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Simplifying (7w + 2) * x(7w + 2) = 0 Reorder the terms: (2 + 7w) * x(7w + 2) = 0 Reorder the terms: (2 + 7w) * x(2 + 7w) = 0 Reorder the terms for easier multiplication: x(2 + 7w)(2 + 7w) = 0 Multiply (2 + 7w) * (2 + 7w) x(2(2 + 7w) + 7w * (2 + 7w)) = 0 x((2 * 2 + 7w * 2) + 7w * (2 + 7w)) = 0 x((4 + 14w) + 7w * (2 + 7w)) = 0 x(4 + 14w + (2 * 7w + 7w * 7w)) = 0 x(4 + 14w + (14w + 49w2)) = 0 Combine like terms: 14w + 14w = 28w x(4 + 28w + 49w2) = 0 (4 * x + 28w * x + 49w2 * x) = 0 Reorder the terms: (28wx + 49w2x + 4x) = 0 (28wx + 49w2x + 4x) = 0 Solving 28wx + 49w2x + 4x = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'x'. x(28w + 49w2 + 4) = 0 Factor a trinomial. x((7w + 2)(7w + 2)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7w + 2)' equal to zero and attempt to solve: Simplifying 7w + 2 = 0 Reorder the terms: 2 + 7w = 0 Solving 2 + 7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 0 + -2 7w = 0 + -2 Combine like terms: 0 + -2 = -2 7w = -2 Divide each side by '7'. w = -0.2857142857 Simplifying w = -0.2857142857Subproblem 3
Set the factor '(7w + 2)' equal to zero and attempt to solve: Simplifying 7w + 2 = 0 Reorder the terms: 2 + 7w = 0 Solving 2 + 7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 0 + -2 7w = 0 + -2 Combine like terms: 0 + -2 = -2 7w = -2 Divide each side by '7'. w = -0.2857142857 Simplifying w = -0.2857142857Solution
w = {-0.2857142857, -0.2857142857}
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