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Simplifying 49w2 + -84w + 36 = 0 Reorder the terms: 36 + -84w + 49w2 = 0 Solving 36 + -84w + 49w2 = 0 Solving for variable 'w'. Factor a trinomial. (6 + -7w)(6 + -7w) = 0Subproblem 1
Set the factor '(6 + -7w)' equal to zero and attempt to solve: Simplifying 6 + -7w = 0 Solving 6 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7w = 0 + -6 -7w = 0 + -6 Combine like terms: 0 + -6 = -6 -7w = -6 Divide each side by '-7'. w = 0.8571428571 Simplifying w = 0.8571428571Subproblem 2
Set the factor '(6 + -7w)' equal to zero and attempt to solve: Simplifying 6 + -7w = 0 Solving 6 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7w = 0 + -6 -7w = 0 + -6 Combine like terms: 0 + -6 = -6 -7w = -6 Divide each side by '-7'. w = 0.8571428571 Simplifying w = 0.8571428571Solution
w = {0.8571428571, 0.8571428571}
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