0=(2x-5)(x+1)(x-3)

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Solution for 0=(2x-5)(x+1)(x-3) equation: 


Simplifying
0 = (2x + -5)(x + 1)(x + -3)

Reorder the terms:
0 = (-5 + 2x)(x + 1)(x + -3)

Reorder the terms:
0 = (-5 + 2x)(1 + x)(x + -3)

Reorder the terms:
0 = (-5 + 2x)(1 + x)(-3 + x)

Multiply (-5 + 2x) * (1 + x)
0 = (-5(1 + x) + 2x * (1 + x))(-3 + x)
0 = ((1 * -5 + x * -5) + 2x * (1 + x))(-3 + x)
0 = ((-5 + -5x) + 2x * (1 + x))(-3 + x)
0 = (-5 + -5x + (1 * 2x + x * 2x))(-3 + x)
0 = (-5 + -5x + (2x + 2x2))(-3 + x)

Combine like terms: -5x + 2x = -3x
0 = (-5 + -3x + 2x2)(-3 + x)

Multiply (-5 + -3x + 2x2) * (-3 + x)
0 = (-5(-3 + x) + -3x * (-3 + x) + 2x2 * (-3 + x))
0 = ((-3 * -5 + x * -5) + -3x * (-3 + x) + 2x2 * (-3 + x))
0 = ((15 + -5x) + -3x * (-3 + x) + 2x2 * (-3 + x))
0 = (15 + -5x + (-3 * -3x + x * -3x) + 2x2 * (-3 + x))
0 = (15 + -5x + (9x + -3x2) + 2x2 * (-3 + x))
0 = (15 + -5x + 9x + -3x2 + (-3 * 2x2 + x * 2x2))
0 = (15 + -5x + 9x + -3x2 + (-6x2 + 2x3))

Combine like terms: -5x + 9x = 4x
0 = (15 + 4x + -3x2 + -6x2 + 2x3)

Combine like terms: -3x2 + -6x2 = -9x2
0 = (15 + 4x + -9x2 + 2x3)

Solving
0 = 15 + 4x + -9x2 + 2x3

Solving for variable 'x'.

Combine like terms: 0 + -15 = -15
-15 + -4x + 9x2 + -2x3 = 15 + 4x + -9x2 + 2x3 + -15 + -4x + 9x2 + -2x3

Reorder the terms:
-15 + -4x + 9x2 + -2x3 = 15 + -15 + 4x + -4x + -9x2 + 9x2 + 2x3 + -2x3

Combine like terms: 15 + -15 = 0
-15 + -4x + 9x2 + -2x3 = 0 + 4x + -4x + -9x2 + 9x2 + 2x3 + -2x3
-15 + -4x + 9x2 + -2x3 = 4x + -4x + -9x2 + 9x2 + 2x3 + -2x3

Combine like terms: 4x + -4x = 0
-15 + -4x + 9x2 + -2x3 = 0 + -9x2 + 9x2 + 2x3 + -2x3
-15 + -4x + 9x2 + -2x3 = -9x2 + 9x2 + 2x3 + -2x3

Combine like terms: -9x2 + 9x2 = 0
-15 + -4x + 9x2 + -2x3 = 0 + 2x3 + -2x3
-15 + -4x + 9x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-15 + -4x + 9x2 + -2x3 = 0

The solution to this equation could not be determined.

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