(2-x)(2+x)+(x+3)(x+3)=x-7

Simple and best practice solution for (2-x)(2+x)+(x+3)(x+3)=x-7 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 (2-x)(2+x)+(x+3)(x+3)=x-7 equation:


Simplifying
(2 + -1x)(2 + x) + (x + 3)(x + 3) = x + -7

Multiply (2 + -1x) * (2 + x)
(2(2 + x) + -1x * (2 + x)) + (x + 3)(x + 3) = x + -7
((2 * 2 + x * 2) + -1x * (2 + x)) + (x + 3)(x + 3) = x + -7
((4 + 2x) + -1x * (2 + x)) + (x + 3)(x + 3) = x + -7
(4 + 2x + (2 * -1x + x * -1x)) + (x + 3)(x + 3) = x + -7
(4 + 2x + (-2x + -1x2)) + (x + 3)(x + 3) = x + -7

Combine like terms: 2x + -2x = 0
(4 + 0 + -1x2) + (x + 3)(x + 3) = x + -7
(4 + -1x2) + (x + 3)(x + 3) = x + -7

Reorder the terms:
4 + -1x2 + (3 + x)(x + 3) = x + -7

Reorder the terms:
4 + -1x2 + (3 + x)(3 + x) = x + -7

Multiply (3 + x) * (3 + x)
4 + -1x2 + (3(3 + x) + x(3 + x)) = x + -7
4 + -1x2 + ((3 * 3 + x * 3) + x(3 + x)) = x + -7
4 + -1x2 + ((9 + 3x) + x(3 + x)) = x + -7
4 + -1x2 + (9 + 3x + (3 * x + x * x)) = x + -7
4 + -1x2 + (9 + 3x + (3x + x2)) = x + -7

Combine like terms: 3x + 3x = 6x
4 + -1x2 + (9 + 6x + x2) = x + -7

Reorder the terms:
4 + 9 + 6x + -1x2 + x2 = x + -7

Combine like terms: 4 + 9 = 13
13 + 6x + -1x2 + x2 = x + -7

Combine like terms: -1x2 + x2 = 0
13 + 6x + 0 = x + -7
13 + 6x = x + -7

Reorder the terms:
13 + 6x = -7 + x

Solving
13 + 6x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + 6x + -1x = -7 + x + -1x

Combine like terms: 6x + -1x = 5x
13 + 5x = -7 + x + -1x

Combine like terms: x + -1x = 0
13 + 5x = -7 + 0
13 + 5x = -7

Add '-13' to each side of the equation.
13 + -13 + 5x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = -7 + -13
5x = -7 + -13

Combine like terms: -7 + -13 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

See similar equations:

| 5x+13+12x+1=37 | | 8x-62=3x+18 | | -76-5x=-12x+57 | | 10x-3=13x+97 | | 9+3=6 | | 5a-18=-27 | | x=66000+0.07x | | 2y+4-t+3= | | -4x-81=-8x+31 | | -62+12x=2x+138 | | 0=4x^3-6x^1/2 | | 6(3x-8)=24 | | -7(h-4)+12h=38 | | (2-x)(2+x)+(x+3)(x+3)=x+7 | | 5f-3h+4f-2g+2f= | | -50+9x=4x+20 | | 9p+4-13p=-28 | | 1/2x0 | | 4e-2(5e-12)=28 | | 4x^3-6x^1/2 | | -90+11x=3x+110 | | 2k=45-k | | a+0.9a=-9.5 | | 63=3x+15 | | -7/9x=56 | | -69+7x=126-8x | | 7m-8-5m=-6 | | y-4=8-y | | -5(5n+1)=-105 | | -69+7x=126-8r | | 4y=54-5y | | 12x-12=24 |

Equations solver categories