540=x(x-45)x+(x-45)(x-45)

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Solution for 540=x(x-45)x+(x-45)(x-45) equation:


Simplifying
540 = x(x + -45) * x + (x + -45)(x + -45)

Reorder the terms:
540 = x(-45 + x) * x + (x + -45)(x + -45)

Reorder the terms for easier multiplication:
540 = x * x(-45 + x) + (x + -45)(x + -45)

Multiply x * x
540 = x2(-45 + x) + (x + -45)(x + -45)
540 = (-45 * x2 + x * x2) + (x + -45)(x + -45)
540 = (-45x2 + x3) + (x + -45)(x + -45)

Reorder the terms:
540 = -45x2 + x3 + (-45 + x)(x + -45)

Reorder the terms:
540 = -45x2 + x3 + (-45 + x)(-45 + x)

Multiply (-45 + x) * (-45 + x)
540 = -45x2 + x3 + (-45(-45 + x) + x(-45 + x))
540 = -45x2 + x3 + ((-45 * -45 + x * -45) + x(-45 + x))
540 = -45x2 + x3 + ((2025 + -45x) + x(-45 + x))
540 = -45x2 + x3 + (2025 + -45x + (-45 * x + x * x))
540 = -45x2 + x3 + (2025 + -45x + (-45x + x2))

Combine like terms: -45x + -45x = -90x
540 = -45x2 + x3 + (2025 + -90x + x2)

Reorder the terms:
540 = 2025 + -90x + -45x2 + x2 + x3

Combine like terms: -45x2 + x2 = -44x2
540 = 2025 + -90x + -44x2 + x3

Solving
540 = 2025 + -90x + -44x2 + x3

Solving for variable 'x'.

Combine like terms: 540 + -2025 = -1485
-1485 + 90x + 44x2 + -1x3 = 2025 + -90x + -44x2 + x3 + -2025 + 90x + 44x2 + -1x3

Reorder the terms:
-1485 + 90x + 44x2 + -1x3 = 2025 + -2025 + -90x + 90x + -44x2 + 44x2 + x3 + -1x3

Combine like terms: 2025 + -2025 = 0
-1485 + 90x + 44x2 + -1x3 = 0 + -90x + 90x + -44x2 + 44x2 + x3 + -1x3
-1485 + 90x + 44x2 + -1x3 = -90x + 90x + -44x2 + 44x2 + x3 + -1x3

Combine like terms: -90x + 90x = 0
-1485 + 90x + 44x2 + -1x3 = 0 + -44x2 + 44x2 + x3 + -1x3
-1485 + 90x + 44x2 + -1x3 = -44x2 + 44x2 + x3 + -1x3

Combine like terms: -44x2 + 44x2 = 0
-1485 + 90x + 44x2 + -1x3 = 0 + x3 + -1x3
-1485 + 90x + 44x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-1485 + 90x + 44x2 + -1x3 = 0

The solution to this equation could not be determined.

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