5(5a-5)+20(a-4)+40=0

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Solution for 5(5a-5)+20(a-4)+40=0 equation:


Simplifying
5(5a + -5) + 20(a + -4) + 40 = 0

Reorder the terms:
5(-5 + 5a) + 20(a + -4) + 40 = 0
(-5 * 5 + 5a * 5) + 20(a + -4) + 40 = 0
(-25 + 25a) + 20(a + -4) + 40 = 0

Reorder the terms:
-25 + 25a + 20(-4 + a) + 40 = 0
-25 + 25a + (-4 * 20 + a * 20) + 40 = 0
-25 + 25a + (-80 + 20a) + 40 = 0

Reorder the terms:
-25 + -80 + 40 + 25a + 20a = 0

Combine like terms: -25 + -80 = -105
-105 + 40 + 25a + 20a = 0

Combine like terms: -105 + 40 = -65
-65 + 25a + 20a = 0

Combine like terms: 25a + 20a = 45a
-65 + 45a = 0

Solving
-65 + 45a = 0

Solving for variable 'a'.

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

Add '65' to each side of the equation.
-65 + 65 + 45a = 0 + 65

Combine like terms: -65 + 65 = 0
0 + 45a = 0 + 65
45a = 0 + 65

Combine like terms: 0 + 65 = 65
45a = 65

Divide each side by '45'.
a = 1.444444444

Simplifying
a = 1.444444444

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