120=(5x^2)(2x-1)-(x)(x+4)

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Solution for 120=(5x^2)(2x-1)-(x)(x+4) equation:


Simplifying
120 = (5x2)(2x + -1) + -1(x)(x + 4)

Remove parenthesis around (5x2)
120 = 5x2(2x + -1) + -1(x)(x + 4)

Reorder the terms:
120 = 5x2(-1 + 2x) + -1(x)(x + 4)
120 = (-1 * 5x2 + 2x * 5x2) + -1(x)(x + 4)
120 = (-5x2 + 10x3) + -1(x)(x + 4)

Reorder the terms:
120 = -5x2 + 10x3 + -1x(4 + x)
120 = -5x2 + 10x3 + (4 * -1x + x * -1x)
120 = -5x2 + 10x3 + (-4x + -1x2)

Reorder the terms:
120 = -4x + -5x2 + -1x2 + 10x3

Combine like terms: -5x2 + -1x2 = -6x2
120 = -4x + -6x2 + 10x3

Solving
120 = -4x + -6x2 + 10x3

Solving for variable 'x'.

Reorder the terms:
120 + 4x + 6x2 + -10x3 = -4x + 4x + -6x2 + 6x2 + 10x3 + -10x3

Combine like terms: -4x + 4x = 0
120 + 4x + 6x2 + -10x3 = 0 + -6x2 + 6x2 + 10x3 + -10x3
120 + 4x + 6x2 + -10x3 = -6x2 + 6x2 + 10x3 + -10x3

Combine like terms: -6x2 + 6x2 = 0
120 + 4x + 6x2 + -10x3 = 0 + 10x3 + -10x3
120 + 4x + 6x2 + -10x3 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
120 + 4x + 6x2 + -10x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(60 + 2x + 3x2 + -5x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(60 + 2x + 3x2 + -5x3)' equal to zero and attempt to solve: Simplifying 60 + 2x + 3x2 + -5x3 = 0 Solving 60 + 2x + 3x2 + -5x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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