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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) = 0Subproblem 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 = 0.7142857143Subproblem 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 = 0.7142857143Solution
z = {0.7142857143, 0.7142857143}
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