(4z-3)(z+6)-(4z-3)(z-5)=

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Solution for (4z-3)(z+6)-(4z-3)(z-5)= equation: 


Simplifying
(4z + -3)(z + 6) + -1(4z + -3)(z + -5) = 0

Reorder the terms:
(-3 + 4z)(z + 6) + -1(4z + -3)(z + -5) = 0

Reorder the terms:
(-3 + 4z)(6 + z) + -1(4z + -3)(z + -5) = 0

Multiply (-3 + 4z) * (6 + z)
(-3(6 + z) + 4z * (6 + z)) + -1(4z + -3)(z + -5) = 0
((6 * -3 + z * -3) + 4z * (6 + z)) + -1(4z + -3)(z + -5) = 0
((-18 + -3z) + 4z * (6 + z)) + -1(4z + -3)(z + -5) = 0
(-18 + -3z + (6 * 4z + z * 4z)) + -1(4z + -3)(z + -5) = 0
(-18 + -3z + (24z + 4z2)) + -1(4z + -3)(z + -5) = 0

Combine like terms: -3z + 24z = 21z
(-18 + 21z + 4z2) + -1(4z + -3)(z + -5) = 0

Reorder the terms:
-18 + 21z + 4z2 + -1(-3 + 4z)(z + -5) = 0

Reorder the terms:
-18 + 21z + 4z2 + -1(-3 + 4z)(-5 + z) = 0

Multiply (-3 + 4z) * (-5 + z)
-18 + 21z + 4z2 + -1(-3(-5 + z) + 4z * (-5 + z)) = 0
-18 + 21z + 4z2 + -1((-5 * -3 + z * -3) + 4z * (-5 + z)) = 0
-18 + 21z + 4z2 + -1((15 + -3z) + 4z * (-5 + z)) = 0
-18 + 21z + 4z2 + -1(15 + -3z + (-5 * 4z + z * 4z)) = 0
-18 + 21z + 4z2 + -1(15 + -3z + (-20z + 4z2)) = 0

Combine like terms: -3z + -20z = -23z
-18 + 21z + 4z2 + -1(15 + -23z + 4z2) = 0
-18 + 21z + 4z2 + (15 * -1 + -23z * -1 + 4z2 * -1) = 0
-18 + 21z + 4z2 + (-15 + 23z + -4z2) = 0

Reorder the terms:
-18 + -15 + 21z + 23z + 4z2 + -4z2 = 0

Combine like terms: -18 + -15 = -33
-33 + 21z + 23z + 4z2 + -4z2 = 0

Combine like terms: 21z + 23z = 44z
-33 + 44z + 4z2 + -4z2 = 0

Combine like terms: 4z2 + -4z2 = 0
-33 + 44z + 0 = 0
-33 + 44z = 0

Solving
-33 + 44z = 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 + 44z = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 44z = 0 + 33
44z = 0 + 33

Combine like terms: 0 + 33 = 33
44z = 33

Divide each side by '44'.
z = 0.75

Simplifying
z = 0.75

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