4x^2=(3-m)(4x-3)

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Solution for 4x^2=(3-m)(4x-3) equation:


Simplifying
4x2 = (3 + -1m)(4x + -3)

Reorder the terms:
4x2 = (3 + -1m)(-3 + 4x)

Multiply (3 + -1m) * (-3 + 4x)
4x2 = (3(-3 + 4x) + -1m * (-3 + 4x))
4x2 = ((-3 * 3 + 4x * 3) + -1m * (-3 + 4x))
4x2 = ((-9 + 12x) + -1m * (-3 + 4x))
4x2 = (-9 + 12x + (-3 * -1m + 4x * -1m))
4x2 = (-9 + 12x + (3m + -4mx))

Reorder the terms:
4x2 = (-9 + 3m + -4mx + 12x)
4x2 = (-9 + 3m + -4mx + 12x)

Solving
4x2 = -9 + 3m + -4mx + 12x

Solving for variable 'x'.

Reorder the terms:
9 + -3m + 4mx + -12x + 4x2 = -9 + 3m + -4mx + 12x + 9 + -3m + 4mx + -12x

Reorder the terms:
9 + -3m + 4mx + -12x + 4x2 = -9 + 9 + 3m + -3m + -4mx + 4mx + 12x + -12x

Combine like terms: -9 + 9 = 0
9 + -3m + 4mx + -12x + 4x2 = 0 + 3m + -3m + -4mx + 4mx + 12x + -12x
9 + -3m + 4mx + -12x + 4x2 = 3m + -3m + -4mx + 4mx + 12x + -12x

Combine like terms: 3m + -3m = 0
9 + -3m + 4mx + -12x + 4x2 = 0 + -4mx + 4mx + 12x + -12x
9 + -3m + 4mx + -12x + 4x2 = -4mx + 4mx + 12x + -12x

Combine like terms: -4mx + 4mx = 0
9 + -3m + 4mx + -12x + 4x2 = 0 + 12x + -12x
9 + -3m + 4mx + -12x + 4x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -3m + 4mx + -12x + 4x2 = 0

The solution to this equation could not be determined.

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