(X^2+4)(5x^2-7)=0

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Solution for (X^2+4)(5x^2-7)=0 equation: 


Simplifying
(X2 + 4)(5x2 + -7) = 0

Reorder the terms:
(4 + X2)(5x2 + -7) = 0

Reorder the terms:
(4 + X2)(-7 + 5x2) = 0

Multiply (4 + X2) * (-7 + 5x2)
(4(-7 + 5x2) + X2(-7 + 5x2)) = 0
((-7 * 4 + 5x2 * 4) + X2(-7 + 5x2)) = 0
((-28 + 20x2) + X2(-7 + 5x2)) = 0
(-28 + 20x2 + (-7 * X2 + 5x2 * X2)) = 0
(-28 + 20x2 + (-7X2 + 5x2X2)) = 0

Reorder the terms:
(-28 + -7X2 + 20x2 + 5x2X2) = 0
(-28 + -7X2 + 20x2 + 5x2X2) = 0

Solving
-28 + -7X2 + 20x2 + 5x2X2 = 0

Solving for variable 'X'.

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

Add '28' to each side of the equation.
-28 + -7X2 + 20x2 + 28 + 5x2X2 = 0 + 28

Reorder the terms:
-28 + 28 + -7X2 + 20x2 + 5x2X2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -7X2 + 20x2 + 5x2X2 = 0 + 28
-7X2 + 20x2 + 5x2X2 = 0 + 28

Combine like terms: 0 + 28 = 28
-7X2 + 20x2 + 5x2X2 = 28

Add '-20x2' to each side of the equation.
-7X2 + 20x2 + -20x2 + 5x2X2 = 28 + -20x2

Combine like terms: 20x2 + -20x2 = 0
-7X2 + 0 + 5x2X2 = 28 + -20x2
-7X2 + 5x2X2 = 28 + -20x2

Reorder the terms:
-28 + -7X2 + 20x2 + 5x2X2 = 28 + -20x2 + -28 + 20x2

Reorder the terms:
-28 + -7X2 + 20x2 + 5x2X2 = 28 + -28 + -20x2 + 20x2

Combine like terms: 28 + -28 = 0
-28 + -7X2 + 20x2 + 5x2X2 = 0 + -20x2 + 20x2
-28 + -7X2 + 20x2 + 5x2X2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-28 + -7X2 + 20x2 + 5x2X2 = 0

The solution to this equation could not be determined.

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