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Simplifying 7z2 + 12z = 64 Reorder the terms: 12z + 7z2 = 64 Solving 12z + 7z2 = 64 Solving for variable 'z'. Reorder the terms: -64 + 12z + 7z2 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + 12z + 7z2 = 0 Factor a trinomial. (-4 + -1z)(16 + -7z) = 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 '(16 + -7z)' equal to zero and attempt to solve: Simplifying 16 + -7z = 0 Solving 16 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -7z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -7z = 0 + -16 -7z = 0 + -16 Combine like terms: 0 + -16 = -16 -7z = -16 Divide each side by '-7'. z = 2.285714286 Simplifying z = 2.285714286Solution
z = {-4, 2.285714286}
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