(7z-3)(z+5)-(7z-3)(z-4)=

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Solution for (7z-3)(z+5)-(7z-3)(z-4)= equation: 


Simplifying
(7z + -3)(z + 5) + -1(7z + -3)(z + -4) = 0

Reorder the terms:
(-3 + 7z)(z + 5) + -1(7z + -3)(z + -4) = 0

Reorder the terms:
(-3 + 7z)(5 + z) + -1(7z + -3)(z + -4) = 0

Multiply (-3 + 7z) * (5 + z)
(-3(5 + z) + 7z * (5 + z)) + -1(7z + -3)(z + -4) = 0
((5 * -3 + z * -3) + 7z * (5 + z)) + -1(7z + -3)(z + -4) = 0
((-15 + -3z) + 7z * (5 + z)) + -1(7z + -3)(z + -4) = 0
(-15 + -3z + (5 * 7z + z * 7z)) + -1(7z + -3)(z + -4) = 0
(-15 + -3z + (35z + 7z2)) + -1(7z + -3)(z + -4) = 0

Combine like terms: -3z + 35z = 32z
(-15 + 32z + 7z2) + -1(7z + -3)(z + -4) = 0

Reorder the terms:
-15 + 32z + 7z2 + -1(-3 + 7z)(z + -4) = 0

Reorder the terms:
-15 + 32z + 7z2 + -1(-3 + 7z)(-4 + z) = 0

Multiply (-3 + 7z) * (-4 + z)
-15 + 32z + 7z2 + -1(-3(-4 + z) + 7z * (-4 + z)) = 0
-15 + 32z + 7z2 + -1((-4 * -3 + z * -3) + 7z * (-4 + z)) = 0
-15 + 32z + 7z2 + -1((12 + -3z) + 7z * (-4 + z)) = 0
-15 + 32z + 7z2 + -1(12 + -3z + (-4 * 7z + z * 7z)) = 0
-15 + 32z + 7z2 + -1(12 + -3z + (-28z + 7z2)) = 0

Combine like terms: -3z + -28z = -31z
-15 + 32z + 7z2 + -1(12 + -31z + 7z2) = 0
-15 + 32z + 7z2 + (12 * -1 + -31z * -1 + 7z2 * -1) = 0
-15 + 32z + 7z2 + (-12 + 31z + -7z2) = 0

Reorder the terms:
-15 + -12 + 32z + 31z + 7z2 + -7z2 = 0

Combine like terms: -15 + -12 = -27
-27 + 32z + 31z + 7z2 + -7z2 = 0

Combine like terms: 32z + 31z = 63z
-27 + 63z + 7z2 + -7z2 = 0

Combine like terms: 7z2 + -7z2 = 0
-27 + 63z + 0 = 0
-27 + 63z = 0

Solving
-27 + 63z = 0

Solving for variable 'z'.

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

Add '27' to each side of the equation.
-27 + 27 + 63z = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 63z = 0 + 27
63z = 0 + 27

Combine like terms: 0 + 27 = 27
63z = 27

Divide each side by '63'.
z = 0.4285714286

Simplifying
z = 0.4285714286

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