-2x[4x(-2a-3)-(-3a)]=-6-3x[-3a-2x(2a-4)]

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Solution for -2x[4x(-2a-3)-(-3a)]=-6-3x[-3a-2x(2a-4)] equation:


Simplifying
-2x[4x(-2a + -3) + -1(-3a)] = -6 + -3x[-3a + -2x(2a + -4)]

Reorder the terms:
-2x[4x(-3 + -2a) + -1(-3a)] = -6 + -3x[-3a + -2x(2a + -4)]
-2x[(-3 * 4x + -2a * 4x) + -1(-3a)] = -6 + -3x[-3a + -2x(2a + -4)]

Reorder the terms:
-2x[(-8ax + -12x) + -1(-3a)] = -6 + -3x[-3a + -2x(2a + -4)]
-2x[(-8ax + -12x) + -1(-3a)] = -6 + -3x[-3a + -2x(2a + -4)]

Remove parenthesis around (-3a)
-2x[-8ax + -12x + -1 * -3a] = -6 + -3x[-3a + -2x(2a + -4)]

Multiply -1 * -3
-2x[-8ax + -12x + 3a] = -6 + -3x[-3a + -2x(2a + -4)]

Reorder the terms:
-2x[3a + -8ax + -12x] = -6 + -3x[-3a + -2x(2a + -4)]
[3a * -2x + -8ax * -2x + -12x * -2x] = -6 + -3x[-3a + -2x(2a + -4)]
[-6ax + 16ax2 + 24x2] = -6 + -3x[-3a + -2x(2a + -4)]

Reorder the terms:
-6ax + 16ax2 + 24x2 = -6 + -3x[-3a + -2x(-4 + 2a)]
-6ax + 16ax2 + 24x2 = -6 + -3x[-3a + (-4 * -2x + 2a * -2x)]

Reorder the terms:
-6ax + 16ax2 + 24x2 = -6 + -3x[-3a + (-4ax + 8x)]
-6ax + 16ax2 + 24x2 = -6 + -3x[-3a + (-4ax + 8x)]
-6ax + 16ax2 + 24x2 = -6 + [-3a * -3x + -4ax * -3x + 8x * -3x]
-6ax + 16ax2 + 24x2 = -6 + [9ax + 12ax2 + -24x2]

Solving
-6ax + 16ax2 + 24x2 = -6 + 9ax + 12ax2 + -24x2

Solving for variable 'a'.

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

Add '-9ax' to each side of the equation.
-6ax + 16ax2 + -9ax + 24x2 = -6 + 9ax + 12ax2 + -9ax + -24x2

Reorder the terms:
-6ax + -9ax + 16ax2 + 24x2 = -6 + 9ax + 12ax2 + -9ax + -24x2

Combine like terms: -6ax + -9ax = -15ax
-15ax + 16ax2 + 24x2 = -6 + 9ax + 12ax2 + -9ax + -24x2

Reorder the terms:
-15ax + 16ax2 + 24x2 = -6 + 9ax + -9ax + 12ax2 + -24x2

Combine like terms: 9ax + -9ax = 0
-15ax + 16ax2 + 24x2 = -6 + 0 + 12ax2 + -24x2
-15ax + 16ax2 + 24x2 = -6 + 12ax2 + -24x2

Add '-12ax2' to each side of the equation.
-15ax + 16ax2 + -12ax2 + 24x2 = -6 + 12ax2 + -12ax2 + -24x2

Combine like terms: 16ax2 + -12ax2 = 4ax2
-15ax + 4ax2 + 24x2 = -6 + 12ax2 + -12ax2 + -24x2

Combine like terms: 12ax2 + -12ax2 = 0
-15ax + 4ax2 + 24x2 = -6 + 0 + -24x2
-15ax + 4ax2 + 24x2 = -6 + -24x2

Add '-24x2' to each side of the equation.
-15ax + 4ax2 + 24x2 + -24x2 = -6 + -24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-15ax + 4ax2 + 0 = -6 + -24x2 + -24x2
-15ax + 4ax2 = -6 + -24x2 + -24x2

Combine like terms: -24x2 + -24x2 = -48x2
-15ax + 4ax2 = -6 + -48x2

Reorder the terms:
6 + -15ax + 4ax2 + 48x2 = -6 + -48x2 + 6 + 48x2

Reorder the terms:
6 + -15ax + 4ax2 + 48x2 = -6 + 6 + -48x2 + 48x2

Combine like terms: -6 + 6 = 0
6 + -15ax + 4ax2 + 48x2 = 0 + -48x2 + 48x2
6 + -15ax + 4ax2 + 48x2 = -48x2 + 48x2

Combine like terms: -48x2 + 48x2 = 0
6 + -15ax + 4ax2 + 48x2 = 0

The solution to this equation could not be determined.

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