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Simplifying 15z2 + -53z = 28 Reorder the terms: -53z + 15z2 = 28 Solving -53z + 15z2 = 28 Solving for variable 'z'. Reorder the terms: -28 + -53z + 15z2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -53z + 15z2 = 0 Factor a trinomial. (-7 + -15z)(4 + -1z) = 0Subproblem 1
Set the factor '(-7 + -15z)' equal to zero and attempt to solve: Simplifying -7 + -15z = 0 Solving -7 + -15z = 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 + -15z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -15z = 0 + 7 -15z = 0 + 7 Combine like terms: 0 + 7 = 7 -15z = 7 Divide each side by '-15'. z = -0.4666666667 Simplifying z = -0.4666666667Subproblem 2
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 = 4Solution
z = {-0.4666666667, 4}
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