49=350d-49d^2

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Solution for 49=350d-49d^2 equation:


Simplifying
49 = 350d + -49d2

Solving
49 = 350d + -49d2

Solving for variable 'd'.

Reorder the terms:
49 + -350d + 49d2 = 350d + -350d + -49d2 + 49d2

Combine like terms: 350d + -350d = 0
49 + -350d + 49d2 = 0 + -49d2 + 49d2
49 + -350d + 49d2 = -49d2 + 49d2

Combine like terms: -49d2 + 49d2 = 0
49 + -350d + 49d2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(7 + -50d + 7d2) = 0

Factor a trinomial.
7((1 + -7d)(7 + -1d)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(1 + -7d)' equal to zero and attempt to solve: Simplifying 1 + -7d = 0 Solving 1 + -7d = 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 + -7d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7d = 0 + -1 -7d = 0 + -1 Combine like terms: 0 + -1 = -1 -7d = -1 Divide each side by '-7'. d = 0.1428571429 Simplifying d = 0.1428571429

Subproblem 2

Set the factor '(7 + -1d)' equal to zero and attempt to solve: Simplifying 7 + -1d = 0 Solving 7 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1d = 0 + -7 -1d = 0 + -7 Combine like terms: 0 + -7 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7

Solution

d = {0.1428571429, 7}

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