(x+6)(x+6)=-49

Simple and best practice solution for (x+6)(x+6)=-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+6)(x+6)=-49 equation:


Simplifying
(x + 6)(x + 6) = -49

Reorder the terms:
(6 + x)(x + 6) = -49

Reorder the terms:
(6 + x)(6 + x) = -49

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x)) = -49
((6 * 6 + x * 6) + x(6 + x)) = -49
((36 + 6x) + x(6 + x)) = -49
(36 + 6x + (6 * x + x * x)) = -49
(36 + 6x + (6x + x2)) = -49

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2) = -49

Solving
36 + 12x + x2 = -49

Solving for variable 'x'.

Reorder the terms:
36 + 49 + 12x + x2 = -49 + 49

Combine like terms: 36 + 49 = 85
85 + 12x + x2 = -49 + 49

Combine like terms: -49 + 49 = 0
85 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-85' to each side of the equation.
85 + 12x + -85 + x2 = 0 + -85

Reorder the terms:
85 + -85 + 12x + x2 = 0 + -85

Combine like terms: 85 + -85 = 0
0 + 12x + x2 = 0 + -85
12x + x2 = 0 + -85

Combine like terms: 0 + -85 = -85
12x + x2 = -85

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = -85 + 36

Reorder the terms:
36 + 12x + x2 = -85 + 36

Combine like terms: -85 + 36 = -49
36 + 12x + x2 = -49

Factor a perfect square on the left side:
(x + 6)(x + 6) = -49

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 5z+8=2z+35 | | (x-5)(x-5)=64 | | 7x^2+4x=16 | | 0.10(x+200)=40 | | (x/2)+12=25 | | 0.10(x+20)=40 | | 11+4(12-7)=x | | 6t-5=4-3t | | 4.75x+1.56Y=192 | | 6u^2=x | | 5=11x-2x^2 | | 6u^2= | | m(mx-3)=4(4x-3) | | 3n^2=19-n | | 5t^2=15t | | -7g+2-g=6(-3g+12) | | 5x^2=7x+24 | | -38=6-4(-2k+7) | | ln(-3x+2)=ln(14) | | y^2+9y+9=0 | | 8u^2+6u^2=c^2 | | 7x^2+42x+28=0 | | 7y+16=2y | | -20r=5(-3r+8)+5r | | 4(3+x)=35 | | (mx-3)=4(4x-3) | | 8u^2+6u^2= | | 7x+4x-205=70 | | 20-6(8s-20)=-18s-20-20 | | 11x^2-6x=15 | | x=0.2(300+x) | | 4x-144=1 |

Equations solver categories