7z(8+3)=5z(1+8)2z(-1+8)

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Solution for 7z(8+3)=5z(1+8)2z(-1+8) equation:


Simplifying
7z(8 + 3) = 5z(1 + 8) * 2z(-1 + 8)

Combine like terms: 8 + 3 = 11
7z(11) = 5z(1 + 8) * 2z(-1 + 8)

Reorder the terms for easier multiplication:
7 * 11z = 5z(1 + 8) * 2z(-1 + 8)

Multiply 7 * 11
77z = 5z(1 + 8) * 2z(-1 + 8)

Combine like terms: 1 + 8 = 9
77z = 5z(9) * 2z(-1 + 8)

Combine like terms: -1 + 8 = 7
77z = 5z * 9 * 2z(7)

Reorder the terms for easier multiplication:
77z = 5 * 9 * 2 * 7z * z

Multiply 5 * 9
77z = 45 * 2 * 7z * z

Multiply 45 * 2
77z = 90 * 7z * z

Multiply 90 * 7
77z = 630z * z

Multiply z * z
77z = 630z2

Solving
77z = 630z2

Solving for variable 'z'.

Combine like terms: 630z2 + -630z2 = 0
77z + -630z2 = 0

Factor out the Greatest Common Factor (GCF), '7z'.
7z(11 + -90z) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0

Subproblem 2
Set the factor '(11 + -90z)' equal to zero and attempt to solve:

Simplifying
11 + -90z = 0

Solving
11 + -90z = 0

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

Add '-11' to each side of the equation.
11 + -11 + -90z = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -90z = 0 + -11
-90z = 0 + -11

Combine like terms: 0 + -11 = -11
-90z = -11

Divide each side by '-90'.
z = 0.1222222222

Simplifying
z = 0.1222222222
Solution
z = {0, 0.1222222222}

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