7x(z+11)(z-11)=

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Solution for 7x(z+11)(z-11)= equation:


Simplifying
7x(z + 11)(z + -11) = 0

Reorder the terms:
7x(11 + z)(z + -11) = 0

Reorder the terms:
7x(11 + z)(-11 + z) = 0

Multiply (11 + z) * (-11 + z)
7x(11(-11 + z) + z(-11 + z)) = 0
7x((-11 * 11 + z * 11) + z(-11 + z)) = 0
7x((-121 + 11z) + z(-11 + z)) = 0
7x(-121 + 11z + (-11 * z + z * z)) = 0
7x(-121 + 11z + (-11z + z2)) = 0

Combine like terms: 11z + -11z = 0
7x(-121 + 0 + z2) = 0
7x(-121 + z2) = 0
(-121 * 7x + z2 * 7x) = 0
(-847x + 7xz2) = 0

Solving
-847x + 7xz2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-121 + z2) = 0

Factor a difference between two squares.
7x((11 + z)(-11 + z)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(11 + z)' equal to zero and attempt to solve: Simplifying 11 + z = 0 Solving 11 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + z = 0 + -11 z = 0 + -11 Combine like terms: 0 + -11 = -11 z = -11 Add '-1z' to each side of the equation. z + -1z = -11 + -1z Combine like terms: z + -1z = 0 0 = -11 + -1z Simplifying 0 = -11 + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-11 + z)' equal to zero and attempt to solve: Simplifying -11 + z = 0 Solving -11 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + z = 0 + 11 z = 0 + 11 Combine like terms: 0 + 11 = 11 z = 11 Add '-1z' to each side of the equation. z + -1z = 11 + -1z Combine like terms: z + -1z = 0 0 = 11 + -1z Simplifying 0 = 11 + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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