Log(2x+17)*log(25x^2)=0

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Solution for Log(2x+17)*log(25x^2)=0 equation:


Simplifying
Log(2x + 17) * log(25x2) = 0

Reorder the terms:
goL(17 + 2x) * log(25x2) = 0

Remove parenthesis around (25x2)
goL(17 + 2x) * glo * 25x2 = 0

Reorder the terms for easier multiplication:
25goL * glo * x2(17 + 2x) = 0

Multiply goL * glo
25g2lo2L * x2(17 + 2x) = 0

Multiply g2lo2L * x2
25g2lo2x2L(17 + 2x) = 0
(17 * 25g2lo2x2L + 2x * 25g2lo2x2L) = 0
(425g2lo2x2L + 50g2lo2x3L) = 0

Solving
425g2lo2x2L + 50g2lo2x3L = 0

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '25g2lo2x2L'.
25g2lo2x2L(17 + 2x) = 0

Ignore the factor 25.

Subproblem 1

Set the factor 'g2lo2x2L' equal to zero and attempt to solve: Simplifying g2lo2x2L = 0 Solving g2lo2x2L = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g2lo2x2L = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(17 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Add '-2x' to each side of the equation. 2x + -2x = -17 + -2x Combine like terms: 2x + -2x = 0 0 = -17 + -2x Simplifying 0 = -17 + -2x 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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