x(2x+5)(2x-5)-5x(2x-5)-14=0

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Solution for x(2x+5)(2x-5)-5x(2x-5)-14=0 equation:


Simplifying
x(2x + 5)(2x + -5) + -5x(2x + -5) + -14 = 0

Reorder the terms:
x(5 + 2x)(2x + -5) + -5x(2x + -5) + -14 = 0

Reorder the terms:
x(5 + 2x)(-5 + 2x) + -5x(2x + -5) + -14 = 0

Multiply (5 + 2x) * (-5 + 2x)
x(5(-5 + 2x) + 2x * (-5 + 2x)) + -5x(2x + -5) + -14 = 0
x((-5 * 5 + 2x * 5) + 2x * (-5 + 2x)) + -5x(2x + -5) + -14 = 0
x((-25 + 10x) + 2x * (-5 + 2x)) + -5x(2x + -5) + -14 = 0
x(-25 + 10x + (-5 * 2x + 2x * 2x)) + -5x(2x + -5) + -14 = 0
x(-25 + 10x + (-10x + 4x2)) + -5x(2x + -5) + -14 = 0

Combine like terms: 10x + -10x = 0
x(-25 + 0 + 4x2) + -5x(2x + -5) + -14 = 0
x(-25 + 4x2) + -5x(2x + -5) + -14 = 0
(-25 * x + 4x2 * x) + -5x(2x + -5) + -14 = 0
(-25x + 4x3) + -5x(2x + -5) + -14 = 0

Reorder the terms:
-25x + 4x3 + -5x(-5 + 2x) + -14 = 0
-25x + 4x3 + (-5 * -5x + 2x * -5x) + -14 = 0
-25x + 4x3 + (25x + -10x2) + -14 = 0

Reorder the terms:
-14 + -25x + 25x + -10x2 + 4x3 = 0

Combine like terms: -25x + 25x = 0
-14 + 0 + -10x2 + 4x3 = 0
-14 + -10x2 + 4x3 = 0

Solving
-14 + -10x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + -5x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-7 + -5x2 + 2x3)' equal to zero and attempt to solve: Simplifying -7 + -5x2 + 2x3 = 0 Solving -7 + -5x2 + 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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