log(4)*x^2-log(4)*5=log(4)*225

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Solution for log(4)*x^2-log(4)*5=log(4)*225 equation:


Simplifying
log(4) * x2 + -1log(4) * 5 = log(4) * 225

Reorder the terms for easier multiplication:
4glo * x2 + -1log(4) * 5 = log(4) * 225

Multiply glo * x2
4glox2 + -1log(4) * 5 = log(4) * 225

Reorder the terms for easier multiplication:
4glox2 + -1 * 4 * 5glo = log(4) * 225

Multiply -1 * 4
4glox2 + -4 * 5glo = log(4) * 225

Multiply -4 * 5
4glox2 + -20glo = log(4) * 225

Reorder the terms:
-20glo + 4glox2 = log(4) * 225

Reorder the terms for easier multiplication:
-20glo + 4glox2 = 4 * 225glo

Multiply 4 * 225
-20glo + 4glox2 = 900glo

Solving
-20glo + 4glox2 = 900glo

Solving for variable 'g'.

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

Add '-900glo' to each side of the equation.
-20glo + -900glo + 4glox2 = 900glo + -900glo

Combine like terms: -20glo + -900glo = -920glo
-920glo + 4glox2 = 900glo + -900glo

Combine like terms: 900glo + -900glo = 0
-920glo + 4glox2 = 0

Factor out the Greatest Common Factor (GCF), '4glo'.
4glo(-230 + x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-230 + x2)' equal to zero and attempt to solve: Simplifying -230 + x2 = 0 Solving -230 + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '230' to each side of the equation. -230 + 230 + x2 = 0 + 230 Combine like terms: -230 + 230 = 0 0 + x2 = 0 + 230 x2 = 0 + 230 Combine like terms: 0 + 230 = 230 x2 = 230 Add '-1x2' to each side of the equation. x2 + -1x2 = 230 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 230 + -1x2 Simplifying 0 = 230 + -1x2 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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