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Simplifying (7z + -3)(7z + -3) = 0 Reorder the terms: (-3 + 7z)(7z + -3) = 0 Reorder the terms: (-3 + 7z)(-3 + 7z) = 0 Multiply (-3 + 7z) * (-3 + 7z) (-3(-3 + 7z) + 7z * (-3 + 7z)) = 0 ((-3 * -3 + 7z * -3) + 7z * (-3 + 7z)) = 0 ((9 + -21z) + 7z * (-3 + 7z)) = 0 (9 + -21z + (-3 * 7z + 7z * 7z)) = 0 (9 + -21z + (-21z + 49z2)) = 0 Combine like terms: -21z + -21z = -42z (9 + -42z + 49z2) = 0 Solving 9 + -42z + 49z2 = 0 Solving for variable 'z'. Factor a trinomial. (3 + -7z)(3 + -7z) = 0Subproblem 1
Set the factor '(3 + -7z)' equal to zero and attempt to solve: Simplifying 3 + -7z = 0 Solving 3 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7z = 0 + -3 -7z = 0 + -3 Combine like terms: 0 + -3 = -3 -7z = -3 Divide each side by '-7'. z = 0.4285714286 Simplifying z = 0.4285714286Subproblem 2
Set the factor '(3 + -7z)' equal to zero and attempt to solve: Simplifying 3 + -7z = 0 Solving 3 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7z = 0 + -3 -7z = 0 + -3 Combine like terms: 0 + -3 = -3 -7z = -3 Divide each side by '-7'. z = 0.4285714286 Simplifying z = 0.4285714286Solution
z = {0.4285714286, 0.4285714286}
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