49 + -81 = -32
-32 + -14x + x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-32 + -14x + x2 = 0

Factor a trinomial.
(-2 + -1x)(16 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

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

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

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-2, 16}

See similar equations:

| 2x-3x=4+5x+4x | | -31=7y+6(y-3) | | 6x-5=-5+6x | | 8-15x-5-6x=6 | | 7+ln(x-1)=8 | | 4y-8=22+6y | | 6x+0=6x | | 6k^2-11k-7=0 | | Y=-16T^2+20t | | 2a+2=4a-12 | | x=3.3+.1*x | | -11t=15-6r | | x+.034x-15870=0 | | x+.034-15870=0 | | (7-v)(5v-4)=0 | | 5e-3=2e | | 5+n=18+.8n | | 2*logx*81=8 | | 2+4lnx=38 | | -12=2(w+3)-8w | | log^15(-4n-1)=log^15(n+4) | | -24=3(u-5)-6u | | 0=3t^6-21t^5-24t^4 | | 2x^2+15x+1=0 | | -96t^3-84t^2+12t=0 | | z^2-24+144=0 | | X^2-9x+20.25= | | g(-5)=-5x+5 | | -14+5x=7y | | ln(x)-ln(5)=13 | | -(-7-5x)=31-x | | 4+x=2x |

Equations solver categories