(x-7)(x-7)=(x+8)(x+8)-1

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Solution for (x-7)(x-7)=(x+8)(x+8)-1 equation:


Simplifying
(x + -7)(x + -7) = (x + 8)(x + 8) + -1

Reorder the terms:
(-7 + x)(x + -7) = (x + 8)(x + 8) + -1

Reorder the terms:
(-7 + x)(-7 + x) = (x + 8)(x + 8) + -1

Multiply (-7 + x) * (-7 + x)
(-7(-7 + x) + x(-7 + x)) = (x + 8)(x + 8) + -1
((-7 * -7 + x * -7) + x(-7 + x)) = (x + 8)(x + 8) + -1
((49 + -7x) + x(-7 + x)) = (x + 8)(x + 8) + -1
(49 + -7x + (-7 * x + x * x)) = (x + 8)(x + 8) + -1
(49 + -7x + (-7x + x2)) = (x + 8)(x + 8) + -1

Combine like terms: -7x + -7x = -14x
(49 + -14x + x2) = (x + 8)(x + 8) + -1

Reorder the terms:
49 + -14x + x2 = (8 + x)(x + 8) + -1

Reorder the terms:
49 + -14x + x2 = (8 + x)(8 + x) + -1

Multiply (8 + x) * (8 + x)
49 + -14x + x2 = (8(8 + x) + x(8 + x)) + -1
49 + -14x + x2 = ((8 * 8 + x * 8) + x(8 + x)) + -1
49 + -14x + x2 = ((64 + 8x) + x(8 + x)) + -1
49 + -14x + x2 = (64 + 8x + (8 * x + x * x)) + -1
49 + -14x + x2 = (64 + 8x + (8x + x2)) + -1

Combine like terms: 8x + 8x = 16x
49 + -14x + x2 = (64 + 16x + x2) + -1

Reorder the terms:
49 + -14x + x2 = 64 + -1 + 16x + x2

Combine like terms: 64 + -1 = 63
49 + -14x + x2 = 63 + 16x + x2

Add '-1x2' to each side of the equation.
49 + -14x + x2 + -1x2 = 63 + 16x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49 + -14x + 0 = 63 + 16x + x2 + -1x2
49 + -14x = 63 + 16x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49 + -14x = 63 + 16x + 0
49 + -14x = 63 + 16x

Solving
49 + -14x = 63 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
49 + -14x + -16x = 63 + 16x + -16x

Combine like terms: -14x + -16x = -30x
49 + -30x = 63 + 16x + -16x

Combine like terms: 16x + -16x = 0
49 + -30x = 63 + 0
49 + -30x = 63

Add '-49' to each side of the equation.
49 + -49 + -30x = 63 + -49

Combine like terms: 49 + -49 = 0
0 + -30x = 63 + -49
-30x = 63 + -49

Combine like terms: 63 + -49 = 14
-30x = 14

Divide each side by '-30'.
x = -0.4666666667

Simplifying
x = -0.4666666667

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