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

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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 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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