(a-1)x^2-4ax+4a+7=0

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Solution for (a-1)x^2-4ax+4a+7=0 equation:


Simplifying
(a + -1) * x2 + -4ax + 4a + 7 = 0

Reorder the terms:
(-1 + a) * x2 + -4ax + 4a + 7 = 0

Reorder the terms for easier multiplication:
x2(-1 + a) + -4ax + 4a + 7 = 0
(-1 * x2 + a * x2) + -4ax + 4a + 7 = 0

Reorder the terms:
(ax2 + -1x2) + -4ax + 4a + 7 = 0
(ax2 + -1x2) + -4ax + 4a + 7 = 0

Reorder the terms:
7 + 4a + -4ax + ax2 + -1x2 = 0

Solving
7 + 4a + -4ax + ax2 + -1x2 = 0

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + 4a + -4ax + ax2 + -7 + -1x2 = 0 + -7

Reorder the terms:
7 + -7 + 4a + -4ax + ax2 + -1x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4a + -4ax + ax2 + -1x2 = 0 + -7
4a + -4ax + ax2 + -1x2 = 0 + -7

Combine like terms: 0 + -7 = -7
4a + -4ax + ax2 + -1x2 = -7

Add 'x2' to each side of the equation.
4a + -4ax + ax2 + -1x2 + x2 = -7 + x2

Combine like terms: -1x2 + x2 = 0
4a + -4ax + ax2 + 0 = -7 + x2
4a + -4ax + ax2 = -7 + x2

Reorder the terms:
7 + 4a + -4ax + ax2 + -1x2 = -7 + x2 + 7 + -1x2

Reorder the terms:
7 + 4a + -4ax + ax2 + -1x2 = -7 + 7 + x2 + -1x2

Combine like terms: -7 + 7 = 0
7 + 4a + -4ax + ax2 + -1x2 = 0 + x2 + -1x2
7 + 4a + -4ax + ax2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7 + 4a + -4ax + ax2 + -1x2 = 0

The solution to this equation could not be determined.

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