(a-3)(a-8)=a^2-11a+24

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Solution for (a-3)(a-8)=a^2-11a+24 equation:


Simplifying
(a + -3)(a + -8) = a2 + -11a + 24

Reorder the terms:
(-3 + a)(a + -8) = a2 + -11a + 24

Reorder the terms:
(-3 + a)(-8 + a) = a2 + -11a + 24

Multiply (-3 + a) * (-8 + a)
(-3(-8 + a) + a(-8 + a)) = a2 + -11a + 24
((-8 * -3 + a * -3) + a(-8 + a)) = a2 + -11a + 24
((24 + -3a) + a(-8 + a)) = a2 + -11a + 24
(24 + -3a + (-8 * a + a * a)) = a2 + -11a + 24
(24 + -3a + (-8a + a2)) = a2 + -11a + 24

Combine like terms: -3a + -8a = -11a
(24 + -11a + a2) = a2 + -11a + 24

Reorder the terms:
24 + -11a + a2 = 24 + -11a + a2

Add '-24' to each side of the equation.
24 + -11a + -24 + a2 = 24 + -11a + -24 + a2

Reorder the terms:
24 + -24 + -11a + a2 = 24 + -11a + -24 + a2

Combine like terms: 24 + -24 = 0
0 + -11a + a2 = 24 + -11a + -24 + a2
-11a + a2 = 24 + -11a + -24 + a2

Reorder the terms:
-11a + a2 = 24 + -24 + -11a + a2

Combine like terms: 24 + -24 = 0
-11a + a2 = 0 + -11a + a2
-11a + a2 = -11a + a2

Add '11a' to each side of the equation.
-11a + 11a + a2 = -11a + 11a + a2

Combine like terms: -11a + 11a = 0
0 + a2 = -11a + 11a + a2
a2 = -11a + 11a + a2

Combine like terms: -11a + 11a = 0
a2 = 0 + a2
a2 = a2

Add '-1a2' to each side of the equation.
a2 + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
0 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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