(4x^2-25)(3x+7)=(4x^2-25)(x-6)

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Solution for (4x^2-25)(3x+7)=(4x^2-25)(x-6) equation:


Simplifying
(4x2 + -25)(3x + 7) = (4x2 + -25)(x + -6)

Reorder the terms:
(-25 + 4x2)(3x + 7) = (4x2 + -25)(x + -6)

Reorder the terms:
(-25 + 4x2)(7 + 3x) = (4x2 + -25)(x + -6)

Multiply (-25 + 4x2) * (7 + 3x)
(-25(7 + 3x) + 4x2 * (7 + 3x)) = (4x2 + -25)(x + -6)
((7 * -25 + 3x * -25) + 4x2 * (7 + 3x)) = (4x2 + -25)(x + -6)
((-175 + -75x) + 4x2 * (7 + 3x)) = (4x2 + -25)(x + -6)
(-175 + -75x + (7 * 4x2 + 3x * 4x2)) = (4x2 + -25)(x + -6)
(-175 + -75x + (28x2 + 12x3)) = (4x2 + -25)(x + -6)
(-175 + -75x + 28x2 + 12x3) = (4x2 + -25)(x + -6)

Reorder the terms:
-175 + -75x + 28x2 + 12x3 = (-25 + 4x2)(x + -6)

Reorder the terms:
-175 + -75x + 28x2 + 12x3 = (-25 + 4x2)(-6 + x)

Multiply (-25 + 4x2) * (-6 + x)
-175 + -75x + 28x2 + 12x3 = (-25(-6 + x) + 4x2 * (-6 + x))
-175 + -75x + 28x2 + 12x3 = ((-6 * -25 + x * -25) + 4x2 * (-6 + x))
-175 + -75x + 28x2 + 12x3 = ((150 + -25x) + 4x2 * (-6 + x))
-175 + -75x + 28x2 + 12x3 = (150 + -25x + (-6 * 4x2 + x * 4x2))
-175 + -75x + 28x2 + 12x3 = (150 + -25x + (-24x2 + 4x3))
-175 + -75x + 28x2 + 12x3 = (150 + -25x + -24x2 + 4x3)

Solving
-175 + -75x + 28x2 + 12x3 = 150 + -25x + -24x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-175 + -150 + -75x + 25x + 28x2 + 24x2 + 12x3 + -4x3 = 150 + -25x + -24x2 + 4x3 + -150 + 25x + 24x2 + -4x3

Combine like terms: -175 + -150 = -325
-325 + -75x + 25x + 28x2 + 24x2 + 12x3 + -4x3 = 150 + -25x + -24x2 + 4x3 + -150 + 25x + 24x2 + -4x3

Combine like terms: -75x + 25x = -50x
-325 + -50x + 28x2 + 24x2 + 12x3 + -4x3 = 150 + -25x + -24x2 + 4x3 + -150 + 25x + 24x2 + -4x3

Combine like terms: 28x2 + 24x2 = 52x2
-325 + -50x + 52x2 + 12x3 + -4x3 = 150 + -25x + -24x2 + 4x3 + -150 + 25x + 24x2 + -4x3

Combine like terms: 12x3 + -4x3 = 8x3
-325 + -50x + 52x2 + 8x3 = 150 + -25x + -24x2 + 4x3 + -150 + 25x + 24x2 + -4x3

Reorder the terms:
-325 + -50x + 52x2 + 8x3 = 150 + -150 + -25x + 25x + -24x2 + 24x2 + 4x3 + -4x3

Combine like terms: 150 + -150 = 0
-325 + -50x + 52x2 + 8x3 = 0 + -25x + 25x + -24x2 + 24x2 + 4x3 + -4x3
-325 + -50x + 52x2 + 8x3 = -25x + 25x + -24x2 + 24x2 + 4x3 + -4x3

Combine like terms: -25x + 25x = 0
-325 + -50x + 52x2 + 8x3 = 0 + -24x2 + 24x2 + 4x3 + -4x3
-325 + -50x + 52x2 + 8x3 = -24x2 + 24x2 + 4x3 + -4x3

Combine like terms: -24x2 + 24x2 = 0
-325 + -50x + 52x2 + 8x3 = 0 + 4x3 + -4x3
-325 + -50x + 52x2 + 8x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-325 + -50x + 52x2 + 8x3 = 0

The solution to this equation could not be determined.

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