If(x+1)2-(x-1)2=32

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Solution for If(x+1)2-(x-1)2=32 equation: 


Simplifying
If(x + 1) * 2 + -1(x + -1) * 2 = 32

Reorder the terms:
fI(1 + x) * 2 + -1(x + -1) * 2 = 32

Reorder the terms for easier multiplication:
2fI(1 + x) + -1(x + -1) * 2 = 32
(1 * 2fI + x * 2fI) + -1(x + -1) * 2 = 32
(2fI + 2fxI) + -1(x + -1) * 2 = 32

Reorder the terms:
2fI + 2fxI + -1(-1 + x) * 2 = 32

Reorder the terms for easier multiplication:
2fI + 2fxI + -1 * 2(-1 + x) = 32

Multiply -1 * 2
2fI + 2fxI + -2(-1 + x) = 32
2fI + 2fxI + (-1 * -2 + x * -2) = 32
2fI + 2fxI + (2 + -2x) = 32

Reorder the terms:
2 + 2fI + 2fxI + -2x = 32

Solving
2 + 2fI + 2fxI + -2x = 32

Solving for variable 'f'.

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

Add '-2' to each side of the equation.
2 + 2fI + 2fxI + -2 + -2x = 32 + -2

Reorder the terms:
2 + -2 + 2fI + 2fxI + -2x = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 2fI + 2fxI + -2x = 32 + -2
2fI + 2fxI + -2x = 32 + -2

Combine like terms: 32 + -2 = 30
2fI + 2fxI + -2x = 30

Add '2x' to each side of the equation.
2fI + 2fxI + -2x + 2x = 30 + 2x

Combine like terms: -2x + 2x = 0
2fI + 2fxI + 0 = 30 + 2x
2fI + 2fxI = 30 + 2x

Reorder the terms:
-30 + 2fI + 2fxI + -2x = 30 + 2x + -30 + -2x

Reorder the terms:
-30 + 2fI + 2fxI + -2x = 30 + -30 + 2x + -2x

Combine like terms: 30 + -30 = 0
-30 + 2fI + 2fxI + -2x = 0 + 2x + -2x
-30 + 2fI + 2fxI + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 2fI + 2fxI + -2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + fI + fxI + -1x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-15 + fI + fxI + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + fI + fxI + -1x = 0

Solving
-15 + fI + fxI + -1x = 0

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

Add '15' to each side of the equation.
-15 + fI + fxI + 15 + -1x = 0 + 15

Reorder the terms:
-15 + 15 + fI + fxI + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + fI + fxI + -1x = 0 + 15
fI + fxI + -1x = 0 + 15

Combine like terms: 0 + 15 = 15
fI + fxI + -1x = 15

Add 'x' to each side of the equation.
fI + fxI + -1x + x = 15 + x

Combine like terms: -1x + x = 0
fI + fxI + 0 = 15 + x
fI + fxI = 15 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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