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

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


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

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

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

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

Combine like terms: -3z + 28z = 25z
(-12 + 25z + 7z2) + -1(7z + -3)(z + -3) = 0

Reorder the terms:
-12 + 25z + 7z2 + -1(-3 + 7z)(z + -3) = 0

Reorder the terms:
-12 + 25z + 7z2 + -1(-3 + 7z)(-3 + z) = 0

Multiply (-3 + 7z) * (-3 + z)
-12 + 25z + 7z2 + -1(-3(-3 + z) + 7z * (-3 + z)) = 0
-12 + 25z + 7z2 + -1((-3 * -3 + z * -3) + 7z * (-3 + z)) = 0
-12 + 25z + 7z2 + -1((9 + -3z) + 7z * (-3 + z)) = 0
-12 + 25z + 7z2 + -1(9 + -3z + (-3 * 7z + z * 7z)) = 0
-12 + 25z + 7z2 + -1(9 + -3z + (-21z + 7z2)) = 0

Combine like terms: -3z + -21z = -24z
-12 + 25z + 7z2 + -1(9 + -24z + 7z2) = 0
-12 + 25z + 7z2 + (9 * -1 + -24z * -1 + 7z2 * -1) = 0
-12 + 25z + 7z2 + (-9 + 24z + -7z2) = 0

Reorder the terms:
-12 + -9 + 25z + 24z + 7z2 + -7z2 = 0

Combine like terms: -12 + -9 = -21
-21 + 25z + 24z + 7z2 + -7z2 = 0

Combine like terms: 25z + 24z = 49z
-21 + 49z + 7z2 + -7z2 = 0

Combine like terms: 7z2 + -7z2 = 0
-21 + 49z + 0 = 0
-21 + 49z = 0

Solving
-21 + 49z = 0

Solving for variable 'z'.

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

Add '21' to each side of the equation.
-21 + 21 + 49z = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 49z = 0 + 21
49z = 0 + 21

Combine like terms: 0 + 21 = 21
49z = 21

Divide each side by '49'.
z = 0.4285714286

Simplifying
z = 0.4285714286

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