(x-12)(x-12)=49

Simple and best practice solution for (x-12)(x-12)=49 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-12)(x-12)=49 equation: 


Simplifying
(x + -12)(x + -12) = 49

Reorder the terms:
(-12 + x)(x + -12) = 49

Reorder the terms:
(-12 + x)(-12 + x) = 49

Multiply (-12 + x) * (-12 + x)
(-12(-12 + x) + x(-12 + x)) = 49
((-12 * -12 + x * -12) + x(-12 + x)) = 49
((144 + -12x) + x(-12 + x)) = 49
(144 + -12x + (-12 * x + x * x)) = 49
(144 + -12x + (-12x + x2)) = 49

Combine like terms: -12x + -12x = -24x
(144 + -24x + x2) = 49

Solving
144 + -24x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
144 + -49 + -24x + x2 = 49 + -49

Combine like terms: 144 + -49 = 95
95 + -24x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
95 + -24x + x2 = 0

Factor a trinomial.
(5 + -1x)(19 + -1x) = 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 '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {5, 19}

See similar equations:

| -3-(3)(-3)-(-3)= | | -25=5v | | -9(1+6v)=-31 | | -13w=26 | | (4x)*(12x)= | | x*(x+2)=63 | | 2x^3-6x^2-8x+24=0 | | 10(S+6)=-83 | | 4w+3(w-5)=6 | | 7x+2-3x=9 | | 2x-12+80=180 | | 4xy^3=z | | 9x+3y=-45 | | -30=3y+5(y+2) | | 25-7a=-4(a-1) | | -b^2=0 | | 3(-3)-x= | | 4xy^3=y | | -5g^2+400=-100 | | 9x^3-15x=0 | | -7=3(u-5)-5u | | 7(8d-4)=22 | | -6=1(6)+b | | 7y-1=2(y+6)-2 | | 3k^2=15 | | 12n+15+n=-6n+7-3 | | 34=3(n-5) | | 3x-8=23+6 | | 8(X-20)=40 | | 7(4S+4)=140 | | 2(26.285)+10= | | 6y(y+3)=-2(3y-9) |

Equations solver categories