=(x-3)(x+4)(2x-5)

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Solution for =(x-3)(x+4)(2x-5) equation: 


Simplifying
0 = (x + -3)(x + 4)(2x + -5)

Reorder the terms:
0 = (-3 + x)(x + 4)(2x + -5)

Reorder the terms:
0 = (-3 + x)(4 + x)(2x + -5)

Reorder the terms:
0 = (-3 + x)(4 + x)(-5 + 2x)

Multiply (-3 + x) * (4 + x)
0 = (-3(4 + x) + x(4 + x))(-5 + 2x)
0 = ((4 * -3 + x * -3) + x(4 + x))(-5 + 2x)
0 = ((-12 + -3x) + x(4 + x))(-5 + 2x)
0 = (-12 + -3x + (4 * x + x * x))(-5 + 2x)
0 = (-12 + -3x + (4x + x2))(-5 + 2x)

Combine like terms: -3x + 4x = 1x
0 = (-12 + 1x + x2)(-5 + 2x)

Multiply (-12 + 1x + x2) * (-5 + 2x)
0 = (-12(-5 + 2x) + 1x * (-5 + 2x) + x2(-5 + 2x))
0 = ((-5 * -12 + 2x * -12) + 1x * (-5 + 2x) + x2(-5 + 2x))
0 = ((60 + -24x) + 1x * (-5 + 2x) + x2(-5 + 2x))
0 = (60 + -24x + (-5 * 1x + 2x * 1x) + x2(-5 + 2x))
0 = (60 + -24x + (-5x + 2x2) + x2(-5 + 2x))
0 = (60 + -24x + -5x + 2x2 + (-5 * x2 + 2x * x2))
0 = (60 + -24x + -5x + 2x2 + (-5x2 + 2x3))

Combine like terms: -24x + -5x = -29x
0 = (60 + -29x + 2x2 + -5x2 + 2x3)

Combine like terms: 2x2 + -5x2 = -3x2
0 = (60 + -29x + -3x2 + 2x3)

Solving
0 = 60 + -29x + -3x2 + 2x3

Solving for variable 'x'.

Combine like terms: 0 + -60 = -60
-60 + 29x + 3x2 + -2x3 = 60 + -29x + -3x2 + 2x3 + -60 + 29x + 3x2 + -2x3

Reorder the terms:
-60 + 29x + 3x2 + -2x3 = 60 + -60 + -29x + 29x + -3x2 + 3x2 + 2x3 + -2x3

Combine like terms: 60 + -60 = 0
-60 + 29x + 3x2 + -2x3 = 0 + -29x + 29x + -3x2 + 3x2 + 2x3 + -2x3
-60 + 29x + 3x2 + -2x3 = -29x + 29x + -3x2 + 3x2 + 2x3 + -2x3

Combine like terms: -29x + 29x = 0
-60 + 29x + 3x2 + -2x3 = 0 + -3x2 + 3x2 + 2x3 + -2x3
-60 + 29x + 3x2 + -2x3 = -3x2 + 3x2 + 2x3 + -2x3

Combine like terms: -3x2 + 3x2 = 0
-60 + 29x + 3x2 + -2x3 = 0 + 2x3 + -2x3
-60 + 29x + 3x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-60 + 29x + 3x2 + -2x3 = 0

The solution to this equation could not be determined.

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