ax^2-5x^2+8ax-40z-(a-5)9=0

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Solution for ax^2-5x^2+8ax-40z-(a-5)9=0 equation: 


Simplifying
ax2 + -5x2 + 8ax + -40z + -1(a + -5) * 9 = 0

Reorder the terms:
ax2 + -5x2 + 8ax + -40z + -1(-5 + a) * 9 = 0

Reorder the terms for easier multiplication:
ax2 + -5x2 + 8ax + -40z + -1 * 9(-5 + a) = 0

Multiply -1 * 9
ax2 + -5x2 + 8ax + -40z + -9(-5 + a) = 0
ax2 + -5x2 + 8ax + -40z + (-5 * -9 + a * -9) = 0
ax2 + -5x2 + 8ax + -40z + (45 + -9a) = 0

Reorder the terms:
45 + -9a + 8ax + ax2 + -5x2 + -40z = 0

Solving
45 + -9a + 8ax + ax2 + -5x2 + -40z = 0

Solving for variable 'a'.

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

Add '-45' to each side of the equation.
45 + -9a + 8ax + ax2 + -5x2 + -45 + -40z = 0 + -45

Reorder the terms:
45 + -45 + -9a + 8ax + ax2 + -5x2 + -40z = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -9a + 8ax + ax2 + -5x2 + -40z = 0 + -45
-9a + 8ax + ax2 + -5x2 + -40z = 0 + -45

Combine like terms: 0 + -45 = -45
-9a + 8ax + ax2 + -5x2 + -40z = -45

Add '5x2' to each side of the equation.
-9a + 8ax + ax2 + -5x2 + 5x2 + -40z = -45 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-9a + 8ax + ax2 + 0 + -40z = -45 + 5x2
-9a + 8ax + ax2 + -40z = -45 + 5x2

Add '40z' to each side of the equation.
-9a + 8ax + ax2 + -40z + 40z = -45 + 5x2 + 40z

Combine like terms: -40z + 40z = 0
-9a + 8ax + ax2 + 0 = -45 + 5x2 + 40z
-9a + 8ax + ax2 = -45 + 5x2 + 40z

Reorder the terms:
45 + -9a + 8ax + ax2 + -5x2 + -40z = -45 + 5x2 + 40z + 45 + -5x2 + -40z

Reorder the terms:
45 + -9a + 8ax + ax2 + -5x2 + -40z = -45 + 45 + 5x2 + -5x2 + 40z + -40z

Combine like terms: -45 + 45 = 0
45 + -9a + 8ax + ax2 + -5x2 + -40z = 0 + 5x2 + -5x2 + 40z + -40z
45 + -9a + 8ax + ax2 + -5x2 + -40z = 5x2 + -5x2 + 40z + -40z

Combine like terms: 5x2 + -5x2 = 0
45 + -9a + 8ax + ax2 + -5x2 + -40z = 0 + 40z + -40z
45 + -9a + 8ax + ax2 + -5x2 + -40z = 40z + -40z

Combine like terms: 40z + -40z = 0
45 + -9a + 8ax + ax2 + -5x2 + -40z = 0

The solution to this equation could not be determined.

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