(x-9)(x-9)=12

Simple and best practice solution for (x-9)(x-9)=12 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-9)(x-9)=12 equation:


Simplifying
(x + -9)(x + -9) = 12

Reorder the terms:
(-9 + x)(x + -9) = 12

Reorder the terms:
(-9 + x)(-9 + x) = 12

Multiply (-9 + x) * (-9 + x)
(-9(-9 + x) + x(-9 + x)) = 12
((-9 * -9 + x * -9) + x(-9 + x)) = 12
((81 + -9x) + x(-9 + x)) = 12
(81 + -9x + (-9 * x + x * x)) = 12
(81 + -9x + (-9x + x2)) = 12

Combine like terms: -9x + -9x = -18x
(81 + -18x + x2) = 12

Solving
81 + -18x + x2 = 12

Solving for variable 'x'.

Reorder the terms:
81 + -12 + -18x + x2 = 12 + -12

Combine like terms: 81 + -12 = 69
69 + -18x + x2 = 12 + -12

Combine like terms: 12 + -12 = 0
69 + -18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-69' to each side of the equation.
69 + -18x + -69 + x2 = 0 + -69

Reorder the terms:
69 + -69 + -18x + x2 = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -18x + x2 = 0 + -69
-18x + x2 = 0 + -69

Combine like terms: 0 + -69 = -69
-18x + x2 = -69

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = -69 + 81

Reorder the terms:
81 + -18x + x2 = -69 + 81

Combine like terms: -69 + 81 = 12
81 + -18x + x2 = 12

Factor a perfect square on the left side:
(x + -9)(x + -9) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting 
(x + -9) equal to 3.464101615 and -3.464101615.

Subproblem 1

x + -9 = 3.464101615 Simplifying x + -9 = 3.464101615 Reorder the terms: -9 + x = 3.464101615 Solving -9 + x = 3.464101615 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 3.464101615 + 9 Combine like terms: -9 + 9 = 0 0 + x = 3.464101615 + 9 x = 3.464101615 + 9 Combine like terms: 3.464101615 + 9 = 12.464101615 x = 12.464101615 Simplifying x = 12.464101615

Subproblem 2

x + -9 = -3.464101615 Simplifying x + -9 = -3.464101615 Reorder the terms: -9 + x = -3.464101615 Solving -9 + x = -3.464101615 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = -3.464101615 + 9 Combine like terms: -9 + 9 = 0 0 + x = -3.464101615 + 9 x = -3.464101615 + 9 Combine like terms: -3.464101615 + 9 = 5.535898385 x = 5.535898385 Simplifying x = 5.535898385

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.464101615, 5.535898385}

See similar equations:

| -10=da | | 2N+3=6-N | | 4/3x=8/9 | | 7.5-0.25x=0 | | n/2+7=22 | | x+5/6=9/4 | | 87-3x=42x+17 | | 4=-4(4p-9) | | a+1.2=5.2 | | 2s-8-7=-19 | | 25-3/7x=19+4/7x | | 2(s-4)-7=22 | | N/2=6 | | x+1=6x+11 | | 9x+5-4x=-2 | | (3x+4)(3x+4)=18 | | 3c-2(c-9)=2+2c | | 7x/8-2=x | | 6+(-82)-3= | | -3d-3=-15 | | 0.5x-0.3x-2=-6 | | 14x-48=13x-21 | | 4d+c-d= | | -8-6=12-10x | | 5/6x+18-1/6x=6 | | -34-2x=10x | | 20a^2-39a+18=0 | | -5/69= | | 3.3d=23.43 | | 2b^2-3=5b | | 3c-2c-18=2+2c | | 7(5x-72)= |

Equations solver categories