(x+-5i)(x+5i)=f(x)

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Solution for (x+-5i)(x+5i)=f(x) equation:


Simplifying
(x + -5i)(x + 5i) = f(x)

Reorder the terms:
(-5i + x)(x + 5i) = f(x)

Reorder the terms:
(-5i + x)(5i + x) = f(x)

Multiply (-5i + x) * (5i + x)
(-5i * (5i + x) + x(5i + x)) = f(x)
((5i * -5i + x * -5i) + x(5i + x)) = f(x)

Reorder the terms:
((-5ix + -25i2) + x(5i + x)) = f(x)
((-5ix + -25i2) + x(5i + x)) = f(x)
(-5ix + -25i2 + (5i * x + x * x)) = f(x)
(-5ix + -25i2 + (5ix + x2)) = f(x)

Reorder the terms:
(-5ix + 5ix + -25i2 + x2) = f(x)

Combine like terms: -5ix + 5ix = 0
(0 + -25i2 + x2) = f(x)
(-25i2 + x2) = f(x)

Multiply f * x
-25i2 + x2 = fx

Solving
-25i2 + x2 = fx

Solving for variable 'i'.

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

Add '-1x2' to each side of the equation.
-25i2 + x2 + -1x2 = fx + -1x2

Combine like terms: x2 + -1x2 = 0
-25i2 + 0 = fx + -1x2
-25i2 = fx + -1x2

Divide each side by '-25'.
i2 = -0.04fx + 0.04x2

Simplifying
i2 = -0.04fx + 0.04x2

Reorder the terms:
0.04fx + i2 + -0.04x2 = -0.04fx + 0.04x2 + 0.04fx + -0.04x2

Reorder the terms:
0.04fx + i2 + -0.04x2 = -0.04fx + 0.04fx + 0.04x2 + -0.04x2

Combine like terms: -0.04fx + 0.04fx = 0.00
0.04fx + i2 + -0.04x2 = 0.00 + 0.04x2 + -0.04x2
0.04fx + i2 + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
0.04fx + i2 + -0.04x2 = 0.00

The solution to this equation could not be determined.

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