(7z-5)(7z-5)=

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Solution for (7z-5)(7z-5)= equation:


Simplifying
(7z + -5)(7z + -5) = 0

Reorder the terms:
(-5 + 7z)(7z + -5) = 0

Reorder the terms:
(-5 + 7z)(-5 + 7z) = 0

Multiply (-5 + 7z) * (-5 + 7z)
(-5(-5 + 7z) + 7z * (-5 + 7z)) = 0
((-5 * -5 + 7z * -5) + 7z * (-5 + 7z)) = 0
((25 + -35z) + 7z * (-5 + 7z)) = 0
(25 + -35z + (-5 * 7z + 7z * 7z)) = 0
(25 + -35z + (-35z + 49z2)) = 0

Combine like terms: -35z + -35z = -70z
(25 + -70z + 49z2) = 0

Solving
25 + -70z + 49z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(5 + -7z)(5 + -7z) = 0

Subproblem 1

Set the factor '(5 + -7z)' equal to zero and attempt to solve: Simplifying 5 + -7z = 0 Solving 5 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7z = 0 + -5 -7z = 0 + -5 Combine like terms: 0 + -5 = -5 -7z = -5 Divide each side by '-7'. z = 0.7142857143 Simplifying z = 0.7142857143

Subproblem 2

Set the factor '(5 + -7z)' equal to zero and attempt to solve: Simplifying 5 + -7z = 0 Solving 5 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7z = 0 + -5 -7z = 0 + -5 Combine like terms: 0 + -5 = -5 -7z = -5 Divide each side by '-7'. z = 0.7142857143 Simplifying z = 0.7142857143

Solution

z = {0.7142857143, 0.7142857143}

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