(8z-3)(z+6)-(8z-3)(z-5)=

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Solution for (8z-3)(z+6)-(8z-3)(z-5)= equation: 


Simplifying
(8z + -3)(z + 6) + -1(8z + -3)(z + -5) = 0

Reorder the terms:
(-3 + 8z)(z + 6) + -1(8z + -3)(z + -5) = 0

Reorder the terms:
(-3 + 8z)(6 + z) + -1(8z + -3)(z + -5) = 0

Multiply (-3 + 8z) * (6 + z)
(-3(6 + z) + 8z * (6 + z)) + -1(8z + -3)(z + -5) = 0
((6 * -3 + z * -3) + 8z * (6 + z)) + -1(8z + -3)(z + -5) = 0
((-18 + -3z) + 8z * (6 + z)) + -1(8z + -3)(z + -5) = 0
(-18 + -3z + (6 * 8z + z * 8z)) + -1(8z + -3)(z + -5) = 0
(-18 + -3z + (48z + 8z2)) + -1(8z + -3)(z + -5) = 0

Combine like terms: -3z + 48z = 45z
(-18 + 45z + 8z2) + -1(8z + -3)(z + -5) = 0

Reorder the terms:
-18 + 45z + 8z2 + -1(-3 + 8z)(z + -5) = 0

Reorder the terms:
-18 + 45z + 8z2 + -1(-3 + 8z)(-5 + z) = 0

Multiply (-3 + 8z) * (-5 + z)
-18 + 45z + 8z2 + -1(-3(-5 + z) + 8z * (-5 + z)) = 0
-18 + 45z + 8z2 + -1((-5 * -3 + z * -3) + 8z * (-5 + z)) = 0
-18 + 45z + 8z2 + -1((15 + -3z) + 8z * (-5 + z)) = 0
-18 + 45z + 8z2 + -1(15 + -3z + (-5 * 8z + z * 8z)) = 0
-18 + 45z + 8z2 + -1(15 + -3z + (-40z + 8z2)) = 0

Combine like terms: -3z + -40z = -43z
-18 + 45z + 8z2 + -1(15 + -43z + 8z2) = 0
-18 + 45z + 8z2 + (15 * -1 + -43z * -1 + 8z2 * -1) = 0
-18 + 45z + 8z2 + (-15 + 43z + -8z2) = 0

Reorder the terms:
-18 + -15 + 45z + 43z + 8z2 + -8z2 = 0

Combine like terms: -18 + -15 = -33
-33 + 45z + 43z + 8z2 + -8z2 = 0

Combine like terms: 45z + 43z = 88z
-33 + 88z + 8z2 + -8z2 = 0

Combine like terms: 8z2 + -8z2 = 0
-33 + 88z + 0 = 0
-33 + 88z = 0

Solving
-33 + 88z = 0

Solving for variable 'z'.

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

Add '33' to each side of the equation.
-33 + 33 + 88z = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 88z = 0 + 33
88z = 0 + 33

Combine like terms: 0 + 33 = 33
88z = 33

Divide each side by '88'.
z = 0.375

Simplifying
z = 0.375

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