(4-x)(4+x)+2x=1-(x-5)(x+5)

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Solution for (4-x)(4+x)+2x=1-(x-5)(x+5) equation:


Simplifying
(4 + -1x)(4 + x) + 2x = 1 + -1(x + -5)(x + 5)

Multiply (4 + -1x) * (4 + x)
(4(4 + x) + -1x * (4 + x)) + 2x = 1 + -1(x + -5)(x + 5)
((4 * 4 + x * 4) + -1x * (4 + x)) + 2x = 1 + -1(x + -5)(x + 5)
((16 + 4x) + -1x * (4 + x)) + 2x = 1 + -1(x + -5)(x + 5)
(16 + 4x + (4 * -1x + x * -1x)) + 2x = 1 + -1(x + -5)(x + 5)
(16 + 4x + (-4x + -1x2)) + 2x = 1 + -1(x + -5)(x + 5)

Combine like terms: 4x + -4x = 0
(16 + 0 + -1x2) + 2x = 1 + -1(x + -5)(x + 5)
(16 + -1x2) + 2x = 1 + -1(x + -5)(x + 5)

Reorder the terms:
16 + 2x + -1x2 = 1 + -1(x + -5)(x + 5)

Reorder the terms:
16 + 2x + -1x2 = 1 + -1(-5 + x)(x + 5)

Reorder the terms:
16 + 2x + -1x2 = 1 + -1(-5 + x)(5 + x)

Multiply (-5 + x) * (5 + x)
16 + 2x + -1x2 = 1 + -1(-5(5 + x) + x(5 + x))
16 + 2x + -1x2 = 1 + -1((5 * -5 + x * -5) + x(5 + x))
16 + 2x + -1x2 = 1 + -1((-25 + -5x) + x(5 + x))
16 + 2x + -1x2 = 1 + -1(-25 + -5x + (5 * x + x * x))
16 + 2x + -1x2 = 1 + -1(-25 + -5x + (5x + x2))

Combine like terms: -5x + 5x = 0
16 + 2x + -1x2 = 1 + -1(-25 + 0 + x2)
16 + 2x + -1x2 = 1 + -1(-25 + x2)
16 + 2x + -1x2 = 1 + (-25 * -1 + x2 * -1)
16 + 2x + -1x2 = 1 + (25 + -1x2)

Combine like terms: 1 + 25 = 26
16 + 2x + -1x2 = 26 + -1x2

Add 'x2' to each side of the equation.
16 + 2x + -1x2 + x2 = 26 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
16 + 2x + 0 = 26 + -1x2 + x2
16 + 2x = 26 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
16 + 2x = 26 + 0
16 + 2x = 26

Solving
16 + 2x = 26

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 2x = 26 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 26 + -16
2x = 26 + -16

Combine like terms: 26 + -16 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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