3x^2-6a-52=-7

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Solution for 3x^2-6a-52=-7 equation:


Simplifying
3x2 + -6a + -52 = -7

Reorder the terms:
-52 + -6a + 3x2 = -7

Solving
-52 + -6a + 3x2 = -7

Solving for variable 'a'.

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

Add '52' to each side of the equation.
-52 + -6a + 52 + 3x2 = -7 + 52

Reorder the terms:
-52 + 52 + -6a + 3x2 = -7 + 52

Combine like terms: -52 + 52 = 0
0 + -6a + 3x2 = -7 + 52
-6a + 3x2 = -7 + 52

Combine like terms: -7 + 52 = 45
-6a + 3x2 = 45

Add '-3x2' to each side of the equation.
-6a + 3x2 + -3x2 = 45 + -3x2

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

Divide each side by '-6'.
a = -7.5 + 0.5x2

Simplifying
a = -7.5 + 0.5x2

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