2x^3-9x^2-29x-15=(x-2)(x+5)(x+m)

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Solution for 2x^3-9x^2-29x-15=(x-2)(x+5)(x+m) equation: 


Simplifying
2x3 + -9x2 + -29x + -15 = (x + -2)(x + 5)(x + m)

Reorder the terms:
-15 + -29x + -9x2 + 2x3 = (x + -2)(x + 5)(x + m)

Reorder the terms:
-15 + -29x + -9x2 + 2x3 = (-2 + x)(x + 5)(x + m)

Reorder the terms:
-15 + -29x + -9x2 + 2x3 = (-2 + x)(5 + x)(x + m)

Reorder the terms:
-15 + -29x + -9x2 + 2x3 = (-2 + x)(5 + x)(m + x)

Multiply (-2 + x) * (5 + x)
-15 + -29x + -9x2 + 2x3 = (-2(5 + x) + x(5 + x))(m + x)
-15 + -29x + -9x2 + 2x3 = ((5 * -2 + x * -2) + x(5 + x))(m + x)
-15 + -29x + -9x2 + 2x3 = ((-10 + -2x) + x(5 + x))(m + x)
-15 + -29x + -9x2 + 2x3 = (-10 + -2x + (5 * x + x * x))(m + x)
-15 + -29x + -9x2 + 2x3 = (-10 + -2x + (5x + x2))(m + x)

Combine like terms: -2x + 5x = 3x
-15 + -29x + -9x2 + 2x3 = (-10 + 3x + x2)(m + x)

Multiply (-10 + 3x + x2) * (m + x)
-15 + -29x + -9x2 + 2x3 = (-10(m + x) + 3x * (m + x) + x2(m + x))
-15 + -29x + -9x2 + 2x3 = ((m * -10 + x * -10) + 3x * (m + x) + x2(m + x))
-15 + -29x + -9x2 + 2x3 = ((-10m + -10x) + 3x * (m + x) + x2(m + x))
-15 + -29x + -9x2 + 2x3 = (-10m + -10x + (m * 3x + x * 3x) + x2(m + x))
-15 + -29x + -9x2 + 2x3 = (-10m + -10x + (3mx + 3x2) + x2(m + x))
-15 + -29x + -9x2 + 2x3 = (-10m + -10x + 3mx + 3x2 + (m * x2 + x * x2))
-15 + -29x + -9x2 + 2x3 = (-10m + -10x + 3mx + 3x2 + (mx2 + x3))

Reorder the terms:
-15 + -29x + -9x2 + 2x3 = (-10m + 3mx + mx2 + -10x + 3x2 + x3)
-15 + -29x + -9x2 + 2x3 = (-10m + 3mx + mx2 + -10x + 3x2 + x3)

Solving
-15 + -29x + -9x2 + 2x3 = -10m + 3mx + mx2 + -10x + 3x2 + x3

Solving for variable 'x'.

Reorder the terms:
-15 + 10m + -3mx + -1mx2 + -29x + 10x + -9x2 + -3x2 + 2x3 + -1x3 = -10m + 3mx + mx2 + -10x + 3x2 + x3 + 10m + -3mx + -1mx2 + 10x + -3x2 + -1x3

Combine like terms: -29x + 10x = -19x
-15 + 10m + -3mx + -1mx2 + -19x + -9x2 + -3x2 + 2x3 + -1x3 = -10m + 3mx + mx2 + -10x + 3x2 + x3 + 10m + -3mx + -1mx2 + 10x + -3x2 + -1x3

Combine like terms: -9x2 + -3x2 = -12x2
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 2x3 + -1x3 = -10m + 3mx + mx2 + -10x + 3x2 + x3 + 10m + -3mx + -1mx2 + 10x + -3x2 + -1x3

Combine like terms: 2x3 + -1x3 = 1x3
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = -10m + 3mx + mx2 + -10x + 3x2 + x3 + 10m + -3mx + -1mx2 + 10x + -3x2 + -1x3

Reorder the terms:
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = -10m + 10m + 3mx + -3mx + mx2 + -1mx2 + -10x + 10x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: -10m + 10m = 0
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = 0 + 3mx + -3mx + mx2 + -1mx2 + -10x + 10x + 3x2 + -3x2 + x3 + -1x3
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = 3mx + -3mx + mx2 + -1mx2 + -10x + 10x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 3mx + -3mx = 0
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = 0 + mx2 + -1mx2 + -10x + 10x + 3x2 + -3x2 + x3 + -1x3
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = mx2 + -1mx2 + -10x + 10x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: mx2 + -1mx2 = 0
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = 0 + -10x + 10x + 3x2 + -3x2 + x3 + -1x3
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = -10x + 10x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: -10x + 10x = 0
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = 0 + 3x2 + -3x2 + x3 + -1x3
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = 3x2 + -3x2 + x3 + -1x3

Combine like terms: 3x2 + -3x2 = 0
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = 0 + x3 + -1x3
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-15 + 10m + -3mx + -1mx2 + -19x + -12x2 + 1x3 = 0

The solution to this equation could not be determined.

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