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Simplifying 9x2 + 48xw + 64w2 = 0 Reorder the terms: 48wx + 64w2 + 9x2 = 0 Solving 48wx + 64w2 + 9x2 = 0 Solving for variable 'w'. Factor a trinomial. (8w + 3x)(8w + 3x) = 0Subproblem 1
Set the factor '(8w + 3x)' equal to zero and attempt to solve: Simplifying 8w + 3x = 0 Solving 8w + 3x = 0 Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. 8w + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 8w + 0 = 0 + -3x 8w = 0 + -3x Remove the zero: 8w = -3x Divide each side by '8'. w = -0.375x Simplifying w = -0.375xSubproblem 2
Set the factor '(8w + 3x)' equal to zero and attempt to solve: Simplifying 8w + 3x = 0 Solving 8w + 3x = 0 Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. 8w + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 8w + 0 = 0 + -3x 8w = 0 + -3x Remove the zero: 8w = -3x Divide each side by '8'. w = -0.375x Simplifying w = -0.375xSolution
w = {-0.375x, -0.375x}
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