(9x+4)(5x+3)(4x-7)=180

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Solution for (9x+4)(5x+3)(4x-7)=180 equation: 


Simplifying
(9x + 4)(5x + 3)(4x + -7) = 180

Reorder the terms:
(4 + 9x)(5x + 3)(4x + -7) = 180

Reorder the terms:
(4 + 9x)(3 + 5x)(4x + -7) = 180

Reorder the terms:
(4 + 9x)(3 + 5x)(-7 + 4x) = 180

Multiply (4 + 9x) * (3 + 5x)
(4(3 + 5x) + 9x * (3 + 5x))(-7 + 4x) = 180
((3 * 4 + 5x * 4) + 9x * (3 + 5x))(-7 + 4x) = 180
((12 + 20x) + 9x * (3 + 5x))(-7 + 4x) = 180
(12 + 20x + (3 * 9x + 5x * 9x))(-7 + 4x) = 180
(12 + 20x + (27x + 45x2))(-7 + 4x) = 180

Combine like terms: 20x + 27x = 47x
(12 + 47x + 45x2)(-7 + 4x) = 180

Multiply (12 + 47x + 45x2) * (-7 + 4x)
(12(-7 + 4x) + 47x * (-7 + 4x) + 45x2 * (-7 + 4x)) = 180
((-7 * 12 + 4x * 12) + 47x * (-7 + 4x) + 45x2 * (-7 + 4x)) = 180
((-84 + 48x) + 47x * (-7 + 4x) + 45x2 * (-7 + 4x)) = 180
(-84 + 48x + (-7 * 47x + 4x * 47x) + 45x2 * (-7 + 4x)) = 180
(-84 + 48x + (-329x + 188x2) + 45x2 * (-7 + 4x)) = 180
(-84 + 48x + -329x + 188x2 + (-7 * 45x2 + 4x * 45x2)) = 180
(-84 + 48x + -329x + 188x2 + (-315x2 + 180x3)) = 180

Combine like terms: 48x + -329x = -281x
(-84 + -281x + 188x2 + -315x2 + 180x3) = 180

Combine like terms: 188x2 + -315x2 = -127x2
(-84 + -281x + -127x2 + 180x3) = 180

Solving
-84 + -281x + -127x2 + 180x3 = 180

Solving for variable 'x'.

Reorder the terms:
-84 + -180 + -281x + -127x2 + 180x3 = 180 + -180

Combine like terms: -84 + -180 = -264
-264 + -281x + -127x2 + 180x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-264 + -281x + -127x2 + 180x3 = 0

The solution to this equation could not be determined.

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