750=3x(x-5)(x-5)

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Solution for 750=3x(x-5)(x-5) equation:


Simplifying
750 = 3x(x + -5)(x + -5)

Reorder the terms:
750 = 3x(-5 + x)(x + -5)

Reorder the terms:
750 = 3x(-5 + x)(-5 + x)

Multiply (-5 + x) * (-5 + x)
750 = 3x(-5(-5 + x) + x(-5 + x))
750 = 3x((-5 * -5 + x * -5) + x(-5 + x))
750 = 3x((25 + -5x) + x(-5 + x))
750 = 3x(25 + -5x + (-5 * x + x * x))
750 = 3x(25 + -5x + (-5x + x2))

Combine like terms: -5x + -5x = -10x
750 = 3x(25 + -10x + x2)
750 = (25 * 3x + -10x * 3x + x2 * 3x)
750 = (75x + -30x2 + 3x3)

Solving
750 = 75x + -30x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
750 + -75x + 30x2 + -3x3 = 75x + -75x + -30x2 + 30x2 + 3x3 + -3x3

Combine like terms: 75x + -75x = 0
750 + -75x + 30x2 + -3x3 = 0 + -30x2 + 30x2 + 3x3 + -3x3
750 + -75x + 30x2 + -3x3 = -30x2 + 30x2 + 3x3 + -3x3

Combine like terms: -30x2 + 30x2 = 0
750 + -75x + 30x2 + -3x3 = 0 + 3x3 + -3x3
750 + -75x + 30x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
750 + -75x + 30x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(250 + -25x + 10x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(250 + -25x + 10x2 + -1x3)' equal to zero and attempt to solve: Simplifying 250 + -25x + 10x2 + -1x3 = 0 Solving 250 + -25x + 10x2 + -1x3 = 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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