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Simplifying z2 + 3z + -70 = 0 Reorder the terms: -70 + 3z + z2 = 0 Solving -70 + 3z + z2 = 0 Solving for variable 'z'. Factor a trinomial. (-10 + -1z)(7 + -1z) = 0Subproblem 1
Set the factor '(-10 + -1z)' equal to zero and attempt to solve: Simplifying -10 + -1z = 0 Solving -10 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1z = 0 + 10 -1z = 0 + 10 Combine like terms: 0 + 10 = 10 -1z = 10 Divide each side by '-1'. z = -10 Simplifying z = -10Subproblem 2
Set the factor '(7 + -1z)' equal to zero and attempt to solve: Simplifying 7 + -1z = 0 Solving 7 + -1z = 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 + -1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 0 + -7 -1z = 0 + -7 Combine like terms: 0 + -7 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7Solution
z = {-10, 7}
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