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Simplifying 28 = z(z + 3) Reorder the terms: 28 = z(3 + z) 28 = (3 * z + z * z) 28 = (3z + z2) Solving 28 = 3z + z2 Solving for variable 'z'. Reorder the terms: 28 + -3z + -1z2 = 3z + -3z + z2 + -1z2 Combine like terms: 3z + -3z = 0 28 + -3z + -1z2 = 0 + z2 + -1z2 28 + -3z + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 28 + -3z + -1z2 = 0 Factor a trinomial. (4 + -1z)(7 + z) = 0Subproblem 1
Set the factor '(4 + -1z)' equal to zero and attempt to solve: Simplifying 4 + -1z = 0 Solving 4 + -1z = 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 + -1z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 0 + -4 -1z = 0 + -4 Combine like terms: 0 + -4 = -4 -1z = -4 Divide each side by '-1'. z = 4 Simplifying z = 4Subproblem 2
Set the factor '(7 + z)' equal to zero and attempt to solve: Simplifying 7 + z = 0 Solving 7 + z = 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 + z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + z = 0 + -7 z = 0 + -7 Combine like terms: 0 + -7 = -7 z = -7 Simplifying z = -7Solution
z = {4, -7}
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