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Simplifying 4d2 + -14d = -10 Reorder the terms: -14d + 4d2 = -10 Solving -14d + 4d2 = -10 Solving for variable 'd'. Reorder the terms: 10 + -14d + 4d2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -14d + 4d2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -7d + 2d2) = 0 Factor a trinomial. 2((1 + -1d)(5 + -2d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1d)' equal to zero and attempt to solve: Simplifying 1 + -1d = 0 Solving 1 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = 0 + -1 -1d = 0 + -1 Combine like terms: 0 + -1 = -1 -1d = -1 Divide each side by '-1'. d = 1 Simplifying d = 1Subproblem 2
Set the factor '(5 + -2d)' equal to zero and attempt to solve: Simplifying 5 + -2d = 0 Solving 5 + -2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2d = 0 + -5 -2d = 0 + -5 Combine like terms: 0 + -5 = -5 -2d = -5 Divide each side by '-2'. d = 2.5 Simplifying d = 2.5Solution
d = {1, 2.5}
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