X(5x)-5=20x^2-25

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Solution for X(5x)-5=20x^2-25 equation:


Simplifying
X(5x) + -5 = 20x2 + -25

Remove parenthesis around (5x)
X * 5x + -5 = 20x2 + -25

Reorder the terms for easier multiplication:
5X * x + -5 = 20x2 + -25

Multiply X * x
5xX + -5 = 20x2 + -25

Reorder the terms:
-5 + 5xX = 20x2 + -25

Reorder the terms:
-5 + 5xX = -25 + 20x2

Solving
-5 + 5xX = -25 + 20x2

Solving for variable 'x'.

Reorder the terms:
-5 + 25 + 5xX + -20x2 = -25 + 20x2 + 25 + -20x2

Combine like terms: -5 + 25 = 20
20 + 5xX + -20x2 = -25 + 20x2 + 25 + -20x2

Reorder the terms:
20 + 5xX + -20x2 = -25 + 25 + 20x2 + -20x2

Combine like terms: -25 + 25 = 0
20 + 5xX + -20x2 = 0 + 20x2 + -20x2
20 + 5xX + -20x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
20 + 5xX + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(4 + xX + -4x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(4 + xX + -4x2)' equal to zero and attempt to solve: Simplifying 4 + xX + -4x2 = 0 Solving 4 + xX + -4x2 = 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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