(4+x)*(4+x)-(x-3)*(x-3)=0

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Solution for (4+x)*(4+x)-(x-3)*(x-3)=0 equation: 


Simplifying
(4 + x)(4 + x) + -1(x + -3)(x + -3) = 0

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) + -1(x + -3)(x + -3) = 0
((4 * 4 + x * 4) + x(4 + x)) + -1(x + -3)(x + -3) = 0
((16 + 4x) + x(4 + x)) + -1(x + -3)(x + -3) = 0
(16 + 4x + (4 * x + x * x)) + -1(x + -3)(x + -3) = 0
(16 + 4x + (4x + x2)) + -1(x + -3)(x + -3) = 0

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) + -1(x + -3)(x + -3) = 0

Reorder the terms:
16 + 8x + x2 + -1(-3 + x)(x + -3) = 0

Reorder the terms:
16 + 8x + x2 + -1(-3 + x)(-3 + x) = 0

Multiply (-3 + x) * (-3 + x)
16 + 8x + x2 + -1(-3(-3 + x) + x(-3 + x)) = 0
16 + 8x + x2 + -1((-3 * -3 + x * -3) + x(-3 + x)) = 0
16 + 8x + x2 + -1((9 + -3x) + x(-3 + x)) = 0
16 + 8x + x2 + -1(9 + -3x + (-3 * x + x * x)) = 0
16 + 8x + x2 + -1(9 + -3x + (-3x + x2)) = 0

Combine like terms: -3x + -3x = -6x
16 + 8x + x2 + -1(9 + -6x + x2) = 0
16 + 8x + x2 + (9 * -1 + -6x * -1 + x2 * -1) = 0
16 + 8x + x2 + (-9 + 6x + -1x2) = 0

Reorder the terms:
16 + -9 + 8x + 6x + x2 + -1x2 = 0

Combine like terms: 16 + -9 = 7
7 + 8x + 6x + x2 + -1x2 = 0

Combine like terms: 8x + 6x = 14x
7 + 14x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
7 + 14x + 0 = 0
7 + 14x = 0

Solving
7 + 14x = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 14x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 14x = 0 + -7
14x = 0 + -7

Combine like terms: 0 + -7 = -7
14x = -7

Divide each side by '14'.
x = -0.5

Simplifying
x = -0.5

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