(x-4)(7-x)(3x-9)=0

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Solution for (x-4)(7-x)(3x-9)=0 equation:


Simplifying
(x + -4)(7 + -1x)(3x + -9) = 0

Reorder the terms:
(-4 + x)(7 + -1x)(3x + -9) = 0

Reorder the terms:
(-4 + x)(7 + -1x)(-9 + 3x) = 0

Multiply (-4 + x) * (7 + -1x)
(-4(7 + -1x) + x(7 + -1x))(-9 + 3x) = 0
((7 * -4 + -1x * -4) + x(7 + -1x))(-9 + 3x) = 0
((-28 + 4x) + x(7 + -1x))(-9 + 3x) = 0
(-28 + 4x + (7 * x + -1x * x))(-9 + 3x) = 0
(-28 + 4x + (7x + -1x2))(-9 + 3x) = 0

Combine like terms: 4x + 7x = 11x
(-28 + 11x + -1x2)(-9 + 3x) = 0

Multiply (-28 + 11x + -1x2) * (-9 + 3x)
(-28(-9 + 3x) + 11x * (-9 + 3x) + -1x2 * (-9 + 3x)) = 0
((-9 * -28 + 3x * -28) + 11x * (-9 + 3x) + -1x2 * (-9 + 3x)) = 0
((252 + -84x) + 11x * (-9 + 3x) + -1x2 * (-9 + 3x)) = 0
(252 + -84x + (-9 * 11x + 3x * 11x) + -1x2 * (-9 + 3x)) = 0
(252 + -84x + (-99x + 33x2) + -1x2 * (-9 + 3x)) = 0
(252 + -84x + -99x + 33x2 + (-9 * -1x2 + 3x * -1x2)) = 0
(252 + -84x + -99x + 33x2 + (9x2 + -3x3)) = 0

Combine like terms: -84x + -99x = -183x
(252 + -183x + 33x2 + 9x2 + -3x3) = 0

Combine like terms: 33x2 + 9x2 = 42x2
(252 + -183x + 42x2 + -3x3) = 0

Solving
252 + -183x + 42x2 + -3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(84 + -61x + 14x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(84 + -61x + 14x2 + -1x3)' equal to zero and attempt to solve: Simplifying 84 + -61x + 14x2 + -1x3 = 0 Solving 84 + -61x + 14x2 + -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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