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 = -16x
9(-105 + -16x + 4x2 + 7x2 + 2x3) = 0

Combine like terms: 4x2 + 7x2 = 11x2
9(-105 + -16x + 11x2 + 2x3) = 0
(-105 * 9 + -16x * 9 + 11x2 * 9 + 2x3 * 9) = 0
(-945 + -144x + 99x2 + 18x3) = 0

Solving
-945 + -144x + 99x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-105 + -16x + 11x2 + 2x3) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(-105 + -16x + 11x2 + 2x3)' equal to zero and attempt to solve: Simplifying -105 + -16x + 11x2 + 2x3 = 0 Solving -105 + -16x + 11x2 + 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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