ax^2+10x+(a-c)=0

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Solution for ax^2+10x+(a-c)=0 equation:


Simplifying
ax2 + 10x + (a + -1c) = 0

Remove parenthesis around (a + -1c)
ax2 + 10x + a + -1c = 0

Reorder the terms:
a + ax2 + -1c + 10x = 0

Solving
a + ax2 + -1c + 10x = 0

Solving for variable 'a'.

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

Add 'c' to each side of the equation.
a + ax2 + -1c + c + 10x = 0 + c

Combine like terms: -1c + c = 0
a + ax2 + 0 + 10x = 0 + c
a + ax2 + 10x = 0 + c
Remove the zero:
a + ax2 + 10x = c

Add '-10x' to each side of the equation.
a + ax2 + 10x + -10x = c + -10x

Combine like terms: 10x + -10x = 0
a + ax2 + 0 = c + -10x
a + ax2 = c + -10x

Reorder the terms:
a + ax2 + -1c + 10x = c + -1c + -10x + 10x

Combine like terms: c + -1c = 0
a + ax2 + -1c + 10x = 0 + -10x + 10x
a + ax2 + -1c + 10x = -10x + 10x

Combine like terms: -10x + 10x = 0
a + ax2 + -1c + 10x = 0

The solution to this equation could not be determined.

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