(4z-3)(z+9)-(4z-3)(z-8)=

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Solution for (4z-3)(z+9)-(4z-3)(z-8)= equation: 


Simplifying
(4z + -3)(z + 9) + -1(4z + -3)(z + -8) = 0

Reorder the terms:
(-3 + 4z)(z + 9) + -1(4z + -3)(z + -8) = 0

Reorder the terms:
(-3 + 4z)(9 + z) + -1(4z + -3)(z + -8) = 0

Multiply (-3 + 4z) * (9 + z)
(-3(9 + z) + 4z * (9 + z)) + -1(4z + -3)(z + -8) = 0
((9 * -3 + z * -3) + 4z * (9 + z)) + -1(4z + -3)(z + -8) = 0
((-27 + -3z) + 4z * (9 + z)) + -1(4z + -3)(z + -8) = 0
(-27 + -3z + (9 * 4z + z * 4z)) + -1(4z + -3)(z + -8) = 0
(-27 + -3z + (36z + 4z2)) + -1(4z + -3)(z + -8) = 0

Combine like terms: -3z + 36z = 33z
(-27 + 33z + 4z2) + -1(4z + -3)(z + -8) = 0

Reorder the terms:
-27 + 33z + 4z2 + -1(-3 + 4z)(z + -8) = 0

Reorder the terms:
-27 + 33z + 4z2 + -1(-3 + 4z)(-8 + z) = 0

Multiply (-3 + 4z) * (-8 + z)
-27 + 33z + 4z2 + -1(-3(-8 + z) + 4z * (-8 + z)) = 0
-27 + 33z + 4z2 + -1((-8 * -3 + z * -3) + 4z * (-8 + z)) = 0
-27 + 33z + 4z2 + -1((24 + -3z) + 4z * (-8 + z)) = 0
-27 + 33z + 4z2 + -1(24 + -3z + (-8 * 4z + z * 4z)) = 0
-27 + 33z + 4z2 + -1(24 + -3z + (-32z + 4z2)) = 0

Combine like terms: -3z + -32z = -35z
-27 + 33z + 4z2 + -1(24 + -35z + 4z2) = 0
-27 + 33z + 4z2 + (24 * -1 + -35z * -1 + 4z2 * -1) = 0
-27 + 33z + 4z2 + (-24 + 35z + -4z2) = 0

Reorder the terms:
-27 + -24 + 33z + 35z + 4z2 + -4z2 = 0

Combine like terms: -27 + -24 = -51
-51 + 33z + 35z + 4z2 + -4z2 = 0

Combine like terms: 33z + 35z = 68z
-51 + 68z + 4z2 + -4z2 = 0

Combine like terms: 4z2 + -4z2 = 0
-51 + 68z + 0 = 0
-51 + 68z = 0

Solving
-51 + 68z = 0

Solving for variable 'z'.

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

Add '51' to each side of the equation.
-51 + 51 + 68z = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 68z = 0 + 51
68z = 0 + 51

Combine like terms: 0 + 51 = 51
68z = 51

Divide each side by '68'.
z = 0.75

Simplifying
z = 0.75

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