2.4x(x+60)+2x=1.3x(x+18)

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Solution for 2.4x(x+60)+2x=1.3x(x+18) equation:


Simplifying
2.4x(x + 60) + 2x = 1.3x(x + 18)

Reorder the terms:
2.4x(60 + x) + 2x = 1.3x(x + 18)
(60 * 2.4x + x * 2.4x) + 2x = 1.3x(x + 18)
(144x + 2.4x2) + 2x = 1.3x(x + 18)

Reorder the terms:
144x + 2x + 2.4x2 = 1.3x(x + 18)

Combine like terms: 144x + 2x = 146x
146x + 2.4x2 = 1.3x(x + 18)

Reorder the terms:
146x + 2.4x2 = 1.3x(18 + x)
146x + 2.4x2 = (18 * 1.3x + x * 1.3x)
146x + 2.4x2 = (23.4x + 1.3x2)

Solving
146x + 2.4x2 = 23.4x + 1.3x2

Solving for variable 'x'.

Reorder the terms:
146x + -23.4x + 2.4x2 + -1.3x2 = 23.4x + 1.3x2 + -23.4x + -1.3x2

Combine like terms: 146x + -23.4x = 122.6x
122.6x + 2.4x2 + -1.3x2 = 23.4x + 1.3x2 + -23.4x + -1.3x2

Combine like terms: 2.4x2 + -1.3x2 = 1.1x2
122.6x + 1.1x2 = 23.4x + 1.3x2 + -23.4x + -1.3x2

Reorder the terms:
122.6x + 1.1x2 = 23.4x + -23.4x + 1.3x2 + -1.3x2

Combine like terms: 23.4x + -23.4x = 0.0
122.6x + 1.1x2 = 0.0 + 1.3x2 + -1.3x2
122.6x + 1.1x2 = 1.3x2 + -1.3x2

Combine like terms: 1.3x2 + -1.3x2 = 0.0
122.6x + 1.1x2 = 0.0

The solution to this equation could not be determined.

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