72=(10-2x)(10-2x)x

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Solution for 72=(10-2x)(10-2x)x equation:


Simplifying
72 = (10 + -2x)(10 + -2x) * x

Reorder the terms for easier multiplication:
72 = x(10 + -2x)(10 + -2x)

Multiply (10 + -2x) * (10 + -2x)
72 = x(10(10 + -2x) + -2x * (10 + -2x))
72 = x((10 * 10 + -2x * 10) + -2x * (10 + -2x))
72 = x((100 + -20x) + -2x * (10 + -2x))
72 = x(100 + -20x + (10 * -2x + -2x * -2x))
72 = x(100 + -20x + (-20x + 4x2))

Combine like terms: -20x + -20x = -40x
72 = x(100 + -40x + 4x2)
72 = (100 * x + -40x * x + 4x2 * x)
72 = (100x + -40x2 + 4x3)

Solving
72 = 100x + -40x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
72 + -100x + 40x2 + -4x3 = 100x + -100x + -40x2 + 40x2 + 4x3 + -4x3

Combine like terms: 100x + -100x = 0
72 + -100x + 40x2 + -4x3 = 0 + -40x2 + 40x2 + 4x3 + -4x3
72 + -100x + 40x2 + -4x3 = -40x2 + 40x2 + 4x3 + -4x3

Combine like terms: -40x2 + 40x2 = 0
72 + -100x + 40x2 + -4x3 = 0 + 4x3 + -4x3
72 + -100x + 40x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
72 + -100x + 40x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(18 + -25x + 10x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(18 + -25x + 10x2 + -1x3)' equal to zero and attempt to solve: Simplifying 18 + -25x + 10x2 + -1x3 = 0 Solving 18 + -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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