(x+2)(x-7-5i)(x-7+5i)=0

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Solution for (x+2)(x-7-5i)(x-7+5i)=0 equation:

Simplifying
(x + 2)(x + -7 + -5i)(x + -7 + 5i) = 0

Reorder the terms:
(2 + x)(x + -7 + -5i)(x + -7 + 5i) = 0

Reorder the terms:
(2 + x)(-7 + -5i + x)(x + -7 + 5i) = 0

Reorder the terms:
(2 + x)(-7 + -5i + x)(-7 + 5i + x) = 0

Multiply (2 + x) * (-7 + -5i + x)
(2(-7 + -5i + x) + x(-7 + -5i + x))(-7 + 5i + x) = 0
((-7 * 2 + -5i * 2 + x * 2) + x(-7 + -5i + x))(-7 + 5i + x) = 0
((-14 + -10i + 2x) + x(-7 + -5i + x))(-7 + 5i + x) = 0
(-14 + -10i + 2x + (-7 * x + -5i * x + x * x))(-7 + 5i + x) = 0

Reorder the terms:
(-14 + -10i + 2x + (-5ix + -7x + x²))(-7 + 5i + x) = 0
(-14 + -10i + 2x + (-5ix + -7x + x²))(-7 + 5i + x) = 0

Reorder the terms:
(-14 + -10i + -5ix + 2x + -7x + x²)(-7 + 5i + x) = 0

Combine like terms: 2x + -7x = -5x
(-14 + -10i + -5ix + -5x + x²)(-7 + 5i + x) = 0

Multiply (-14 + -10i + -5ix + -5x + x²) * (-7 + 5i + x)
(-14(-7 + 5i + x) + -10i * (-7 + 5i + x) + -5ix * (-7 + 5i + x) + -5x * (-7 + 5i + x) + x²(-7 + 5i + x)) = 0
((-7 * -14 + 5i * -14 + x * -14) + -10i * (-7 + 5i + x) + -5ix * (-7 + 5i + x) + -5x * (-7 + 5i + x) + x²(-7 + 5i + x)) = 0
((98 + -70i + -14x) + -10i * (-7 + 5i + x) + -5ix * (-7 + 5i + x) + -5x * (-7 + 5i + x) + x²(-7 + 5i + x)) = 0
(98 + -70i + -14x + (-7 * -10i + 5i * -10i + x * -10i) + -5ix * (-7 + 5i + x) + -5x * (-7 + 5i + x) + x²(-7 + 5i + x)) = 0

Reorder the terms:
(98 + -70i + -14x + (70i + -10ix + -50i²) + -5ix * (-7 + 5i + x) + -5x * (-7 + 5i + x) + x²(-7 + 5i + x)) = 0
(98 + -70i + -14x + (70i + -10ix + -50i²) + -5ix * (-7 + 5i + x) + -5x * (-7 + 5i + x) + x²(-7 + 5i + x)) = 0
(98 + -70i + -14x + 70i + -10ix + -50i² + (-7 * -5ix + 5i * -5ix + x * -5ix) + -5x * (-7 + 5i + x) + x²(-7 + 5i + x)) = 0

Reorder the terms:
(98 + -70i + -14x + 70i + -10ix + -50i² + (35ix + -5ix² + -25i²x) + -5x * (-7 + 5i + x) + x²(-7 + 5i + x)) = 0
(98 + -70i + -14x + 70i + -10ix + -50i² + (35ix + -5ix² + -25i²x) + -5x * (-7 + 5i + x) + x²(-7 + 5i + x)) = 0
(98 + -70i + -14x + 70i + -10ix + -50i² + 35ix + -5ix² + -25i²x + (-7 * -5x + 5i * -5x + x * -5x) + x²(-7 + 5i + x)) = 0

Reorder the terms:
(98 + -70i + -14x + 70i + -10ix + -50i² + 35ix + -5ix² + -25i²x + (-25ix + 35x + -5x²) + x²(-7 + 5i + x)) = 0
(98 + -70i + -14x + 70i + -10ix + -50i² + 35ix + -5ix² + -25i²x + (-25ix + 35x + -5x²) + x²(-7 + 5i + x)) = 0
(98 + -70i + -14x + 70i + -10ix + -50i² + 35ix + -5ix² + -25i²x + -25ix + 35x + -5x² + (-7 * x² + 5i * x² + x * x²)) = 0

Reorder the terms:
(98 + -70i + -14x + 70i + -10ix + -50i² + 35ix + -5ix² + -25i²x + -25ix + 35x + -5x² + (5ix² + -7x² + x³)) = 0
(98 + -70i + -14x + 70i + -10ix + -50i² + 35ix + -5ix² + -25i²x + -25ix + 35x + -5x² + (5ix² + -7x² + x³)) = 0

Reorder the terms:
(98 + -70i + 70i + -10ix + 35ix + -25ix + -5ix² + 5ix² + -50i² + -25i²x + -14x + 35x + -5x² + -7x² + x³) = 0

Combine like terms: -70i + 70i = 0
(98 + 0 + -10ix + 35ix + -25ix + -5ix² + 5ix² + -50i² + -25i²x + -14x + 35x + -5x² + -7x² + x³) = 0
(98 + -10ix + 35ix + -25ix + -5ix² + 5ix² + -50i² + -25i²x + -14x + 35x + -5x² + -7x² + x³) = 0

Combine like terms: -10ix + 35ix = 25ix
(98 + 25ix + -25ix + -5ix² + 5ix² + -50i² + -25i²x + -14x + 35x + -5x² + -7x² + x³) = 0

Combine like terms: 25ix + -25ix = 0
(98 + 0 + -5ix² + 5ix² + -50i² + -25i²x + -14x + 35x + -5x² + -7x² + x³) = 0
(98 + -5ix² + 5ix² + -50i² + -25i²x + -14x + 35x + -5x² + -7x² + x³) = 0

Combine like terms: -5ix² + 5ix² = 0
(98 + 0 + -50i² + -25i²x + -14x + 35x + -5x² + -7x² + x³) = 0
(98 + -50i² + -25i²x + -14x + 35x + -5x² + -7x² + x³) = 0

Combine like terms: -14x + 35x = 21x
(98 + -50i² + -25i²x + 21x + -5x² + -7x² + x³) = 0

Combine like terms: -5x² + -7x² = -12x²
(98 + -50i² + -25i²x + 21x + -12x² + x³) = 0

Solving
98 + -50i² + -25i²x + 21x + -12x² + x³ = 0

Solving for variable 'i'.

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

Add '-98' to each side of the equation.
98 + -50i² + -25i²x + 21x + -12x² + -98 + x³ = 0 + -98

Reorder the terms:
98 + -98 + -50i² + -25i²x + 21x + -12x² + x³ = 0 + -98

Combine like terms: 98 + -98 = 0
0 + -50i² + -25i²x + 21x + -12x² + x³ = 0 + -98
-50i² + -25i²x + 21x + -12x² + x³ = 0 + -98

Combine like terms: 0 + -98 = -98
-50i² + -25i²x + 21x + -12x² + x³ = -98

Add '-21x' to each side of the equation.
-50i² + -25i²x + 21x + -12x² + -21x + x³ = -98 + -21x

Reorder the terms:
-50i² + -25i²x + 21x + -21x + -12x² + x³ = -98 + -21x

Combine like terms: 21x + -21x = 0
-50i² + -25i²x + 0 + -12x² + x³ = -98 + -21x
-50i² + -25i²x + -12x² + x³ = -98 + -21x

Add '12x²' to each side of the equation.
-50i² + -25i²x + -12x² + 12x² + x³ = -98 + -21x + 12x²

Combine like terms: -12x² + 12x² = 0
-50i² + -25i²x + 0 + x³ = -98 + -21x + 12x²
-50i² + -25i²x + x³ = -98 + -21x + 12x²

Add '-1x³' to each side of the equation.
-50i² + -25i²x + x³ + -1x³ = -98 + -21x + 12x² + -1x³

Combine like terms: x³ + -1x³ = 0
-50i² + -25i²x + 0 = -98 + -21x + 12x² + -1x³
-50i² + -25i²x = -98 + -21x + 12x² + -1x³

Reorder the terms:
98 + -50i² + -25i²x + 21x + -12x² + x³ = -98 + -21x + 12x² + -1x³ + 98 + 21x + -12x² + x³

Reorder the terms:
98 + -50i² + -25i²x + 21x + -12x² + x³ = -98 + 98 + -21x + 21x + 12x² + -12x² + -1x³ + x³

Combine like terms: -98 + 98 = 0
98 + -50i² + -25i²x + 21x + -12x² + x³ = 0 + -21x + 21x + 12x² + -12x² + -1x³ + x³
98 + -50i² + -25i²x + 21x + -12x² + x³ = -21x + 21x + 12x² + -12x² + -1x³ + x³

Combine like terms: -21x + 21x = 0
98 + -50i² + -25i²x + 21x + -12x² + x³ = 0 + 12x² + -12x² + -1x³ + x³
98 + -50i² + -25i²x + 21x + -12x² + x³ = 12x² + -12x² + -1x³ + x³

Combine like terms: 12x² + -12x² = 0
98 + -50i² + -25i²x + 21x + -12x² + x³ = 0 + -1x³ + x³
98 + -50i² + -25i²x + 21x + -12x² + x³ = -1x³ + x³

Combine like terms: -1x³ + x³ = 0
98 + -50i² + -25i²x + 21x + -12x² + x³ = 0

The solution to this equation could not be determined.

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(x+2)(x-7-5i)(x-7+5i)=0

Simple and best practice solution for (x+2)(x-7-5i)(x-7+5i)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (x+2)(x-7-5i)(x-7+5i)=0 equation:

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