(X^2-1)(3x^2+3)=150

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Solution for (X^2-1)(3x^2+3)=150 equation:


Simplifying
(X2 + -1)(3x2 + 3) = 150

Reorder the terms:
(-1 + X2)(3x2 + 3) = 150

Reorder the terms:
(-1 + X2)(3 + 3x2) = 150

Multiply (-1 + X2) * (3 + 3x2)
(-1(3 + 3x2) + X2(3 + 3x2)) = 150
((3 * -1 + 3x2 * -1) + X2(3 + 3x2)) = 150
((-3 + -3x2) + X2(3 + 3x2)) = 150
(-3 + -3x2 + (3 * X2 + 3x2 * X2)) = 150
(-3 + -3x2 + (3X2 + 3x2X2)) = 150

Reorder the terms:
(-3 + 3X2 + -3x2 + 3x2X2) = 150
(-3 + 3X2 + -3x2 + 3x2X2) = 150

Solving
-3 + 3X2 + -3x2 + 3x2X2 = 150

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + 3X2 + -3x2 + 3 + 3x2X2 = 150 + 3

Reorder the terms:
-3 + 3 + 3X2 + -3x2 + 3x2X2 = 150 + 3

Combine like terms: -3 + 3 = 0
0 + 3X2 + -3x2 + 3x2X2 = 150 + 3
3X2 + -3x2 + 3x2X2 = 150 + 3

Combine like terms: 150 + 3 = 153
3X2 + -3x2 + 3x2X2 = 153

Add '3x2' to each side of the equation.
3X2 + -3x2 + 3x2 + 3x2X2 = 153 + 3x2

Combine like terms: -3x2 + 3x2 = 0
3X2 + 0 + 3x2X2 = 153 + 3x2
3X2 + 3x2X2 = 153 + 3x2

Reorder the terms:
-153 + 3X2 + -3x2 + 3x2X2 = 153 + 3x2 + -153 + -3x2

Reorder the terms:
-153 + 3X2 + -3x2 + 3x2X2 = 153 + -153 + 3x2 + -3x2

Combine like terms: 153 + -153 = 0
-153 + 3X2 + -3x2 + 3x2X2 = 0 + 3x2 + -3x2
-153 + 3X2 + -3x2 + 3x2X2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-153 + 3X2 + -3x2 + 3x2X2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-51 + X2 + -1x2 + x2X2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-51 + X2 + -1x2 + x2X2)' equal to zero and attempt to solve: Simplifying -51 + X2 + -1x2 + x2X2 = 0 Solving -51 + X2 + -1x2 + x2X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '51' to each side of the equation. -51 + X2 + -1x2 + 51 + x2X2 = 0 + 51 Reorder the terms: -51 + 51 + X2 + -1x2 + x2X2 = 0 + 51 Combine like terms: -51 + 51 = 0 0 + X2 + -1x2 + x2X2 = 0 + 51 X2 + -1x2 + x2X2 = 0 + 51 Combine like terms: 0 + 51 = 51 X2 + -1x2 + x2X2 = 51 Add 'x2' to each side of the equation. X2 + -1x2 + x2 + x2X2 = 51 + x2 Combine like terms: -1x2 + x2 = 0 X2 + 0 + x2X2 = 51 + x2 X2 + x2X2 = 51 + x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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