(14x-13)(5x+13)=70X^2+182

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Solution for (14x-13)(5x+13)=70X^2+182 equation:


Simplifying
(14x + -13)(5x + 13) = 70X2 + 182

Reorder the terms:
(-13 + 14x)(5x + 13) = 70X2 + 182

Reorder the terms:
(-13 + 14x)(13 + 5x) = 70X2 + 182

Multiply (-13 + 14x) * (13 + 5x)
(-13(13 + 5x) + 14x * (13 + 5x)) = 70X2 + 182
((13 * -13 + 5x * -13) + 14x * (13 + 5x)) = 70X2 + 182
((-169 + -65x) + 14x * (13 + 5x)) = 70X2 + 182
(-169 + -65x + (13 * 14x + 5x * 14x)) = 70X2 + 182
(-169 + -65x + (182x + 70x2)) = 70X2 + 182

Combine like terms: -65x + 182x = 117x
(-169 + 117x + 70x2) = 70X2 + 182

Reorder the terms:
-169 + 117x + 70x2 = 182 + 70X2

Solving
-169 + 117x + 70x2 = 182 + 70X2

Solving for variable 'x'.

Reorder the terms:
-169 + -182 + -70X2 + 117x + 70x2 = 182 + 70X2 + -182 + -70X2

Combine like terms: -169 + -182 = -351
-351 + -70X2 + 117x + 70x2 = 182 + 70X2 + -182 + -70X2

Reorder the terms:
-351 + -70X2 + 117x + 70x2 = 182 + -182 + 70X2 + -70X2

Combine like terms: 182 + -182 = 0
-351 + -70X2 + 117x + 70x2 = 0 + 70X2 + -70X2
-351 + -70X2 + 117x + 70x2 = 70X2 + -70X2

Combine like terms: 70X2 + -70X2 = 0
-351 + -70X2 + 117x + 70x2 = 0

The solution to this equation could not be determined.

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