9(x-3)(x+5)(2x-7)=0

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Solution for 9(x-3)(x+5)(2x-7)=0 equation: 


Simplifying
9(x + -3)(x + 5)(2x + -7) = 0

Reorder the terms:
9(-3 + x)(x + 5)(2x + -7) = 0

Reorder the terms:
9(-3 + x)(5 + x)(2x + -7) = 0

Reorder the terms:
9(-3 + x)(5 + x)(-7 + 2x) = 0

Multiply (-3 + x) * (5 + x)
9(-3(5 + x) + x(5 + x))(-7 + 2x) = 0
9((5 * -3 + x * -3) + x(5 + x))(-7 + 2x) = 0
9((-15 + -3x) + x(5 + x))(-7 + 2x) = 0
9(-15 + -3x + (5 * x + x * x))(-7 + 2x) = 0
9(-15 + -3x + (5x + x2))(-7 + 2x) = 0

Combine like terms: -3x + 5x = 2x
9(-15 + 2x + x2)(-7 + 2x) = 0

Multiply (-15 + 2x + x2) * (-7 + 2x)
9(-15(-7 + 2x) + 2x * (-7 + 2x) + x2(-7 + 2x)) = 0
9((-7 * -15 + 2x * -15) + 2x * (-7 + 2x) + x2(-7 + 2x)) = 0
9((105 + -30x) + 2x * (-7 + 2x) + x2(-7 + 2x)) = 0
9(105 + -30x + (-7 * 2x + 2x * 2x) + x2(-7 + 2x)) = 0
9(105 + -30x + (-14x + 4x2) + x2(-7 + 2x)) = 0
9(105 + -30x + -14x + 4x2 + (-7 * x2 + 2x * x2)) = 0
9(105 + -30x + -14x + 4x2 + (-7x2 + 2x3)) = 0

Combine like terms: -30x + -14x = -44x
9(105 + -44x + 4x2 + -7x2 + 2x3) = 0

Combine like terms: 4x2 + -7x2 = -3x2
9(105 + -44x + -3x2 + 2x3) = 0
(105 * 9 + -44x * 9 + -3x2 * 9 + 2x3 * 9) = 0
(945 + -396x + -27x2 + 18x3) = 0

Solving
945 + -396x + -27x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(105 + -44x + -3x2 + 2x3) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(105 + -44x + -3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
105 + -44x + -3x2 + 2x3 = 0

Solving
105 + -44x + -3x2 + 2x3 = 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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