9z(z+5)-(3z+2)(3z-2)=(2z-7)(2z-7)-(2z+5)(2z-5)+3

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Solution for 9z(z+5)-(3z+2)(3z-2)=(2z-7)(2z-7)-(2z+5)(2z-5)+3 equation: 


Simplifying
9z(z + 5) + -1(3z + 2)(3z + -2) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3

Reorder the terms:
9z(5 + z) + -1(3z + 2)(3z + -2) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3
(5 * 9z + z * 9z) + -1(3z + 2)(3z + -2) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3
(45z + 9z2) + -1(3z + 2)(3z + -2) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3

Reorder the terms:
45z + 9z2 + -1(2 + 3z)(3z + -2) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3

Reorder the terms:
45z + 9z2 + -1(2 + 3z)(-2 + 3z) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3

Multiply (2 + 3z) * (-2 + 3z)
45z + 9z2 + -1(2(-2 + 3z) + 3z * (-2 + 3z)) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3
45z + 9z2 + -1((-2 * 2 + 3z * 2) + 3z * (-2 + 3z)) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3
45z + 9z2 + -1((-4 + 6z) + 3z * (-2 + 3z)) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3
45z + 9z2 + -1(-4 + 6z + (-2 * 3z + 3z * 3z)) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3
45z + 9z2 + -1(-4 + 6z + (-6z + 9z2)) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3

Combine like terms: 6z + -6z = 0
45z + 9z2 + -1(-4 + 0 + 9z2) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3
45z + 9z2 + -1(-4 + 9z2) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3
45z + 9z2 + (-4 * -1 + 9z2 * -1) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3
45z + 9z2 + (4 + -9z2) = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3

Reorder the terms:
4 + 45z + 9z2 + -9z2 = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3

Combine like terms: 9z2 + -9z2 = 0
4 + 45z + 0 = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3
4 + 45z = (2z + -7)(2z + -7) + -1(2z + 5)(2z + -5) + 3

Reorder the terms:
4 + 45z = (-7 + 2z)(2z + -7) + -1(2z + 5)(2z + -5) + 3

Reorder the terms:
4 + 45z = (-7 + 2z)(-7 + 2z) + -1(2z + 5)(2z + -5) + 3

Multiply (-7 + 2z) * (-7 + 2z)
4 + 45z = (-7(-7 + 2z) + 2z * (-7 + 2z)) + -1(2z + 5)(2z + -5) + 3
4 + 45z = ((-7 * -7 + 2z * -7) + 2z * (-7 + 2z)) + -1(2z + 5)(2z + -5) + 3
4 + 45z = ((49 + -14z) + 2z * (-7 + 2z)) + -1(2z + 5)(2z + -5) + 3
4 + 45z = (49 + -14z + (-7 * 2z + 2z * 2z)) + -1(2z + 5)(2z + -5) + 3
4 + 45z = (49 + -14z + (-14z + 4z2)) + -1(2z + 5)(2z + -5) + 3

Combine like terms: -14z + -14z = -28z
4 + 45z = (49 + -28z + 4z2) + -1(2z + 5)(2z + -5) + 3

Reorder the terms:
4 + 45z = 49 + -28z + 4z2 + -1(5 + 2z)(2z + -5) + 3

Reorder the terms:
4 + 45z = 49 + -28z + 4z2 + -1(5 + 2z)(-5 + 2z) + 3

Multiply (5 + 2z) * (-5 + 2z)
4 + 45z = 49 + -28z + 4z2 + -1(5(-5 + 2z) + 2z * (-5 + 2z)) + 3
4 + 45z = 49 + -28z + 4z2 + -1((-5 * 5 + 2z * 5) + 2z * (-5 + 2z)) + 3
4 + 45z = 49 + -28z + 4z2 + -1((-25 + 10z) + 2z * (-5 + 2z)) + 3
4 + 45z = 49 + -28z + 4z2 + -1(-25 + 10z + (-5 * 2z + 2z * 2z)) + 3
4 + 45z = 49 + -28z + 4z2 + -1(-25 + 10z + (-10z + 4z2)) + 3

Combine like terms: 10z + -10z = 0
4 + 45z = 49 + -28z + 4z2 + -1(-25 + 0 + 4z2) + 3
4 + 45z = 49 + -28z + 4z2 + -1(-25 + 4z2) + 3
4 + 45z = 49 + -28z + 4z2 + (-25 * -1 + 4z2 * -1) + 3
4 + 45z = 49 + -28z + 4z2 + (25 + -4z2) + 3

Reorder the terms:
4 + 45z = 49 + 25 + 3 + -28z + 4z2 + -4z2

Combine like terms: 49 + 25 = 74
4 + 45z = 74 + 3 + -28z + 4z2 + -4z2

Combine like terms: 74 + 3 = 77
4 + 45z = 77 + -28z + 4z2 + -4z2

Combine like terms: 4z2 + -4z2 = 0
4 + 45z = 77 + -28z + 0
4 + 45z = 77 + -28z

Solving
4 + 45z = 77 + -28z

Solving for variable 'z'.

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

Add '28z' to each side of the equation.
4 + 45z + 28z = 77 + -28z + 28z

Combine like terms: 45z + 28z = 73z
4 + 73z = 77 + -28z + 28z

Combine like terms: -28z + 28z = 0
4 + 73z = 77 + 0
4 + 73z = 77

Add '-4' to each side of the equation.
4 + -4 + 73z = 77 + -4

Combine like terms: 4 + -4 = 0
0 + 73z = 77 + -4
73z = 77 + -4

Combine like terms: 77 + -4 = 73
73z = 73

Divide each side by '73'.
z = 1

Simplifying
z = 1

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