9(x+5)=2x(x-7)5(x+9)

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Solution for 9(x+5)=2x(x-7)5(x+9) equation: 


Simplifying
9(x + 5) = 2x(x + -7) * 5(x + 9)

Reorder the terms:
9(5 + x) = 2x(x + -7) * 5(x + 9)
(5 * 9 + x * 9) = 2x(x + -7) * 5(x + 9)
(45 + 9x) = 2x(x + -7) * 5(x + 9)

Reorder the terms:
45 + 9x = 2x(-7 + x) * 5(x + 9)

Reorder the terms:
45 + 9x = 2x(-7 + x) * 5(9 + x)

Reorder the terms for easier multiplication:
45 + 9x = 2 * 5x(-7 + x)(9 + x)

Multiply 2 * 5
45 + 9x = 10x(-7 + x)(9 + x)

Multiply (-7 + x) * (9 + x)
45 + 9x = 10x(-7(9 + x) + x(9 + x))
45 + 9x = 10x((9 * -7 + x * -7) + x(9 + x))
45 + 9x = 10x((-63 + -7x) + x(9 + x))
45 + 9x = 10x(-63 + -7x + (9 * x + x * x))
45 + 9x = 10x(-63 + -7x + (9x + x2))

Combine like terms: -7x + 9x = 2x
45 + 9x = 10x(-63 + 2x + x2)
45 + 9x = (-63 * 10x + 2x * 10x + x2 * 10x)
45 + 9x = (-630x + 20x2 + 10x3)

Solving
45 + 9x = -630x + 20x2 + 10x3

Solving for variable 'x'.

Combine like terms: 9x + 630x = 639x
45 + 639x + -20x2 + -10x3 = -630x + 20x2 + 10x3 + 630x + -20x2 + -10x3

Reorder the terms:
45 + 639x + -20x2 + -10x3 = -630x + 630x + 20x2 + -20x2 + 10x3 + -10x3

Combine like terms: -630x + 630x = 0
45 + 639x + -20x2 + -10x3 = 0 + 20x2 + -20x2 + 10x3 + -10x3
45 + 639x + -20x2 + -10x3 = 20x2 + -20x2 + 10x3 + -10x3

Combine like terms: 20x2 + -20x2 = 0
45 + 639x + -20x2 + -10x3 = 0 + 10x3 + -10x3
45 + 639x + -20x2 + -10x3 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
45 + 639x + -20x2 + -10x3 = 0

The solution to this equation could not be determined.

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