52x^2=32X(57+78x^2)

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Solution for 52x^2=32X(57+78x^2) equation:


Simplifying
52x2 = 32X(57 + 78x2)
52x2 = (57 * 32X + 78x2 * 32X)
52x2 = (1824X + 2496x2X)

Solving
52x2 = 1824X + 2496x2X

Solving for variable 'x'.

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

Add '-2496x2X' to each side of the equation.
52x2 + -2496x2X = 1824X + 2496x2X + -2496x2X

Combine like terms: 2496x2X + -2496x2X = 0
52x2 + -2496x2X = 1824X + 0
52x2 + -2496x2X = 1824X

Reorder the terms:
-1824X + 52x2 + -2496x2X = 1824X + -1824X

Combine like terms: 1824X + -1824X = 0
-1824X + 52x2 + -2496x2X = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-456X + 13x2 + -624x2X) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-456X + 13x2 + -624x2X)' equal to zero and attempt to solve: Simplifying -456X + 13x2 + -624x2X = 0 Solving -456X + 13x2 + -624x2X = 0 Move all terms containing x to the left, all other terms to the right. Add '456X' to each side of the equation. -456X + 13x2 + 456X + -624x2X = 0 + 456X Reorder the terms: -456X + 456X + 13x2 + -624x2X = 0 + 456X Combine like terms: -456X + 456X = 0 0 + 13x2 + -624x2X = 0 + 456X 13x2 + -624x2X = 0 + 456X Remove the zero: 13x2 + -624x2X = 456X 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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