X^2(x^2-49)-16(x^2-49)=0

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Solution for X^2(x^2-49)-16(x^2-49)=0 equation:


Simplifying
X2(x2 + -49) + -16(x2 + -49) = 0

Reorder the terms:
X2(-49 + x2) + -16(x2 + -49) = 0
(-49 * X2 + x2 * X2) + -16(x2 + -49) = 0
(-49X2 + x2X2) + -16(x2 + -49) = 0

Reorder the terms:
-49X2 + x2X2 + -16(-49 + x2) = 0
-49X2 + x2X2 + (-49 * -16 + x2 * -16) = 0
-49X2 + x2X2 + (784 + -16x2) = 0

Reorder the terms:
784 + -49X2 + -16x2 + x2X2 = 0

Solving
784 + -49X2 + -16x2 + x2X2 = 0

Solving for variable 'X'.

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

Add '-784' to each side of the equation.
784 + -49X2 + -16x2 + -784 + x2X2 = 0 + -784

Reorder the terms:
784 + -784 + -49X2 + -16x2 + x2X2 = 0 + -784

Combine like terms: 784 + -784 = 0
0 + -49X2 + -16x2 + x2X2 = 0 + -784
-49X2 + -16x2 + x2X2 = 0 + -784

Combine like terms: 0 + -784 = -784
-49X2 + -16x2 + x2X2 = -784

Add '16x2' to each side of the equation.
-49X2 + -16x2 + 16x2 + x2X2 = -784 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-49X2 + 0 + x2X2 = -784 + 16x2
-49X2 + x2X2 = -784 + 16x2

Reorder the terms:
784 + -49X2 + -16x2 + x2X2 = -784 + 16x2 + 784 + -16x2

Reorder the terms:
784 + -49X2 + -16x2 + x2X2 = -784 + 784 + 16x2 + -16x2

Combine like terms: -784 + 784 = 0
784 + -49X2 + -16x2 + x2X2 = 0 + 16x2 + -16x2
784 + -49X2 + -16x2 + x2X2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
784 + -49X2 + -16x2 + x2X2 = 0

The solution to this equation could not be determined.

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