3(x^2+1)-6(x^2+1)-45=0

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Solution for 3(x^2+1)-6(x^2+1)-45=0 equation:


Simplifying
3(x2 + 1) + -6(x2 + 1) + -45 = 0

Reorder the terms:
3(1 + x2) + -6(x2 + 1) + -45 = 0
(1 * 3 + x2 * 3) + -6(x2 + 1) + -45 = 0
(3 + 3x2) + -6(x2 + 1) + -45 = 0

Reorder the terms:
3 + 3x2 + -6(1 + x2) + -45 = 0
3 + 3x2 + (1 * -6 + x2 * -6) + -45 = 0
3 + 3x2 + (-6 + -6x2) + -45 = 0

Reorder the terms:
3 + -6 + -45 + 3x2 + -6x2 = 0

Combine like terms: 3 + -6 = -3
-3 + -45 + 3x2 + -6x2 = 0

Combine like terms: -3 + -45 = -48
-48 + 3x2 + -6x2 = 0

Combine like terms: 3x2 + -6x2 = -3x2
-48 + -3x2 = 0

Solving
-48 + -3x2 = 0

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + -3x2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + -3x2 = 0 + 48
-3x2 = 0 + 48

Combine like terms: 0 + 48 = 48
-3x2 = 48

Divide each side by '-3'.
x2 = -16

Simplifying
x2 = -16

Reorder the terms:
16 + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + x2 = 0

The solution to this equation could not be determined.

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