(3x^2+4)-a=(9x^2-7)

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Solution for (3x^2+4)-a=(9x^2-7) equation:


Simplifying
(3x2 + 4) + -1a = (9x2 + -7)

Reorder the terms:
(4 + 3x2) + -1a = (9x2 + -7)

Remove parenthesis around (4 + 3x2)
4 + 3x2 + -1a = (9x2 + -7)

Reorder the terms:
4 + -1a + 3x2 = (9x2 + -7)

Reorder the terms:
4 + -1a + 3x2 = (-7 + 9x2)

Remove parenthesis around (-7 + 9x2)
4 + -1a + 3x2 = -7 + 9x2

Solving
4 + -1a + 3x2 = -7 + 9x2

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -1a + -4 + 3x2 = -7 + -4 + 9x2

Reorder the terms:
4 + -4 + -1a + 3x2 = -7 + -4 + 9x2

Combine like terms: 4 + -4 = 0
0 + -1a + 3x2 = -7 + -4 + 9x2
-1a + 3x2 = -7 + -4 + 9x2

Combine like terms: -7 + -4 = -11
-1a + 3x2 = -11 + 9x2

Add '-3x2' to each side of the equation.
-1a + 3x2 + -3x2 = -11 + 9x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1a + 0 = -11 + 9x2 + -3x2
-1a = -11 + 9x2 + -3x2

Combine like terms: 9x2 + -3x2 = 6x2
-1a = -11 + 6x2

Divide each side by '-1'.
a = 11 + -6x2

Simplifying
a = 11 + -6x2

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