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Simplifying (7z + -4)(z + -9) = 0 Reorder the terms: (-4 + 7z)(z + -9) = 0 Reorder the terms: (-4 + 7z)(-9 + z) = 0 Multiply (-4 + 7z) * (-9 + z) (-4(-9 + z) + 7z * (-9 + z)) = 0 ((-9 * -4 + z * -4) + 7z * (-9 + z)) = 0 ((36 + -4z) + 7z * (-9 + z)) = 0 (36 + -4z + (-9 * 7z + z * 7z)) = 0 (36 + -4z + (-63z + 7z2)) = 0 Combine like terms: -4z + -63z = -67z (36 + -67z + 7z2) = 0 Solving 36 + -67z + 7z2 = 0 Solving for variable 'z'. Factor a trinomial. (4 + -7z)(9 + -1z) = 0Subproblem 1
Set the factor '(4 + -7z)' equal to zero and attempt to solve: Simplifying 4 + -7z = 0 Solving 4 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7z = 0 + -4 -7z = 0 + -4 Combine like terms: 0 + -4 = -4 -7z = -4 Divide each side by '-7'. z = 0.5714285714 Simplifying z = 0.5714285714Subproblem 2
Set the factor '(9 + -1z)' equal to zero and attempt to solve: Simplifying 9 + -1z = 0 Solving 9 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 0 + -9 -1z = 0 + -9 Combine like terms: 0 + -9 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9Solution
z = {0.5714285714, 9}
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