a^2+14a-1-(a^2+8a-25)=

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Solution for a^2+14a-1-(a^2+8a-25)= equation:


Simplifying
a2 + 14a + -1 + -1(a2 + 8a + -25) = 0

Reorder the terms:
a2 + 14a + -1 + -1(-25 + 8a + a2) = 0
a2 + 14a + -1 + (-25 * -1 + 8a * -1 + a2 * -1) = 0
a2 + 14a + -1 + (25 + -8a + -1a2) = 0

Reorder the terms:
-1 + 25 + 14a + -8a + a2 + -1a2 = 0

Combine like terms: -1 + 25 = 24
24 + 14a + -8a + a2 + -1a2 = 0

Combine like terms: 14a + -8a = 6a
24 + 6a + a2 + -1a2 = 0

Combine like terms: a2 + -1a2 = 0
24 + 6a + 0 = 0
24 + 6a = 0

Solving
24 + 6a = 0

Solving for variable 'a'.

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

Add '-24' to each side of the equation.
24 + -24 + 6a = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 6a = 0 + -24
6a = 0 + -24

Combine like terms: 0 + -24 = -24
6a = -24

Divide each side by '6'.
a = -4

Simplifying
a = -4

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