(x^2-7x)(7x-3)=4x+14

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Solution for (x^2-7x)(7x-3)=4x+14 equation:


Simplifying
(x2 + -7x)(7x + -3) = 4x + 14

Reorder the terms:
(-7x + x2)(7x + -3) = 4x + 14

Reorder the terms:
(-7x + x2)(-3 + 7x) = 4x + 14

Multiply (-7x + x2) * (-3 + 7x)
(-7x * (-3 + 7x) + x2(-3 + 7x)) = 4x + 14
((-3 * -7x + 7x * -7x) + x2(-3 + 7x)) = 4x + 14
((21x + -49x2) + x2(-3 + 7x)) = 4x + 14
(21x + -49x2 + (-3 * x2 + 7x * x2)) = 4x + 14
(21x + -49x2 + (-3x2 + 7x3)) = 4x + 14

Combine like terms: -49x2 + -3x2 = -52x2
(21x + -52x2 + 7x3) = 4x + 14

Reorder the terms:
21x + -52x2 + 7x3 = 14 + 4x

Solving
21x + -52x2 + 7x3 = 14 + 4x

Solving for variable 'x'.

Reorder the terms:
-14 + 21x + -4x + -52x2 + 7x3 = 14 + 4x + -14 + -4x

Combine like terms: 21x + -4x = 17x
-14 + 17x + -52x2 + 7x3 = 14 + 4x + -14 + -4x

Reorder the terms:
-14 + 17x + -52x2 + 7x3 = 14 + -14 + 4x + -4x

Combine like terms: 14 + -14 = 0
-14 + 17x + -52x2 + 7x3 = 0 + 4x + -4x
-14 + 17x + -52x2 + 7x3 = 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + 17x + -52x2 + 7x3 = 0

The solution to this equation could not be determined.

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