x^2(2x+5)=(x+6)(2x+5)

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Solution for x^2(2x+5)=(x+6)(2x+5) equation:


Simplifying
x2(2x + 5) = (x + 6)(2x + 5)

Reorder the terms:
x2(5 + 2x) = (x + 6)(2x + 5)
(5 * x2 + 2x * x2) = (x + 6)(2x + 5)
(5x2 + 2x3) = (x + 6)(2x + 5)

Reorder the terms:
5x2 + 2x3 = (6 + x)(2x + 5)

Reorder the terms:
5x2 + 2x3 = (6 + x)(5 + 2x)

Multiply (6 + x) * (5 + 2x)
5x2 + 2x3 = (6(5 + 2x) + x(5 + 2x))
5x2 + 2x3 = ((5 * 6 + 2x * 6) + x(5 + 2x))
5x2 + 2x3 = ((30 + 12x) + x(5 + 2x))
5x2 + 2x3 = (30 + 12x + (5 * x + 2x * x))
5x2 + 2x3 = (30 + 12x + (5x + 2x2))

Combine like terms: 12x + 5x = 17x
5x2 + 2x3 = (30 + 17x + 2x2)

Solving
5x2 + 2x3 = 30 + 17x + 2x2

Solving for variable 'x'.

Reorder the terms:
-30 + -17x + 5x2 + -2x2 + 2x3 = 30 + 17x + 2x2 + -30 + -17x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-30 + -17x + 3x2 + 2x3 = 30 + 17x + 2x2 + -30 + -17x + -2x2

Reorder the terms:
-30 + -17x + 3x2 + 2x3 = 30 + -30 + 17x + -17x + 2x2 + -2x2

Combine like terms: 30 + -30 = 0
-30 + -17x + 3x2 + 2x3 = 0 + 17x + -17x + 2x2 + -2x2
-30 + -17x + 3x2 + 2x3 = 17x + -17x + 2x2 + -2x2

Combine like terms: 17x + -17x = 0
-30 + -17x + 3x2 + 2x3 = 0 + 2x2 + -2x2
-30 + -17x + 3x2 + 2x3 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-30 + -17x + 3x2 + 2x3 = 0

The solution to this equation could not be determined.

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