(z-7)(z-7)=0

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Solution for (z-7)(z-7)=0 equation:


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

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

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

Multiply (-7 + z) * (-7 + z)
(-7(-7 + z) + z(-7 + z)) = 0
((-7 * -7 + z * -7) + z(-7 + z)) = 0
((49 + -7z) + z(-7 + z)) = 0
(49 + -7z + (-7 * z + z * z)) = 0
(49 + -7z + (-7z + z2)) = 0

Combine like terms: -7z + -7z = -14z
(49 + -14z + z2) = 0

Solving
49 + -14z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(7 + -1z)(7 + -1z) = 0

Subproblem 1

Set the factor '(7 + -1z)' equal to zero and attempt to solve: Simplifying 7 + -1z = 0 Solving 7 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 0 + -7 -1z = 0 + -7 Combine like terms: 0 + -7 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7

Subproblem 2

Set the factor '(7 + -1z)' equal to zero and attempt to solve: Simplifying 7 + -1z = 0 Solving 7 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 0 + -7 -1z = 0 + -7 Combine like terms: 0 + -7 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7

Solution

z = {7, 7}

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