In(3x^2+7x-5)=0

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


Simplifying
In(3x2 + 7x + -5) = 0

Reorder the terms:
nI(-5 + 7x + 3x2) = 0
(-5 * nI + 7x * nI + 3x2 * nI) = 0
(-5nI + 7nxI + 3nx2I) = 0

Solving
-5nI + 7nxI + 3nx2I = 0

Solving for variable 'n'.

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

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-5 + 7x + 3x2) = 0

Subproblem 1

Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 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 '(-5 + 7x + 3x2)' equal to zero and attempt to solve: Simplifying -5 + 7x + 3x2 = 0 Solving -5 + 7x + 3x2 = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 7x + 5 + 3x2 = 0 + 5 Reorder the terms: -5 + 5 + 7x + 3x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x + 3x2 = 0 + 5 7x + 3x2 = 0 + 5 Combine like terms: 0 + 5 = 5 7x + 3x2 = 5 Add '-7x' to each side of the equation. 7x + -7x + 3x2 = 5 + -7x Combine like terms: 7x + -7x = 0 0 + 3x2 = 5 + -7x 3x2 = 5 + -7x Add '-3x2' to each side of the equation. 3x2 + -3x2 = 5 + -7x + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = 5 + -7x + -3x2 Simplifying 0 = 5 + -7x + -3x2 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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