(x-3)(x+3)-[-(2-x)+5]=2+x(x+1)

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Solution for (x-3)(x+3)-[-(2-x)+5]=2+x(x+1) equation:


Simplifying
(x + -3)(x + 3) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1)

Reorder the terms:
(-3 + x)(x + 3) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1)

Reorder the terms:
(-3 + x)(3 + x) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1)

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1)
((3 * -3 + x * -3) + x(3 + x)) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1)
((-9 + -3x) + x(3 + x)) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1)
(-9 + -3x + (3 * x + x * x)) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1)
(-9 + -3x + (3x + x2)) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1)

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1)
(-9 + x2) + -1[-1(2 + -1x) + 5] = 2 + x(x + 1)
-9 + x2 + -1[(2 * -1 + -1x * -1) + 5] = 2 + x(x + 1)
-9 + x2 + -1[(-2 + 1x) + 5] = 2 + x(x + 1)

Reorder the terms:
-9 + x2 + -1[-2 + 5 + 1x] = 2 + x(x + 1)

Combine like terms: -2 + 5 = 3
-9 + x2 + -1[3 + 1x] = 2 + x(x + 1)
-9 + x2 + [3 * -1 + 1x * -1] = 2 + x(x + 1)
-9 + x2 + [-3 + -1x] = 2 + x(x + 1)

Reorder the terms:
-9 + -3 + -1x + x2 = 2 + x(x + 1)

Combine like terms: -9 + -3 = -12
-12 + -1x + x2 = 2 + x(x + 1)

Reorder the terms:
-12 + -1x + x2 = 2 + x(1 + x)
-12 + -1x + x2 = 2 + (1 * x + x * x)
-12 + -1x + x2 = 2 + (1x + x2)

Add '-1x2' to each side of the equation.
-12 + -1x + x2 + -1x2 = 2 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + -1x + 0 = 2 + 1x + x2 + -1x2
-12 + -1x = 2 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + -1x = 2 + 1x + 0
-12 + -1x = 2 + 1x

Solving
-12 + -1x = 2 + 1x

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.
-12 + -1x + -1x = 2 + 1x + -1x

Combine like terms: -1x + -1x = -2x
-12 + -2x = 2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-12 + -2x = 2 + 0
-12 + -2x = 2

Add '12' to each side of the equation.
-12 + 12 + -2x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 2 + 12
-2x = 2 + 12

Combine like terms: 2 + 12 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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